number theorist names:B

1. Eric Bach
   • Analytic Methods in the Analysis and Design of Number-Theoretic Algorithms, MIT Press, 1985. [ACM Distinguished Dissertation Series.]
   • Algorithmic Number Theory, Vol. 1, E. Bach, J.O. Shallit, MIT Press, August 1996
     • Algorithmic Number Theory - Bibliography, BibTeX files for Algorithmic Number Theory, Vol. 1, J.O. Shallit, Eric Bach, MIT Press 1996
2. Henrik Bachmann
   • Multiple Eisenstein series and q-analogues of multiple zeta values, PhD thesis, Henrik Bachmann, University of Hamburg, 2015
3. Christine Bachoc
4. Dmitry Badziahin
   • Dynamics and Analytic Number Theory, Ed. Dzmitry Badziahin, Alexander Gorodnik, Norbert Peyerimhoff, LMS Lecture Note Series 457, CUP 2016
5. Ricardo Baeza
   • Quadratic Forms-Algebra, Arithmetic, and Geometry, Ed. Ricardo Baeza, Wai Kiu Chan, Detlev W. Hoffmann, Rainer Schulze-Pillot, Contemporary Mathematics 493, AMS 2009
6. Christian Bagshaw
7. Shi Bai
8. Stephan Baier
   • Über Zugänge von Hua und Pan Chengdong zum Primzahlzwillingsproblem, PhD thesis, Stephan Baier, FU-Berlin 2000
9. David Bailey
10. Aurélien Bajolet
11. Roger Baker
    • Kloosterman sums and Maass forms, Volume 1, Roger C. Baker, Kendrick Press 2003
12. Matt Baker
    • Algebraic number theory notes (Matt Baker - pdf)
13. Steve Balady
14. Jennifer Balakrishnan
    • Number Theory Informed by Computation, Ed. Jennifer S. Balakrishnan, Bjorn Poonen, Akshay Venkatesh, AS/Park City Mathematics Series 29, 2026
    • Ogg's torsion conjecture: Fifty years later, Jennifer S. Balakrishnan and Barry Mazur, with an appendix by Netan Dogra, Bull. Amer. Math. Soc. 62 (2025), 235-268
15. Eugenio Balanzario Gutiérrez
16. Ramachandran Balasubramanian
17. Baskar Balasubramanyam
    • p-Adic Aspects of Modular Forms, Edited by Baskar Balasubramanyam, Haruzo Hida, A. Raghuram, Jacques Tilouine, World Scientific 2016
18. Michel Balazard
19. Francesco Baldassarri
20. Olga Balkanova
21. Cristina Ballantine
22. François Ballaÿ
    • Approximation diophantienne sur les variétés projectives et les groupes algébriques commutatifs, PhD thesis, François Ballaÿ, Université Clermont Auvergne 2017
23. Christian Ballot
    • The Lucas Sequences, Theory and Applications, Christian J.-C. Ballot, Hugh C. Williams, Springer 2023
24. Antal Balog
25. Erik Balslev
26. Siegfred Baluyot
27. Ram Prakash Bambah
28. Alex Samuel Bamunoba
29. Grzegorz Banaszak
30. Andrea Bandini
31. Debargha Banerjee
32. Debika Banerjee
33. Kalyan Banerjee
34. Koustav Banerjee
35. Pradipto Banerjee
36. Soumyarup Banerjee
37. Efrat Bank
38. William Banks
39. Kenichi Bannai
    • Development Of Iwasawa Theory: The Centennial of K. Iwasawa's Birth, Ed. Masato Kurihara, Kenichi Bannai, Tadashi Ochiai, Takeshi Tsuji, Advanced Studies in Pure Mathematics, Vol. 86, 2020
40. Barinder S. Banwait
41. Burcu Baran
42. Arthur Baragar
43. Ed Barbeau
    • Pell's Equation, E. Barbeau, Problem Books in Mathematics, Springer 2003
44. Razvan Barbulescu
45. Gintautas Bareikis
46. Rupam Barman
47. Klaus Barner
48. Thomas Barnet-Lamb
    • On Potential Automorphy, and other topics in Number Theory, PhD thesis, Thomas Barnet-Lamb, Harvard University 2009
49. Adrian Barquero-Sanchez
50. Alex Barrios
51. Fabrizio Barroero
52. Francesc Bars
    • Arithmetic Geometry over Global Function Fields, Eds. Gebhard Böckle, David Goss, Dinesh Thakur, Douglas Ulmer, Francesc Bars, Ignazio Longhi, Fabien Trihan, Advanced Courses in Mathematics - CRM Barcelona, Birkhäuser, 2014
    • On the Tamagawa number conjecture, PhD thesis, Francesc Bars, Universitat Autonòma de Barcelona 2001
53. Alex Barhtel
54. Robin Bartlett
55. Krystyna Bartz
56. Nayandeep Deka Baruah
57. Ehud Moshe Baruch
58. Lior Bary-Soroker
59. Debmalya Basak
60. Julius Basilla
61. Francesco Battistoni
62. Jens-Dietrich Bauch
63. Claus Bauer
64. Mark Bauer
65. Peter Bauer
    • Zur Verteilung der Nullstellen der Dirichletschen L-Reihen, Dissertation, Peter Bauer, Frankfürt am Main, 1997
66. Christoph Baxa
67. Abdelmejid Bayad
68. Eva Bayer-Fluckiger
69. Jonathan Bayless
70. Carter Bays
71. András Bazsó
72. Danilo Bazzanella
73. József Beck
    • Probabilistic Diophantine Approximation, József Beck, Springer Monographs in Mathematics, 2014
    • Irregularities of Distribution, W. Chen, J. Beck, Cambridge Tract 89, CUP 1987
74. Matthias Beck
    • Computing the Continuous Discretely, Integer-Point Enumeration in Polyhedra, Matthias Beck, Sinai Robins, Springer 2015
75. Olivia Beckwith
76. Jennifer Beineke
77. Paul Beirne
78. Karim Belabas
    • Numerical Algorithms for Number Theory: Using Pari/GP, Karim Belabas, Henri Cohen, Mathematical Surveys and Monographs 254, AMS 2019
    • Explicit Methods in Number Theory Rational Points and Diophantine Equations, Karim Belabas, Hendrik W. Lenstra Jr., Pierrick Gaudry, Michael Stoll, Mark Watkins, William McCallum & Bjorn Poonen, Frits Beukers, Samir Siksek, Panoramas et synthèses 36 (2012)
    • Le Théorème de Fermat (Karim Belabas and Catherine Goldstein)
79. Juliana Belding
    • Number theoretic algorithms for elliptic curves, PhD thesis, Juliana Belding, University of Maryland, College Park, 2008
80. Constantin-Nicolae Beli
81. Jason P. Bell
82. Renee Bell
83. Jean-Robert Belliard
84. Joël Bellaïche
85. Chiara Bellotti
86. Rebecca Bellovin
87. Mikhail Belolipetsky
88. Jacques Benatar
89. Andreas Bender
90. Robert Benedetto
91. Lea Beneish
92. Paloma Bengoechea
93. Stan Benkoski
94. Kübra Benlı
95. Mike Bennett
    • Data on Mordell's curve y²=x³+k (Michael Bennett)
96. Denis Benois
    • p-Adic Heights and p-Adic Hodge Theory, Denis Benois, Memoires de la Société Mathématique de France, Vol. 167, 2021
97. Attila Bérczes
98. Daniel Berend
99. Lisa Berger
    • Explicit Arithmetic of Jacobians of Generalized Legendre Curves Over Global Function Fields, Lisa Berger, Chris Hall, Rene Pannekoek, Rachel Pries, Shahed Sharif, Alice Silverberg, Douglas Ulmer, Jennifer Park, Memoirs of the AMS 1295, AMS 2020
100. Victor Beresnevich
     • Sums of Reciprocals of Fractional Parts and Multiplicative Diophantine Approximation, Victor Beresnevich, Alan Haynes, Sanju Velani, Memoirs of the American Mathematical Society, Volume 1276, 2020
101. Michael Berg
     • Geometric modular forms and elliptic curves, (second edition) Haruzo Hida, World Scientific, 2011, MAA Review by Michael Berg
     • Elliptic Curves, Modular Forms, and Their L-functions, Álvaro Lozano-Robledo, Student Mathematical Library 58, 2011, AMS, MAA Review by Michael Berg
     • The Fourier-Analytic Proof of Quadratic Reciprocity, M.C. Berg, Wiley 2000
102. John Bergdall
     • On the variation of (φ,Γ)-modules over p-adic families of automorphic forms, PhD thesis, John F. Bergdall, Brandeis University, 2013
103. Laurent Berger
     • Elliptic Curves, Hilbert Modular Forms and Galois Deformations, L. Berger, G. Böckle, L. Dembélé, M. Dimitrov, T. Dokchitser, J. Voight, Birkhäuser, 2013
     • Review of p-adic differential equations, by Kiran Kedlaya, Reviewer: Laurent Berger
     • Representations p-adiques de Groupes p-adiques I: Representations Galoisiennes et (, Γ)-Modules, Edited by: Laurent Berger, Christophe Breuil, Pierre Colmez, Astérisque 319, 2008
     • Représentations p-adiques et équations différentialles, PhD, Laurent Berger, Paris 6, 2001
104. Lisa Berger
105. Tobias Berger
106. Dominique Bernardi
     • Les Conjectures de Stark sur les Fonctions L d'Artin en s=0, notes by Dominique Bernardi, Progress in Math. 47 Birkhäuser 1984
107. Julien Bernat
108. Bruce Berndt
     • Ramanujan's Lost Notebook, Part II, Bruce Berndt, George Andrews, Springer January 2009
     • Hecke's theory of modular forms and Dirichlet series (2nd Printing with revisions), Bruce Berndt, Marvin Knopp, Monographs in Mathematics 5, World Scientific 2007
     • Number Theory in the Spirit of Ramanujan, Bruce Berndt, AMS Student Mathematical Library 34 (September) 2006
     • Ramanujan's Lost Notebook Part I, George Andrews, Bruce Berndt, Springer 2005
     • Surveys in Number Theory: Papers from the Millennial Conference on Number Theory, Ed. Bruce Berndt et al., A.K. Peters 2002
     • q-Series with Applications to Combinatorics, Number Theory, and Physics, Ed. Bruce Berndt, Ken Ono, Contemporary Mathematics 291 2001
     • Ramanujan: Essays and Surveys, (Ed.) B.C. Berndt, R.A. Rankin, History of Mathematics Series, November 2001, AMS
     • Ramanujan's Notebooks Part II, B.C. Berndt, Springer 1998
     • Gauss and Jacobi Sums, B.C. Berndt, R.J. Evans, K.S. Williams, Wiley, Canadian Mathematical Society Series of Monographs and Advanced Texts 21, 1998
     • Ramanujan's Notebooks Part V, B.C. Berndt, Springer 1998
     • Analytic Number Theory: Proceedings of Conference in Honour of Heini Halberstam (ed) B.C. Berndt, H.G. Diamond, A.J. Hildebrandt, Progress in Mathematics 139, Birkhaüser 1996
     • Ramanujan: Letters and Commentary, R.A. Rankin, B.C. Berndt, History of Mathematics 9, AMS 1995
     • Ramanujan's Notebooks Part IV, B.C. Berndt, Springer 1994
     • The Continued Fractions Found in the Unorganized Portions of Ramanujan's Notebooks G.E. Andrews, B.C. Berndt, L. Jacobsen, R.L. Lamphere, Memoirs of the AMS 99, AMS 1992
     • Ramanujan's Notebooks Part III, B.C. Berndt, Springer 1991
     • Ramanujan's Notebooks Part I, B.C. Berndt, Springer 1985
     • The determination of Gauss sums, Bruce C. Berndt; Ronald J. Evans, Bull. Amer. Math. Soc. 5 (1981), 107-129
109. Rolf Berndt
110. Christian Bernert
111. Vasily Bernik
     • Metric Diophantine Approximation on Manifolds, V.I. Bernik, M.M. Dodson, CUP 1999
112. Dan Bernstein
     • Dan Bernstein biography
     • Post Quantum Cryptography, Ed. Dan Bernstein, Johannes Buchmann, Erik Dahmen, Springer 2009
     • An exposition of the Agrawal-Kayal-Saxena primality-proving theorem (Dan Bernstein)
     • Math 514 (Dan Bernstein)
113. Pedro Berrizbeitia
     • Algoritmos deterministas de primalidad, Pedro Berrizbeitia, 2004
114. Marie-José Bertin
115. Csanád Bertók
116. Cristiana Bertolin
117. Massimo Bertolini
118. Daniel Bertrand
119. Lubjana Beshaj
     • Algebraic Curves and Their Applications, Ed. Lubjana Beshaj, Tony Shaska, AMS Contemporary Mathematics, Volume 724, 2019
120. Amnon Besser
121. Alex Best
122. Adel Betina
123. Sandro Bettin
     • Moments, Period Functions and Cotangent Sums, PhD thesis, Sandro Bettin, University of Bristol, 2010
124. Alexander Betts
125. Frits Beukers
     • A passion for numbers, farewell lecture of Frits Beukers 14 November 2019
     • Explicit Methods in Number Theory Rational Points and Diophantine Equations, Karim Belabas, Hendrik W. Lenstra Jr., Pierrick Gaudry, Michael Stoll, Mark Watkins, William McCallum & Bjorn Poonen, Frits Beukers, Samir Siksek, Panoramas et synthèses 36 (2012)
     • The generalized Fermat equation (Frits Beukers)
     • The ABC-conjecture, Frits Beukers, ABC-day, Leiden, September 9, 2005
     • The Riemann zeta function and its relatives (Frits Beukers)
     • Getaltheorie voor beginners, F. Beukers, Epsilon Uitgaven, Utrecht 1999
126. Jean-Paul Bezivin
127. Vishal Bhardwaj
128. Manjul Bhargava
     • Quanta magazine article on elliptic curves
     • Quadratic and Higher Degree Forms, Krishnaswami Alladi, Manjul Bhargava, Dave Savitt, Pham Huu Tiep, Developments in Mathematics, Vol. 31, Springer 2013
     • The first Ramanujan colloquium, Manjul Bhargava, Sums of squares and the "290" theorem
129. Soumya Bhattacharya
130. Gautami Bhowmik
     • Algebraic and Analytic Aspects of Zeta Functions and L-functions, MSJ Memoirs, vol. 21, G. Bhowmik, K. Matsumoto and H. Tsumura (eds.), Mathematical Society of Japan, 2010
131. Jean-François Biasse
132. Pierre-Yves Bienvenu
133. Kirsti Biggs
     • On additive problems involving shifted integers and ellipsephic sets, PhD thesis, Kirsti Biggs, University of Bristol, 2019
134. Nicolas Billerey
     • Points de torsion des courbes elliptiques et équations diophantines, PhD thesis, Nicolas Billerey, Université Pierre et Marie Curie - Paris VI, 2009
135. Margaret Bilu
136. Yuri Bilu
     • The Problem of Catalan, Yuri Bilu, Yann Bugeaud, Maurice Mignotte, Springer, 2014
     • Papers on Catalan's conjecture by Yuri Bilu
137. Gai Binyamini
138. Bryan Birch
     • Heegner points: the beginnings, Bryan Birch, 2004
139. Chris Birkbeck
140. András Birò
     • Number Theory, Analysis, and Combinatorics, Proceedings of the Paul Turan Memorial Conference held August 22-26, 2011 in Budapes, Ed. J, Pintz, A. Biró, K. Győry, G. Harcos, M. Simonovits, J. Szabados, De Gruyter Proceedings in Mathematics, 2013
141. Arunabha Biswas
142. Guido Blady
     • Die Weil-Restriktionen elliptischer Kurven in der Kryptographie, Diplomarbeit, Guido Blady, Essen 2002
143. Don Blasius
144. Richard Blecksmith
145. Werner Bley
146. Marija Bliznac Trebješanin
147. Valentin Blomer
     • The role of the Ramanujan conjecture in analytic number theory, Valentin Blomer and Farrell Brumley, Bull. Amer. Math. Soc. January 2013
     • Contributions in Analytic and Algebraic Number Theory, Ed. Valentin Blomer, Preda Mihăilescu, Springer Proceedings in Mathematics 9, 2012
     • Million Euro prize awarded to Valentin Blomer
     • Valentin Blomer awarded the 2010 Ribenboim prize
148. Samuel Bloom
     • Lang-Trotter Questions on the Reductions of Abelian Varieties, PhD thesis, Samuel Bloom, University of Maryland, 2018
149. Thomas Bloom
     • Quantitative topics in arithmetic combinatorics, PhD thesis, Thomas Bloom, University of Bristol, 2014
150. Jonathan Bober
     • Slide talk - New computations of the Riemann zeta function, Jonathan Bober (joint work with Ghaith Hiary)
151. Florin Boca
152. Siegfried Böcherer
     • Automorphic forms and zeta functions: Proceedings of a Conference in Memory of Tsuneo Arakawa, Ed. Siegfried Böcherer, Tomoyoshi Ibukiyama, Masanobu Kaneko, Fumihiro Sato , World Scientific 2006
153. Gebhard Böckle
     • t-Motives: Hodge Structures, Transcendence and Other Motivic Aspects, Gebhard Böckle, David Goss, Urs Hartl, Matthew Papanikolasm European Mathematical Society 2020
     • Arithmetic Geometry over Global Function Fields, Eds. Gebhard Böckle, David Goss, Dinesh Thakur, Douglas Ulmer, Francesc Bars, Ignazio Longhi, Fabien Trihan, Advanced Courses in Mathematics - CRM Barcelona, Birkhäuser, 2014
     • Computations with Modular Forms, Ed. Gebhard Böckle, Gabor Wiese, Contributions in Mathematical and Computational Sciences, Vol. 6, Springer 2014
     • Elliptic Curves, Hilbert Modular Forms and Galois Deformations, L. Berger, G. Böckle, L. Dembélé, M. Dimitrov, T. Dokchitser, J. Voight, Birkhäuser, 2013
     • Nicolas Bergeron
     • Cohomological Theory of Crystals over Function Fields, Gebhard Böckle and Richard Pink, EMS Tracts in Mathematics Vol. 9, 2009
154. Arnaud Bodin
155. Fedor Bogomolov
     • Geometric Methods in Algebra and Number Theory, Fedor Bogomolov, Yuri Tschinkel (Eds.) Progress in Mathematics, Vol. 235 , Birkhäuser 2005
156. Arnaud Bodin
157. Enrico Bombieri
     • The zeta function: a mystery 283 years old, Lecture by 2022 Crafoord Laureate Enrico Bombieri
     • The zeta function: Learning from trying, Lecture by 2022 Crafoord Laureate Enrico Bombieri
     • Enrico Bombieri (MacTutor biography)
     • Le Grand Crible dans la Théorie Analytique des Nombres, Enrico Bombieri, Astérisque 18, SMF 1974
     • Heights in Diophantine Geometry, Enrico Bombieri, Walter Gubler, New Mathematical Monographs 4, CUP 2006
158. Raymond van Bommel
159. Nicolae Bonciocat
160. Andrii Bondarenko
161. Dante Bonolis
     • Applications of the Riemann Hypothesis over Finite Fields in Analytic Number Theory, PhD thesis, Dante Bonolis, ETH 2028
162. Jeremy Booher
     • The class number one problem for imaginary quadratic fields, Jeremy Booher
163. Andrew Booker
     • The sum-of-three-cubes for the number 3 has been solved by Andrew Booker and Andrew Sutherland
     • Uncovering a New L-function, Andrew R. Booker, Notices of the AMS, Volume 55, October 2008
     • Turing and the Riemann Hypothesis, Andrew Booker, Notices of the AMS., 53 (2006) 1208-1211
     • The Nth prime page (Andrew Booker)
164. Olivier Bordellès
     • Arithmetic Tales, Olivier Bordellès, Springer 2020
165. Matteo Bordignon
166. James Borger
167. Alexander Borisov
168. Itshak Borosh
169. Peter Borwein
     • The Riemann Hypothesis: A Resource for the Afficionado and Virtuoso Alike, P. Borwein, S. Choi, B. Rooney, A. Weirathmueller (Eds.), CMS Books in Mathematics XIV, 2008, Springer
     • Computational Excursions in Analysis and Number Theory, P. Borwein, CMS Books in Mathematics 11, Springer NY
     • Pi and the AGM, P. Borwein, J.M. Borwein, Wiley-Interscience 1987, ISBN 0-471-83138-7
     • A Dictionary of Real Numbers, P. Borwein, J.M. Borwein, Wadsworth 1990
     • Polynomials and Polynomial Inequalities, P. Borwein, T. Erdélyi, Graduate Text 161, Springer 1995
     • Pi: A Source Book, L. Berggren, J. Borwein, P. Borwein, Springer-Verlag 1997
170. Joppe Bos
     • Topics in Computational Number Theory Inspired by Peter L. Montgomery, Ed. Joppe W. Bos, Arjen K. Lenstra, CUP 2017
     • On the Cryptanalysis of Public-Key Cryptography, PhD thesis, Joppe Willem Bos, EPL Lausanne, 2012
171. Wieb Bosma
     • Algorithmic Number Theory, Ed. W. Bosma, Proceedings of ANTS-IV, LNCS 1838, Springer 2000
     • Aliquot sequences (Wieb Bosma)
     • Computational Algebra and Number Theory, Ed. (A.J. van der Poorten, W. Bosma), Mathematics and its Applications 325, Kluwer 1995, ISBN 0-7923-3501-5
172. Johan Bosman
     • Computational Aspects of Modular Forms and Galois Representations: How One Can Compute in Polynomial Time the Value of Ramanujan's Tau at a Prime, Ed. Bas Edixhoven & Jean-Marc Couveignes, with Robin de Jong, Franz Merkl & Johan Bosman
173. Vincent Bosser
174. Alin Bostan
175. Félix Baril Boudreau
176. Zouhair Boughadi
177. Abbey Bourdon
178. Jean Bourgain
179. Thanasis Bouganis
     • Iwasawa Theory 2012, Eds. Thanasis Bouganis, Otmar Venjakob, Contributions in Mathematical and Computational Sciences, Vol. 7, Springer 2014,
180. Irene Bouw
     • Women in Numbers Europe II, Editors: Irene Bouw, Ekin Özman, Jennifer Johnson-Leung, Rachel Newton, Springer 2018
181. Florian Bouyer
182. Douglas Bowman
183. George Boxer
184. David Boyd
185. Pascal Boyer
     • Cours d'arithmétique, notes by Pascal Boyer
186. Hatice Boylan
     • Jacobi Forms, Finite Quadratic Modules and Weil Representations over Number Fields, Hatice Boylan, Lecture Notes in Mathematics, Vol. 2130, Springer 2015
187. Matt Boylan
188. David Bradley
189. Miljan Brakočević
190. Julia Brandes
     • Local-Global principles for linear spaces on hypersurfaces, PhD thesis, Julia Brandes, University of Bristol 2014
191. Riccardo Brasca
192. Johan Bredberg
     • On large gaps between consecutive zeros, on the critical line, of some zeta-functions, PhD thesis, Johan Bredberg, University of Oxford, 2011
193. Ben Breen
194. Andrew Bremner
195. Barry Brent
196. Richard Brent
     • Modern Computer Arithmetic, Richard Brent and Paul Zimmermann, Cambridge University Press, 2010
     • Computing Bernoulli and Tangent Numbers
     • Factorization of F10
197. David Bressoud
     • A Course in Computational Number Theory, D. Bressoud, S. Wagon, Wiley 2000
     • Factorization and Primality Testing, D.M. Bressoud, Undergraduate Text, Springer 1989
     • The Rademacher Legacy to Mathematics, D.M. Bressoud, G.E. Andrews and L.A. Parsons, Contemporary Mathematics 166, AMS 1994
198. Florian Breuer
     • On the André-Oort conjecture and Drinfeld modular curves, PhD thesis, Florian Breuer, Université Denis Diderot (Paris 7), 2003
199. Christophe Breuil
     • Conjectures and results on modular representations of GL_n(K) for a p-adic field K, Ed. Christophe Breuil, Florian Herzig, Yongquan Hu, Stefano Morra, Benjamin Schraen, AMS 2026
     • Representations p-adiques de Groupes p-adiques I: Representations Galoisiennes et (, Γ)-Modules, Edited by: Laurent Berger, Christophe Breuil, Pierre Colmez, Astérisque 319, 2008
200. Manuel Breuning
     • Equivariant epsilon constants for Galois extensions of number fields and p-adic fields, PhD thesis, Manuel Breuning, Kings College, London, England, 2004
201. Walter Bridges
     • Combinatorial and asymptotic statistical properties of partitions and unimodal sequences, PhD thesis, Walter Bridges, Louisiana State University, 2020
202. Keith Briggs
     • Klein polyhedra (Keith Briggs)
     • Some experimental approaches to Diophantine approximation problems (Keith Briggs)
     • XR-exact real arithmetic package (Keith Briggs)
     • A bibliography of papers related to simultaneous diophantine approximation (Keith Briggs)
203. Martin Bright
     • Computations on Diagonal Quartic Surfaces, PhD thesis, Martin Bright, Cambridge 2003
204. Kathrin Bringmann
     • Harmonic Maass Forms and Mock Modular Forms: Theory and Applications, Kathrin Bringmann, Amanda Folsom, Ken Ono, Larry Rolen, AMS Colloquium Publications Volume 64, 2017
     • Four Faces of Number Theory, Kathrin Bringmann, Yann Bugeaud, Titus Hilberdink, Jürgen Sander, EMS Publishing House, 2015
     • Applications of Poincare series on Jacobi groups Ph.D. Thesis, Kathrin Bringmann, University of Heidelberg, 2004
205. Olivier Brinon
206. Nicolas Brisebarre
207. David Broadhurst
208. Reinier Bröker
     • Constructing elliptic curves of prescribed order, PhD thesis, Reinier Bröker, Leiden University, 2006
209. Kevin Broughan
     • Bounded gaps between primes: the epic breakthroughs of the early 21st century, Kevin Broughan, CUP 2021, 576p+xiv
     • Equivalents of the Riemann Hypothesis, Kevin Broughan
       • Volume One: Arithmetic equivalents, CUP 2017
       • Volume Two: Analytic equivalents, CUP 2017
       • Volume Three: Further Steps Towards Resolving the Riemann Hypothesis, CUP 2023
     • GL(n)pack Home Page (Kevin Broughan)
210. Frederik Broucke
211. Ezra Brown
     • The Unity of Combinatorics, Ezra Brown, Richard Guy, The Carus Mathematical Monographs, Volume 36, 2020
     • Biscuits of Number Theory, Ed. Ezra Brown, Arthur Benjamin, MAA, 2009
     • Three Connections to Continued Fractions, Ezra Brown
212. Jim Brown
213. Kenneth Brown
     • Shimura images of a family of half-integral weight modular forms, PhD thesis, Kenneth Brown, University of South Carolina - Columbia, 2013
214. Martin L. Brown
     • Heegner Modules and Elliptic Curves, Martin L. Brown, Lecture Notes in Mathematics, 1849, Springer 2004
     • Shafarevich-Tate groups, M.L. Brown, Frontiers in Mathematics, Birkhäuser, 2025
215. Peter Brown
216. Tim Browning
     • Quantitative Arithmetic of Projective Varieties, Tim Browning, Progress in Mathematics, Vol. 277, Birkhäuser, 2010
     • Analytic Methods for Diophantine Equations and Diophantine Inequalities, H. Davenport (Ed. Tim Browning), CUP 2005
     • Counting Rational Points on Curves and Surfaces , DPhil. Thesis, Tim Browning, Oxford 2001
217. Dale Brownawell
218. Ben Brubaker
     • Weyl Group Multiple Dirichlet Series: Type A Combinatorial Theory, Ben Brubaker, Daniel Bump, Solomon Friedberg, Annals of Mathematics Studies Vol. 175, Princeton University Press 2011
219. Jörg Brüdern
220. Roelof Bruggeman
     • Holomorphic Automorphic Forms and Cohomology, Roelof Bruggeman, Youngju Choie, Nikolaos Diamantis, Memoirs of the American Mathematical Society, Volume 253, No. 1212, AMS, 2018
     • Period Functions for Maass Wave Forms and Cohomology, R. Bruggemann, J. Lewis, D. Zagier, Memoirs of the American Mathematical Society, AMS 2015
     • Families of Automorphic Forms, R.W. Bruggeman, Monographs in Mathematics, Volume 88, Birkhäuser 1994, Review, Audrey A. Terras, Bull. Amer. Math. Soc. 33 (1996), 77-80
221. Nils Bruin
     • Arithmetic, Geometry, Cryptography and Coding Theory, Ed. Nils Bruin, David Kohel, Chloe Martindale AMS, 2026
     • Chabauty methods and covering techniques applied to generalized Fermat equations, CWI Tract 133, Nils Bruin 2002
     • Generalization of the ABC-conjecture, Nils Bruin, Master Thesis, Leiden University, 1995
222. Peter Bruin
     • Modular curves, Arakelov theory, algorithmic applications, PhD thesis, Universiteit Leiden, 1 September 2010
     • Green functions on Riemann surfaces and an application to Arakelov theory, Master's thesis, Peter Bruin, Universiteit Leiden, 2006
223. Jan Bruinier
     • Arithmetic Volumes of Unitary Shimura Varieties, Jan Hendrik Bruinier, Benjamin Howard, AMS 2026
     • The 1-2-3 of Modular Forms, Bruinier, J.H., van der Geer, G., Harder, G., Zagier, D., Springer Universitext 2008
     • EIS, computing Fourier coefficients of Eisenstein series attached to lattices, (M. Kuss and J. Bruinier)
224. Armand Brumer
225. Farrell Brumley
     • Around Langlands Correspondences, Ed. Farrell Brumley, Maria Paula Gómez Aparicio, Alberto Minguez, Contemporary Mathematics, Vol. 691, AMS 2017
     • The role of the Ramanujan conjecture in analytic number theory, Valentin Blomer and Farrell Brumley, Bull. Amer. Math. Soc. January 2013
226. François Brunault
     • Many Variations of Mahler Measures: A Lasting Symphony, François Brunault, Wadim Zudilin, CUP, 2020
     • Étude de la valeur en s=2 de la fonction L d'une courbe elliptique, PhD thesis, François Brunault, Université Paris 7 Denis-Diderot, 2005
227. Carmen Bruni
228. Juliusz Brzezinski
229. Ralph Buchholz
230. Johannes Buchmann
     • Post Quantum Cryptography, Ed. Dan Bernstein, Johannes Buchmann, Erik Dahmen, Springer 2009
     • Binary Quadratic Forms: An Algorithmic Approach, Johannes Buchmann, Ulrich Vollmer, Algorithms and Computation in Mathematics , 20, Springer 2007
     • Introduction to Cryptography, J. Buchmann, Undergraduate Text Springer 2000
231. Paul Buckingham
     • The canonical fractional Galois ideal at s=0, PhD thesis, Paul Buckingham, Universtiy of Sheffield, 2008
232. Alina Ioana Bucur
     • Analytic Methods in Arithmetic Geometry, Ed. Alina Bucur, David Zureick-Brown, AMS Contemporary Mathematics, Volume: 740, 2019
233. Natalia Viktorovna Budarina
234. Mark Budden
235. Duncan Buell
     • Algorithmic Number Theory, Proceedings of ANTS-VI, Ed. Duncan Buell, Springer 2004
     • Computational Perspectives on Number Theory: Proceedings of a Conference in Honor of A. O. L. Atkin, Ed. D. A. Buell, J. T. Teitelbaum, AMS/IP Studies in Advanced Mathematics, Vol 7, 1998
     • Binary Quadratic Forms, D.A. Buell, Springer 1989 (see errors and php program and tables)
236. Yann Bugeaud
     • Documenta Mathematica, Extra Vol., Mahler Selecta (2019) eLibM, also see bottom of Michael Baake's page
     • Linear Forms in Logarithms and Applications, Yann Bugeaud, IRMA Lectures in Mathematics and Theoretical Physics Vol. 28, 2018, Review by Allan Stenger
     • Four Faces of Number Theory, Kathrin Bringmann, Yann Bugeaud, Titus Hilberdink, Jürgen Sander, EMS Publishing House, 2015
     • The Problem of Catalan, Yuri Bilu, Yann Bugeaud, Maurice Mignotte, Springer, 2014
     • Distribution Modulo One and Diophantine Approximation, Yann Bugeaud, Cambridge Tract 193, 2012
       • Review of Yann Bugeaud's book Distribution modulo one and Diophantine approximation, by Jean-Paul Allouche
     • Dynamical Systems and Diophantine Approximation, Ed. Yann Bugeaud, Françoise Dal'Bo, Cornelia Druţu, Séminaires et Congrès, Volume 19, 2011
     • Approximation by Algebraic Numbers, Yann Bugeaud, Cambridge Tract 160, CUP October 2004
237. Joe Buhler
     • Algorithmic Number Theory, Edited by Joe P. Buhler and Peter Stevenhagen, Mathematical Sciences Research Institute Publications, December 2008 CUP, also see Preliminary version
238. Hung Manh Bui
239. Alexandru Buium
     • Arithmetic Differential Equations, Alexandru Buium, AMS Mathematical Surveys and Monographs 118 2005
240. Sanda Bujačić
241. Michal Bulant
     • Algebra 2 - number theory for teacher education, Michal Bulant (in Czech)
     • Class number parity of a compositum of quadratic fields, PhD thesis, Michal Bulant, Masaryk University, Brno 2002 (pdf 419K)
242. Dan Bump
     • Weyl Group Multiple Dirichlet Series: Type A Combinatorial Theory, Ben Brubaker, Daniel Bump, Solomon Friedberg, Annals of Mathematics Studies Vol. 175, Princeton University Press 2011
     • Multiple Dirichlet Series, L-functions and Automorphic Forms, Ed. Daniel Bump, Solomon Friedberg, Dorian Goldfeld, Progress in Mathematics Vol. 300, Birkhäuser Basel, 2012
     • Multiple Dirichlet Series, Automorphic Forms, and Analytic Number Theory, Ed. Solomon Friedberg, Daniel Bump, Dorian Goldfeld, Jeffrey Hoffstein, Proceedings of Symposia in Pure Mathematics 75, AMS, Dec 2006
     • Algebraic Geometry, D. Bump, World Scientific 1998
     • Automorphic Forms and Representations, CUP 1996
     • On some applications of automorphic forms to number theory, Daniel Bump, Solomon Friedberg, Jeffrey Hoffstein, Bull. Amer. Math. Soc. 33 (1996), 157-175
     • Automorphic Forms on GL(3,R), Lecture Notes in Mathematics 1083, Springer 1984
243. Dominik Burek
244. Edward Burger
     • Making Transcendence Transparent: An intuitive approach to classical transcendental number theory, Ed Burger, Robert Tubbs, Springer 2004
     • Exploring the Number Jungle: A Journey into Diophantine Analysis, E.B. Burger, AMS Student Mathematical Library 8, 2000
245. Annika Burmester
246. Jean-François Burnol
247. David Burns
     • On Refined Conjectures of Birch and Swinnerton-Dyer Type for Hasse-Weil-Artin L-Series, David Burns, Daniel Macias Castillo, Memoirs of the AMS, Vol. 297, No. 1482, 2024
     • L-Functions and Galois Representations, Ed. David Burns, Kevin Buzzard, Jan Nekovář, LMS Lecture Notes 320 CUP 2007
     • Stark's Conjectures: Recent Work and New Directions, Ed. David Burns, Christian Popescu, Jonathan Sands, David Solomon, Contemporary Mathematics 358, AMS 2004
248. Claire Burrin
249. Ashay Burungale
250. Michael Bush
     • p-class towers of imaginary quadratic fields, PhD thesis, Michael Bush, University of Illinois at Urbana-Champaign, 2004
251. Jan Büthe
252. Jack Buttcane
253. Kazim Büyükboduk
254. Kevin Buzzard
     • L-functions (Kevin Buzzard)
     • L-Functions and Galois Representations, Ed. David Burns, Kevin Buzzard, Jan Nekovář, LMS Lecture Notes 320 CUP 2007
     • Kevin Buzzard receives the 2002 LMS Whitehead Prize
     • Book Review by Kevin Buzzard of Modular Forms and Fermat's Last Theorem, G. Cornell, J.H. Silverman, G. Stevens, Editors
     • The Levels of Modular Representations, PhD Thesis, Kevin Buzzard, Cambridge University
255. DongHo Byeon
256. Nigel Byott

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Last modified 21st July 2026