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. Christine Bachoc
3. 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
4. Shi Bai
5. Stephan Baier
   • Über Zugänge von Hua und Pan Chengdong zum Primzahlzwillingsproblem, PhD thesis, Stephan Baier, FU-Berlin 2000
6. David Bailey
7. Alan Baker
   • A Comprehensive Course in Number Theory, Alan Baker, CUP 2012
   • A Tribute to Paul Erdös, Ed. Alan Baker, Bela Bollabás, Andras Hajnal, CUP 2008
   • Logarithmic Forms and Diophantine Geometry, Alan Baker, Gisbert Wüstholz, New Mathematical Monographs (No. 9), CUP 2008
   • Alan Baker (MacTutor biography)
   • A Concise Introduction to the Theory of Numbers, A. Baker, CUP 1985
   • New Advances in Transcendence Theory, (Ed. A. Baker), CUP 1988
   • Transcendental Number Theory, (Revised Edn.) A. Baker, CUP 1990
   • Catalan's Conjecture, Review of P. Ribenboim, Academic Press 1994, (Alan Baker) Bulletin Volume 32 Issue 1, January 1995, pages 110-112
8. Roger Baker
   • Kloosterman sums and Maass forms, Volume 1, Roger C. Baker, Kendrick Press 2003
9. Matt Baker
   • Algebraic number theory notes (Matt Baker - pdf)
10. Jennifer Balakrishnan
11. Eugenio Balanzario
12. Michel Balazard
13. Francesco Baldassarri
14. Cristina Ballantine
15. Christian Ballot
16. Antal Balog
17. Erik Balslev
18. Grzegorz Banaszak
19. Andrea Bandini
20. Debargha Banerjee
21. William Banks
22. Kenichi Bannai
23. Arthur Baragar
24. Burcu Baran
25. Ed Barbeau
    • Pell's Equation, E. Barbeau, Problem Books in Mathematics, Springer 2003
26. Gintautas Bareikis
27. Rupam Barman
28. Thomas Barnet-Lamb
    • On Potential Automorphy, and other topics in Number Theory, PhD thesis, Thomas Barnet-Lamb, Harvard University 2009
29. Francesc Bars
    • On the Tamagawa number conjecture, PhD thesis, Francesc Bars, Universitat Autonòma de Barcelona 2001
30. Alex Bartel
31. Krystyna Bartz
32. Nayandeep Deka Baruah
33. Ehud Moshe Baruch
34. Paul Bateman
    • Analytic Number Theory, An Introductory Course, Paul Bateman & Harold Diamond, World Scientific, September 2004
35. Claus Bauer
36. Mark Bauer
37. Peter Bauer
    • Zur Verteilung der Nullstellen der Dirichletschen L-Reihen, Dissertation, Peter Bauer, Frankfürt am Main, 1997
38. Christoph Baxa
39. Abdelmejid Bayad
40. Eva Bayer-Fluckiger
41. Jonathan Bayless
42. Carter Bays
43. András Bazsó
44. Danilo Bazzanella
45. József Beck
    • Irregularities of Distribution, W. Chen, J. Beck, Cambridge Tract 89, CUP 1987
46. Matthias Beck
47. Jennifer Beineke
48. Karim Belabas
    • Le Théorème de Fermat (Karim Belabas and Catherine Goldstein)
49. Juliana Belding
    • Number theoretic algorithms for elliptic curves, PhD thesis, Juliana Belding, University of Maryland, College Park, 2008
50. Constantin-Nicolae Beli
51. Jason Bell
52. Joël Bellaïche
53. Robert Benedetto
54. Stan Benkoski
55. Mike Bennett
56. Attila Bérczes
57. Daniel Berend
58. Victor Beresnevich
59. Michael Berg
    • The Fourier-Analytic Proof of Quadratic Reciprocity, M.C. Berg, Wiley 2000
60. Anne-Marie Bergé died on September 20th, 2008
61. 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
62. Lisa Berger
63. Tobias Berger
64. 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
65. Julien Bernat
66. 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
67. Rolf Berndt
68. Vasily Bernik
    • Metric Diophantine Approximation on Manifolds, V.I. Bernik, M.M. Dodson, CUP 1999
69. Dan Bernstein
    • 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)
70. Pedro Berrizbeitia
    • Algoritmos deterministas de primalidad, Pedro Berrizbeitia, 2004
71. Thomas Berry
72. Pierre Berthelot
    • Geometric Aspects of Dwork Theory, Ed. Alan Adolphson, Francesco Baldassarri, Pierre Berthelot, Nicholas Katz, Francois Loeser, Volumes I, II, de Gruyter 2004
73. Marie-José Bertin
74. Cristiana Bertolin
75. Daniel Bertrand
76. Amnon Besser
77. Sandro Bettin
78. Frits Beukers
    • The generalized Fermat equation (Frits Beukers)
    • The ABC-conjecture, Frits Beukers, ABC-day, Leiden, September 9, 2005 (fritsABCpresentation.pdf)
    • The Riemann zetafunction and its relatives (Frits Beukers)
    • Getaltheorie voor beginners, F. Beukers, Epsilon Uitgaven, Utrecht 1999
79. Jean-Paul Bezivin
80. Manjul Bhargava
    • The first Ramanujan colloquium, Manjul Bhargava, Sums of squares and the "290" theorem
81. 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
82. Jean-François Biasse
83. Mehpare Bilhan
84. Nicolas Billerey
85. Yuri Bilu
    • Papers on Catalan's conjecture by Yuri Bilu
86. Bryan Birch
87. Peter Birkner
88. András Birò
89. Guido Blady
    • Die Weil-Restriktionen elliptischer Kurven in der Kryptographie , Diplomarbeit, Guido Blady, Essen 2002
90. Don Blasius
91. Richard Blecksmith
92. Werner Bley
93. 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
94. Jonathan Bober
    • Slide talk - New computations of the Riemann zeta function, Jonathan Bober (joint work with Ghaith Hiary)
95. Florin Boca
96. 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
97. Gebhard Böckle
    • Elliptic Curves, Hilbert Modular Forms and Galois Deformations, L. Berger, G. Böckle, L. Dembélé, M. Dimitrov, T. Dokchitser, J. Voight, Birkhäuser, 2013
    • Cohomological Theory of Crystals over Function Fields, Gebhard Böckle and Richard Pink, EMS Tracts in Mathematics Vol. 9, 2009
98. Arnaud Bodin
99. 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
100. Nicolae Bonciocat
101. Andrew Booker
     • 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)
102. Guillaume Bordes
103. James Borger
104. Alexander Borisov
105. Itshak Borosh
106. Jonathan Borwein
     • Books on Experimental Mathematics (David Bailey and Jonathan Borwein)
     • Pi: A Source Book, L. Berggren, J. Borwein, P. Borwein, Springer-Verlag 1997
107. 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
108. 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
109. 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
110. Alin Bostan
111. Nigel Boston
112. Jean Bourgain
113. Thanasis Bouganis
114. Irene Bouw
115. Douglas Bowman
116. John Boxall
117. David Boyd
     • Ergodic theory, Karma Dajani, Cor Kraaikamp, MAA Carus Monograph 29, 2002 (reviewed by David Boyd)
118. Pascal Boyer
     • Cours d'arithmétique, notes by Pascal Boyer
119. Matt Boylan
120. David Bradley
121. Miljan Brakočević
122. Andrew Bremner
123. Eliot Brenner
124. Barry Brent
125. Richard Brent
     • Modern Computer Arithmetic, Richard Brent and Paul Zimmermann, Cambridge University Press, 2010
     • Factorization of F10
126. David Bressoud
     • A Course in Computational Number Theory, D. Bressoud, S. Wagon, Springer 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
127. Florian Breuer
     • On the André-Oort conjecture and Drinfeld modular curves, PhD thesis, Florian Breuer, Université Denis Diderot (Paris 7), 2003
128. Christophe Breuil
     • Representations p-adiques de Groupes p-adiques I: Representations Galoisiennes et (, Γ)-Modules, Edited by: Laurent Berger, Christophe Breuil, Pierre Colmez, Astérisque 319, 2008
129. Manuel Breuning
130. 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)
131. Martin Bright
     • Computations on Diagonal Quartic Surfaces, PhD thesis, Martin Bright, Cambridge 2003
132. John Brillhart
     • Elliptic polynomials, J.S. Lomont, J. Brillhart, CRC Press 2000
     • Factorizations of bⁿ±1, b= 2, 3, 5, 6, 7, 10, 11, 12 up to high powers (third edition) John Brillhart, D. H. Lehmer, J. L. Selfridge, Bryant Tuckerman, and S. S. Wagstaff, Jr. Contemporary Mathematics 22, AMS 1988
133. Kathrin Bringmann
     • Applications of Poincare series on Jacobi groups Ph.D. Thesis, Kathrin Bringmann, University of Heidelberg, 2004
134. Nicolas Brisebarre
135. David Broadhurst
136. Reinier Bröker
     • Constructing elliptic curves of prescribed order, PhD thesis, Reinier Bröker, Leiden University, 2006
137. Kevin Broughan
     • GL(n)pack Home Page (Kevin Broughan)
138. David Brown
139. Ezra Brown
     • Biscuits of Number Theory, Ed. Ezra Brown, Arthur Benjamin, MAA, 2009
     • Three Connections to Continued Fractions, Ezra Brown
140. Jim Brown
141. Peter Brown
142. 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
143. Dale Brownawell
144. 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
     • Dedekind zeta function, notes by Ben Brubaker
145. Paul Bruckman (email: potzrebie@nietzsche.net)
146. Jörg Brüdern
147. Roelof Bruggeman
     • 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
148. Nils Bruin
     • 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
149. Jan Bruinier
     • 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)
150. Farrell Brumley
     • The role of the Ramanujan conjecture in analytic number theory, Valentin Blomer and Farrell Brumley, Bull. Amer. Math. Soc. January 2013
151. François Brunault
     • Étude de la valeur en s=2 de la fonction L d'une courbe elliptique, PhD thesis, François Brunault, Universitél Paris 7 Denis-Diderot, 2005
152. Carmen Bruni
153. Juliusz Brzezinski
154. Ralph Buchholz
155. 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
156. Paul Buckingham
     • The canonical fractional Galois ideal at s=0, PhD thesis, Paul Buckingham, Universtiy of Sheffield, 2008
157. Alina Ioana Bucur
158. Natalia Viktorovna Budarina
159. Mark Budden
160. 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)
161. Yann Bugeaud
     • Distribution Modulo One and Diophantine Approximation, Yann Bugeaud, Cambridge Tract 193, 2012
     • 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
162. 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
163. Hung Manh Bui
164. Alexandru Buium
     • Arithmetic Differential Equations, Alexandru Buium, AMS Mathematical Surveys and Monographs 118 2005
165. 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)
166. Richard Bumby
167. 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
168. Peter Bundschuh
     • Einführung in die Zahlentheorie, Springer Lehrbuch 1992
169. 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
170. Jean-François Burnol
171. David Burns
     • 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
172. Ashay Burungale
173. Michael Bush
     • p-class towers of imaginary quadratic fields, Ph.D. Michael Bush, University of Illinois at Urbana-Champaign, 2004
174. Colin Bushnell
     • The Local Langlands Conjecture for GL(2), Colin Bushnell, Guy Henniart, Grundlehren der mathematischen Wissenschaften, 335, Springer 2006
175. Yvonne Buttkewitz
176. Kazim Buyukboduk
177. 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
178. DongHo Byeon
179. Nigel Byott

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Last modified 13th April 2013