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Zagier, Don Bernard

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Author ID: zagier.don-bernard Recent zbMATH articles by "Zagier, Don Bernard"
Published as: Zagier, D.; Zagier, Don; Zagier, Don B.; Zagier, Don Bernard
Homepage: http://www.hcm.uni-bonn.de/people/profile/don-bernard-zagier/
External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND
Documents Indexed: 180 Publications since 1972, including 13 Books
Reviewing Activity: 4 Reviews
Biographic References: 2 Publications
all top 5

Co-Authors

77 single-authored
6 Gross, Benedict Hyman
6 Neumann, Walter David
5 Cohen, Henri
5 Lewis, John B.
4 Gunnells, Paul E.
4 Kaneko, Masanobu
4 Lenstra, Hendrik W. jun.
4 Rodriguez-Villegas, Fernando
4 Sikora, Adam S.
4 Yang, Di
3 Belabas, Karim
3 Dubrovin, Boris Anatol’evich
3 Hirzebruch, Friedrich
3 Kohnen, Winfried
3 Möller, Martin
3 Weng, Lin
2 Borho, Walter
2 Bruggeman, Roelof Wichert
2 Chen, Dawei
2 Choie, YoungJu
2 Eichler, Martin
2 Fridkin, V. M.
2 Gangl, Herbert
2 Golyshev, Vasily V.
2 Jantzen, Jens Carsten
2 Kraft, Hanspeter
2 Manin, Yuri Ivanovich
2 Popa, Alexandru A.
2 Rohlfs, Jürgen
2 Serre, Jean-Pierre
2 Skoruppa, Nils-Peter
2 Stroganov, Yuri
2 Van der Geer, Gerard
2 Yui, Noriko
1 Alexander, James Crew
1 Atiyah, Michael Francis
1 Ballmann, Hans Werner
1 Beukers, Frits
1 Blohmann, Christian
1 Bruinier, Jan Hendrik
1 Buhler, Joe P.
1 Connes, Alain
1 de Jeu, Rob
1 Dimofte, Tudor Dan
1 Dokchitser, Tim
1 Faltings, Gerd
1 Göttsche, Lothar
1 Griffin, Michael J.
1 Gukov, Sergei
1 Gupta, Sounak
1 Hall, Richard R.
1 Harder, Günter
1 Harer, John L.
1 Ihara, Kentaro
1 Jacquet, Hervé Michel
1 Kaufmann, Ralph M.
1 Kleban, Peter
1 Kontsevich, Maxim Lvovich
1 Kramarz, Gerhard
1 Lagarias, Jeffrey C.
1 Lawrence, Ruth J.
1 Lenells, Jonatan
1 Lewin, Leonard
1 Libgober, Anatoly S.
1 Malter, Aimeric
1 Mestre, Jean-François
1 Odlyzko, Andrew M.
1 Ohno, Yasuo
1 Ono, Ken
1 Park, Yoon Kyung
1 Poonen, Bjorn
1 Roland, Gérard
1 Rolen, Larry
1 Sasamoto, Tomohiro
1 Sauvaget, Adrien
1 Schleicher, Dierk
1 Schoof, René
1 Stark, Harold M.
1 Sun, Zhi-Wei
1 Suter, S. K.
1 Szmidt, Janusz
1 Teichner, Peter
1 Thas, Koen
1 Tretkoff, Paula
1 Urbanowicz, Jerzy
1 van Straten, Duco
1 Vlasenko, Maria
1 Voloch, José Felipe
1 Washington, Lawrence C.
1 Wilson, Jack Charles
1 Wimmer-Zagier, Silke
1 Wirsing, Eduard A.
1 Wood, John W.
1 Zerbini, Federico
1 Zhang, Youjin
1 Zinger, Aleksey
all top 5

Serials

10 Inventiones Mathematicae
9 Oberwolfach Reports
7 Mathematics of Computation
6 Mathematische Annalen
5 American Mathematical Monthly
5 Acta Arithmetica
4 Journal für die Reine und Angewandte Mathematik
3 Communications in Mathematical Physics
3 Compositio Mathematica
3 Topology
3 Proceedings of the National Academy of Sciences of the United States of America
3 Nieuw Archief voor Wiskunde. Vierde Serie
3 Experimental Mathematics
3 Lecture Notes in Mathematics
2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
2 Journal of Statistical Physics
2 Journal of Geometry and Physics
2 Journal of Number Theory
2 L’Enseignement Mathématique. 2e Série
2 Journal of Physics A: Mathematical and General
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Notices of the American Mathematical Society
2 Selecta Mathematica. New Series
2 Annals of Mathematics. Second Series
2 Journal of the European Mathematical Society (JEMS)
2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
2 Progress in Mathematics
2 Communications in Number Theory and Physics
1 Bulletin of the Australian Mathematical Society
1 Journal of Mathematical and Physical Sciences
1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV)
1 Uspekhi Matematicheskikh Nauk [N. S.]
1 Mathematics Magazine
1 The Mathematical Intelligencer
1 Canadian Mathematical Bulletin
1 Journal of Differential Geometry
1 Journal of the Faculty of Science. Section I A
1 The Journal of the Indian Mathematical Society. New Series
1 Journal of the London Mathematical Society. Second Series
1 Journal of Mathematical Economics
1 Memoirs of the American Mathematical Society
1 Proceedings of the American Mathematical Society
1 The Quarterly Journal of Mathematics. Oxford Second Series
1 Transactions of the American Mathematical Society
1 Journal of the American Mathematical Society
1 Mémoires de la Société Mathématique de France. Nouvelle Série
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Computer Networks and ISDN Systems
1 Indagationes Mathematicae. New Series
1 Mathematical Research Letters
1 Izvestiya: Mathematics
1 The Ramanujan Journal
1 The Asian Journal of Mathematics
1 Moscow Mathematical Journal
1 Pure and Applied Mathematics Quarterly
1 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae
1 Annales Mathématiques du Québec
1 Research in the Mathematical Sciences
1 Universitext

Publications by Year

Citations contained in zbMATH

147 Publications have been cited 4,890 times in 3,481 Documents Cited by Year
The theory of Jacobi forms. Zbl 0554.10018
Eichler, Martin; Zagier, Don
530
1985
Heegner points and derivatives of \(L\)-series. Zbl 0608.14019
Gross, Benedict H.; Zagier, Don B.
287
1986
Values of zeta functions and their applications. Zbl 0822.11001
Zagier, Don
181
1994
The Euler characteristic of the moduli space of curves. Zbl 0616.14017
Harer, J.; Zagier, Don
177
1986
Derivation and double shuffle relations for multiple zeta values. Zbl 1186.11053
Ihara, Kentaro; Kaneko, Masanobu; Zagier, Don
139
2006
Heegner points and derivatives of \(L\)-series. II. Zbl 0641.14013
Gross, B.; Kohnen, W.; Zagier, Don
135
1987
Volumes of hyperbolic three-manifolds. Zbl 0589.57015
Neumann, Walter D.; Zagier, Don
128
1985
Values of L-series of modular forms at the center of the critical strip. Zbl 0468.10015
Kohnen, W.; Zagier, Don
124
1981
Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus. Zbl 0332.14009
Hirzebruch, Friedrich; Zagier, Don
112
1976
Ramanujan’s mock theta functions and their applications (after Zwegers and Ono-Bringmann). Zbl 1198.11046
Zagier, Don
103
2009
A generalized Jacobi theta function and quasimodular forms. Zbl 0892.11015
Kaneko, Masanobu; Zagier, Don
98
1995
The Atiyah-Singer theorem and elementary number theory. Zbl 0288.10001
Hirzebruch, Friedrich; Zagier, Don
96
1974
Elliptic modular forms and their applications. Zbl 1259.11042
Zagier, Don
92
2008
Periods. Zbl 1039.11002
Kontsevich, Maxim; Zagier, Don
89
2001
Vassiliev invariants and a strange identity related to the Dedekind eta-function. Zbl 0989.57009
Zagier, Don
88
2001
Modular forms and differential operators. Zbl 0806.11022
Zagier, Don
76
1994
Modular forms with rational periods. Zbl 0618.10019
Kohnen, W.; Zagier, Don
74
1984
Traces of singular moduli. Zbl 1048.11035
Zagier, Don
72
2002
Quantum modular forms. Zbl 1294.11084
Zagier, Don
71
2010
On singular moduli. Zbl 0545.10015
Gross, Benedict H.; Zagier, Don B.
71
1985
The 1-2-3 of modular forms. Lectures at a summer school in Nordfjordeid, Norway, June 2004. Zbl 1197.11047
Bruinier, Jan Hendrik; van der Geer, Gerard; Harder, Günter; Zagier, Don
70
2008
Jacobi forms and a certain space of modular forms. Zbl 0651.10020
Skoruppa, Nils-Peter; Zagier, Don
65
1988
The Rankin-Selberg method for automorphic functions which are not of rapid decay. Zbl 0505.10011
Zagier, Don
64
1981
Zeta-functions and quadratic fields. An introduction into higher number theory. Zbl 0459.10001
Zagier, Don B.
64
1981
The dilogarithm function. Zbl 1176.11026
Zagier, Don
63
2007
Modular forms and quantum invariants of \(3\)-manifolds. Zbl 1024.11028
Lawrence, Ruth; Zagier, Don
60
1999
Modular forms whose Fourier coefficients involve zeta-functions of quadratic fields. Zbl 0372.10017
Zagier, Don
60
1977
Exact results for perturbative Chern-Simons theory with complex gauge group. Zbl 1214.81151
Dimofte, Tudor; Gukov, Sergei; Lenells, Jonatan; Zagier, Don
58
2009
Double zeta values and modular forms. Zbl 1122.11057
Gangl, Herbert; Kaneko, Masanobu; Zagier, Don
58
2006
Periods of modular forms and Jacobi theta functions. Zbl 0742.11029
Zagier, Don
58
1991
Automorphic pseudodifferential operators. Zbl 1055.11514
Cohen, Paula Beazley; Manin, Yuri; Zagier, Don
56
1997
Higher dimensional Dedekind sums. Zbl 0237.10025
Zagier, Don
54
1973
Evaluation of the multiple zeta values \(\zeta(2,\ldots,2,3,2,\ldots,2)\). Zbl 1268.11121
Zagier, Don
53
2012
Modular forms associated to real quadratic fields. Zbl 0308.10014
Zagier, Don
53
1975
Supersingular \(j\)-invariants, hypergeometric series and Atkin’s orthogonal polynomials. Zbl 0955.11018
Kaneko, M.; Zagier, D.
52
1998
Period functions for Maass wave forms. I. Zbl 1061.11021
Lewis, J.; Zagier, D.
51
2001
Nombres de classes et formes modulaires de poids 3/2. Zbl 0323.10021
Zagier, Don
43
1975
The Bloch-Wigner-Ramakrishnan polylogarithm function. Zbl 0698.33001
Zagier, Don
42
1990
Multiple zeta values of fixed weight, depth, and height. Zbl 1031.11053
Ohno, Yasuo; Zagier, Don
40
2001
A Kronecker limit formula for real quadratic fields. Zbl 0283.12004
Zagier, Don
37
1975
Jacobi forms and the structure of Donaldson invariants for 4-manifolds with \(b_+=1\). Zbl 0924.57025
Göttsche, Lothar; Zagier, Don
29
1998
Integral solutions of Apéry-like recurrence equations. Zbl 1244.11042
Zagier, Don
28
2009
Introduction to modular forms. Zbl 0791.11022
Zagier, Don
28
1992
Modular parametrizations of elliptic curves. Zbl 0579.14027
Zagier, Don
28
1985
On the values at negative integers of the zeta-function of a real quadratic field. Zbl 0334.12021
Zagier, Don
28
1976
Equivariant Pontrjagin classes and applications to orbit spaces. Applications of the G-signature theorem to transformation groups, symmetric products and number theory. Zbl 0238.57013
Zagier, Don Bernard
27
1972
Polylogarithms, Dedekind zeta functions, and the algebraic K-theory of fields. Zbl 0728.11062
Zagier, Don
26
1991
A trace formula for Jacobi forms. Zbl 0651.10019
Skoruppa, Nils-Peter; Zagier, Don
25
1989
Elementary aspects of the Verlinde formula and of the Harder-Narasimhan-Atiyah-Bott formula. Zbl 0854.14020
Zagier, Don
23
1996
Rational period functions for \(\text{PSL}(2,\mathbb Z)\). Zbl 0790.11044
Choie, YoungJu; Zagier, Don
23
1993
The entropy of a certain infinitely convolved Bernoulli measure. Zbl 0691.58024
Alexander, J. C.; Zagier, Don
23
1991
Valeurs des fonctions zeta des corps quadratiques réels aux entiers négatifs. Zbl 0359.12012
Zagier, Don
23
1977
Classification of Hilbert modular surfaces. Zbl 0354.14011
Hirzebruch, Friedrich; Zagier, Don
23
1977
Realizability of a model in infinite statistics. Zbl 0789.47042
Zagier, Don
21
1992
Higher Weil-Petersson volumes of moduli spaces of stable \(n\)-pointed curves. Zbl 0890.14011
Kaufmann, R.; Manin, Yu.; Zagier, D.
20
1996
On the number of Markoff numbers below a given bound. Zbl 0501.10015
Zagier, Don
20
1982
Classical and elliptic polylogarithms and special values of \(L\)-series. Zbl 0990.11041
Zagier, Don; Gangl, Herbert
19
2000
Large integral points on elliptic curves. Zbl 0611.10008
Zagier, Don
19
1987
Hyperbolic manifolds and special values of Dedekind zeta-functions. Zbl 0591.12014
Zagier, Don
19
1986
The Hilbert modular group for the field \(\mathbb Q(\sqrt{13})\). Zbl 0366.10024
van der Geer, G.; Zagier, Don
19
1977
On the distribution of the number of cycles of elements in symmetric groups. Zbl 0854.05008
Zagier, Don
18
1995
On the conjecture of Birch and Swinnerton-Dyer for an elliptic curve of \(rank\quad 3\). Zbl 0606.14021
Buhler, Joe P.; Gross, Benedict H.; Zagier, Don B.
18
1985
Crossing probabilities and modular forms. Zbl 1081.60067
Kleban, Peter; Zagier, Don
17
2003
Convergence acceleration of alternating series. Zbl 0972.11115
Cohen, Henri; Rodriguez Villegas, Fernando; Zagier, Don
17
2000
On the singular values of Weber modular functions. Zbl 0892.11022
Yui, Noriko; Zagier, Don
17
1997
Numerical investigations related to the \(L\)-series of certain elliptic curves. Zbl 0688.14016
Zagier, Don; Kramarz, G.
16
1987
Sur la conjecture de Saito-Kurokawa (d’après H. Maass). Zbl 0456.10011
Zagier, Don
16
1981
Newman’s short proof of the prime number theorem. Zbl 0887.11039
Zagier, D.
15
1997
Nombres de classes et fractions continues. Zbl 0309.12002
Zagier, Don
15
1975
A proof of the Kac-Wakimoto affine denominator formula for the strange series. Zbl 1125.11319
Zagier, Don
14
2000
Heegner points and derivatives of \(L\)-functions. Zbl 0538.14023
Gross, Benedict; Zagier, Don
14
1983
Period functions and the Selberg zeta function for the modular group. Zbl 1058.11544
Lewis, J.; Zagier, D.
13
1997
Algebraic numbers close to both 0 and 1. Zbl 0786.11063
Zagier, Don
13
1993
Eisenstein series and the Riemann zeta-function. Zbl 0484.10019
Zagier, Don
13
1981
Period functions for Maass wave forms and cohomology. Zbl 1396.11072
Bruggeman, R.; Lewis, J.; Zagier, D.
12
2015
On the cohomology of moduli spaces of rank two vector bundles over curves. Zbl 0845.14016
Zagier, Don
12
1995
Partitions, quasimodular forms, and the Bloch-Okounkov theorem. Zbl 1352.05021
Zagier, Don
11
2016
Some properties of hypergeometric series associated with mirror symmetry. Zbl 1177.33027
Zagier, Don; Zinger, Aleksey
11
2008
Reciprocity formulae for general Dedekind-Rademacher sums. Zbl 0847.11020
Hall, R. R.; Wilson, J. C.; Zagier, D.
11
1995
Square roots of central values of Hecke \(L\)-series. Zbl 0791.11060
Rodriguez Villegas, Fernando; Zagier, Don
11
1993
A one-sentence proof that every prime \(p\equiv 1\pmod 4\) is a sum of two squares. Zbl 0735.11014
Zagier, Don
11
1990
Note on the Landweber-Stong elliptic genus. Zbl 0653.57016
Zagier, Don
11
1988
Quasimodularity and large genus limits of Siegel-Veech constants. Zbl 1404.32025
Chen, Dawei; Möller, Martin; Zagier, Don
10
2018
Finite projective planes, Fermat curves, and Gaussian periods. Zbl 1329.51004
Thas, Koen; Zagier, Don
10
2008
Congruence among generalized Bernoulli numbers. Zbl 0829.11011
Szmidt, Janusz; Urbanowicz, Jerzy; Zagier, Don
10
1995
The remarkable dilogarithm. Zbl 0669.33001
Zagier, Don
10
1988
Hecke operators and periods of modular forms. Zbl 0712.11033
Zagier, Don
9
1990
Jensen polynomials for the Riemann zeta function and other sequences. Zbl 1431.11105
Griffin, Michael; Ono, Ken; Rolen, Larry; Zagier, Don
8
2019
The dilogarithm function in geometry and number theory. Zbl 0744.33011
Zagier, Don
8
1989
On the zeros of the Weierstrass \(\wp\)-function. Zbl 0491.33004
Eichler, Martin; Zagier, Don
8
1982
The first 50 million prime numbers. Zbl 0392.10001
Zagier, Don
8
1977
Ground state of the quantum symmetric finite-size \(XXZ\) spin chain with anisotropy parameter \(\Delta=\frac 12\). Zbl 0956.82004
Fridkin, V.; Stroganov, Yu.; Zagier, D.
7
2000
Modular points, modular curves, modular surfaces and modular forms. Zbl 0594.14022
Zagier, Don
7
1985
A parametric family of quintic polynomials with Galois group \(D_ 5\). Zbl 0506.12011
Roland, G.; Yui, N.; Zagier, Don
7
1982
On the critical values of Hecke \(L\)-series. Zbl 0462.14015
Gross, Benedict H.; Zagier, Don
7
1980
A property of L-functions on the real line. Zbl 0428.10021
Stark, H. M.; Zagier, Don
7
1980
Periods of modular forms on \(\Gamma_0(N)\) and products of Jacobi theta functions. Zbl 07058151
Choie, Youngju; Park, Yoon Kyung; Zagier, Don B.
6
2019
Modular embeddings of Teichmüller curves. Zbl 1386.14118
Möller, Martin; Zagier, Don
6
2016
Eisenstein series and the Selberg trace formula. II. Zbl 0625.10024
Jacquet, H.; Zagier, Don
6
1987
Vanishing and non-vanishing theta values. Zbl 1329.11031
Cohen, Henri; Zagier, Don
5
2013
Masur-Veech volumes and intersection theory on moduli spaces of abelian differentials. Zbl 1446.14015
Chen, Dawei; Möller, Martin; Sauvaget, Adrien; Zagier, Don
3
2020
Genus-zero and genus-one string amplitudes and special multiple zeta values. Zbl 1447.11097
Zagier, Don; Zerbini, Federico
3
2020
Gromov-Witten invariants of the Riemann sphere. Zbl 1453.14133
Dubrovin, Boris; Yang, Di; Zagier, Don
3
2020
Jensen polynomials for the Riemann zeta function and other sequences. Zbl 1431.11105
Griffin, Michael; Ono, Ken; Rolen, Larry; Zagier, Don
8
2019
Periods of modular forms on \(\Gamma_0(N)\) and products of Jacobi theta functions. Zbl 07058151
Choie, Youngju; Park, Yoon Kyung; Zagier, Don B.
6
2019
Cotangent sums, quantum modular forms, and the generalized Riemann hypothesis. Zbl 07096501
Lewis, John; Zagier, Don
1
2019
Quasimodularity and large genus limits of Siegel-Veech constants. Zbl 1404.32025
Chen, Dawei; Möller, Martin; Zagier, Don
10
2018
The arithmetic and topology of differential equations. Zbl 06979410
Zagier, Don B.
2
2018
Classical Hurwitz numbers and related combinatorics. Zbl 1411.14059
Dubrovin, Boris; Yang, Di; Zagier, Don
4
2017
A combinatorial refinement of the Kronecker-Hurwitz class number relation. Zbl 1367.11044
Popa, Alexandru A.; Zagier, Don
2
2017
Partitions, quasimodular forms, and the Bloch-Okounkov theorem. Zbl 1352.05021
Zagier, Don
11
2016
Modular embeddings of Teichmüller curves. Zbl 1386.14118
Möller, Martin; Zagier, Don
6
2016
Proof of the gamma conjecture for Fano 3-folds of Picard rank 1. Zbl 1369.14054
Golyshev, V. V.; Zagier, D.
4
2016
Period functions for Maass wave forms and cohomology. Zbl 1396.11072
Bruggeman, R.; Lewis, J.; Zagier, D.
12
2015
Life and work of Friedrich Hirzebruch. Zbl 1323.01028
Zagier, Don
3
2015
Friedrich Hirzebruch (1927–2012). Zbl 1338.01024
Atiyah, Michael (ed.); Zagier, Don (ed.)
2
2014
Lines on the Dwork quintic pencil and its higher degree analogues. Zbl 1328.14069
Zagier, Don
2
2014
Vanishing and non-vanishing theta values. Zbl 1329.11031
Cohen, Henri; Zagier, Don
5
2013
Function theory related to the group \(\mathrm{PSL}_2(\mathbb R)\). Zbl 1263.22007
Bruggeman, R.; Lewis, J.; Zagier, D.
4
2013
Higher Kronecker “limit” formulas for real quadratic fields. Zbl 1276.11183
Vlasenko, Maria; Zagier, Don
3
2013
Evaluation of the multiple zeta values \(\zeta(2,\ldots,2,3,2,\ldots,2)\). Zbl 1268.11121
Zagier, Don
53
2012
Low-dimensional topology and number theory. Abstracts from the workshop held August 26 – September 1, 2012. Zbl 1349.00177
Gunnells, Paul E. (ed.); Neumann, Walter D. (ed.); Sikora, Adam S. (ed.); Zagier, Don B. (ed.)
1
2012
On a curious property of Bell numbers. Zbl 1257.11024
Sun, Zhiwei; Zagier, Don
5
2011
Quantum modular forms. Zbl 1294.11084
Zagier, Don
71
2010
Low-dimensional topology and number theory. Abstracts from the workshop held August 15th – August 21st, 2010. Zbl 1209.00056
Gunnells, Paul E. (ed.); Neumann, Walter D. (ed.); Sikora, Adam S. (ed.); Zagier, Don (ed.)
1
2010
Ramanujan’s mock theta functions and their applications (after Zwegers and Ono-Bringmann). Zbl 1198.11046
Zagier, Don
103
2009
Exact results for perturbative Chern-Simons theory with complex gauge group. Zbl 1214.81151
Dimofte, Tudor; Gukov, Sergei; Lenells, Jonatan; Zagier, Don
58
2009
Integral solutions of Apéry-like recurrence equations. Zbl 1244.11042
Zagier, Don
28
2009
Elliptic modular forms and their applications. Zbl 1259.11042
Zagier, Don
92
2008
The 1-2-3 of modular forms. Lectures at a summer school in Nordfjordeid, Norway, June 2004. Zbl 1197.11047
Bruinier, Jan Hendrik; van der Geer, Gerard; Harder, Günter; Zagier, Don
70
2008
Some properties of hypergeometric series associated with mirror symmetry. Zbl 1177.33027
Zagier, Don; Zinger, Aleksey
11
2008
Finite projective planes, Fermat curves, and Gaussian periods. Zbl 1329.51004
Thas, Koen; Zagier, Don
10
2008
The dilogarithm function. Zbl 1176.11026
Zagier, Don
63
2007
A property of parallelograms inscribed in ellipses. Zbl 1140.51010
Connes, Alain; Zagier, Don
4
2007
Explicit methods in number theory. Abstracts from the workshop held July 15–21, 2007. Zbl 1177.11004
Cohen, Henri (ed.); Lenstra, Hendrik W. jun. (ed.); Zagier, Don (ed.)
2
2007
Derivation and double shuffle relations for multiple zeta values. Zbl 1186.11053
Ihara, Kentaro; Kaneko, Masanobu; Zagier, Don
139
2006
Double zeta values and modular forms. Zbl 1122.11057
Gangl, Herbert; Kaneko, Masanobu; Zagier, Don
58
2006
Numerical verification of Beilinson’s conjecture for \(K_2\) of hyperelliptic curves. Zbl 1186.11037
Dokchitser, Tim; de Jeu, Rob; Zagier, Don
5
2006
Crossing probabilities and modular forms. Zbl 1081.60067
Kleban, Peter; Zagier, Don
17
2003
Traces of singular moduli. Zbl 1048.11035
Zagier, Don
72
2002
Periods. Zbl 1039.11002
Kontsevich, Maxim; Zagier, Don
89
2001
Vassiliev invariants and a strange identity related to the Dedekind eta-function. Zbl 0989.57009
Zagier, Don
88
2001
Period functions for Maass wave forms. I. Zbl 1061.11021
Lewis, J.; Zagier, D.
51
2001
Multiple zeta values of fixed weight, depth, and height. Zbl 1031.11053
Ohno, Yasuo; Zagier, Don
40
2001
Multiplicative functions with difference tending to zero. Zbl 0983.11057
Wirsing, Eduard; Zagier, Don
5
2001
Finite size \(XXZ\) spin chain with anisotropy parameter \(\Delta=\frac 12\). Zbl 0999.82027
Fridkin, V.; Stroganov, Yu.; Zagier, D.
5
2001
Constructions of plane curves with many points. Zbl 1042.11039
Rodríguez Villegas, F.; Voloch, J. F.; Zagier, D.
4
2001
On the existence of a phase transition for an exclusion process on a ring. Zbl 1059.82016
Sasamoto, T.; Zagier, D.
1
2001
Classical and elliptic polylogarithms and special values of \(L\)-series. Zbl 0990.11041
Zagier, Don; Gangl, Herbert
19
2000
Convergence acceleration of alternating series. Zbl 0972.11115
Cohen, Henri; Rodriguez Villegas, Fernando; Zagier, Don
17
2000
A proof of the Kac-Wakimoto affine denominator formula for the strange series. Zbl 1125.11319
Zagier, Don
14
2000
Ground state of the quantum symmetric finite-size \(XXZ\) spin chain with anisotropy parameter \(\Delta=\frac 12\). Zbl 0956.82004
Fridkin, V.; Stroganov, Yu.; Zagier, D.
7
2000
Some surprising congruences of the cohomology of \(\text{SL}_2(\mathbb Z)\). Zbl 1055.11036
Zagier, Don
2
2000
Modular forms and quantum invariants of \(3\)-manifolds. Zbl 1024.11028
Lawrence, Ruth; Zagier, Don
60
1999
From quadratic functions to modular functions. Zbl 0959.11016
Zagier, D.
4
1999
Supersingular \(j\)-invariants, hypergeometric series and Atkin’s orthogonal polynomials. Zbl 0955.11018
Kaneko, M.; Zagier, D.
52
1998
Jacobi forms and the structure of Donaldson invariants for 4-manifolds with \(b_+=1\). Zbl 0924.57025
Göttsche, Lothar; Zagier, Don
29
1998
A modified Bernoulli number. Zbl 0964.11015
Zagier, D.
5
1998
A modular identity arising from mirror symmetry. Zbl 1052.11505
Zagier, Don
1
1998
Automorphic pseudodifferential operators. Zbl 1055.11514
Cohen, Paula Beazley; Manin, Yuri; Zagier, Don
56
1997
On the singular values of Weber modular functions. Zbl 0892.11022
Yui, Noriko; Zagier, Don
17
1997
Newman’s short proof of the prime number theorem. Zbl 0887.11039
Zagier, D.
15
1997
Period functions and the Selberg zeta function for the modular group. Zbl 1058.11544
Lewis, J.; Zagier, D.
13
1997
Lower bounds of heights of points on hypersurfaces. Zbl 0869.11054
Beukers, Frits; Zagier, Don
2
1997
Elementary aspects of the Verlinde formula and of the Harder-Narasimhan-Atiyah-Bott formula. Zbl 0854.14020
Zagier, Don
23
1996
Higher Weil-Petersson volumes of moduli spaces of stable \(n\)-pointed curves. Zbl 0890.14011
Kaufmann, R.; Manin, Yu.; Zagier, D.
20
1996
A generalized Jacobi theta function and quasimodular forms. Zbl 0892.11015
Kaneko, Masanobu; Zagier, Don
98
1995
On the distribution of the number of cycles of elements in symmetric groups. Zbl 0854.05008
Zagier, Don
18
1995
On the cohomology of moduli spaces of rank two vector bundles over curves. Zbl 0845.14016
Zagier, Don
12
1995
Reciprocity formulae for general Dedekind-Rademacher sums. Zbl 0847.11020
Hall, R. R.; Wilson, J. C.; Zagier, D.
11
1995
Congruence among generalized Bernoulli numbers. Zbl 0829.11011
Szmidt, Janusz; Urbanowicz, Jerzy; Zagier, Don
10
1995
Which primes are sums of two cubes? Zbl 0842.11011
Rodriguez Villegas, Fernando; Zagier, Don
5
1995
Values of zeta functions and their applications. Zbl 0822.11001
Zagier, Don
181
1994
Modular forms and differential operators. Zbl 0806.11022
Zagier, Don
76
1994
Rational period functions for \(\text{PSL}(2,\mathbb Z)\). Zbl 0790.11044
Choie, YoungJu; Zagier, Don
23
1993
Algebraic numbers close to both 0 and 1. Zbl 0786.11063
Zagier, Don
13
1993
Square roots of central values of Hecke \(L\)-series. Zbl 0791.11060
Rodriguez Villegas, Fernando; Zagier, Don
11
1993
On the coefficients of the minimal polynomials of Gaussian periods. Zbl 0819.11062
Gupta, S.; Zagier, Don
3
1993
Homophonic quotients of free groups. Zbl 0818.20033
Mestre, Jean-François; Schoof, René; Washington, Lawrence; Zagier, Don
2
1993
Introduction to modular forms. Zbl 0791.11022
Zagier, Don
28
1992
Realizability of a model in infinite statistics. Zbl 0789.47042
Zagier, Don
21
1992
A sixteenth-order polylogarithm ladder. Zbl 0763.11049
Cohen, Henri; Lewin, Leonard; Zagier, Don
5
1992
Periods of modular forms and Jacobi theta functions. Zbl 0742.11029
Zagier, Don
58
1991
Polylogarithms, Dedekind zeta functions, and the algebraic K-theory of fields. Zbl 0728.11062
Zagier, Don
26
1991
The entropy of a certain infinitely convolved Bernoulli measure. Zbl 0691.58024
Alexander, J. C.; Zagier, Don
23
1991
The Birch-Swinnerton-Dyer conjecture from a naive point of view. Zbl 0751.14014
Zagier, Don
2
1991
The Bloch-Wigner-Ramakrishnan polylogarithm function. Zbl 0698.33001
Zagier, Don
42
1990
A one-sentence proof that every prime \(p\equiv 1\pmod 4\) is a sum of two squares. Zbl 0735.11014
Zagier, Don
11
1990
Hecke operators and periods of modular forms. Zbl 0712.11033
Zagier, Don
9
1990
Elliptische Kurven: Fortschritte und Anwendungen. (Elliptic curves: Progress and applications). Zbl 0708.14019
Zagier, Don
2
1990
How often should you beat your kids? Zbl 0716.90109
Zagier, Don
1
1990
A trace formula for Jacobi forms. Zbl 0651.10019
Skoruppa, Nils-Peter; Zagier, Don
25
1989
The dilogarithm function in geometry and number theory. Zbl 0744.33011
Zagier, Don
8
1989
Jacobi forms and a certain space of modular forms. Zbl 0651.10020
Skoruppa, Nils-Peter; Zagier, Don
65
1988
Note on the Landweber-Stong elliptic genus. Zbl 0653.57016
Zagier, Don
11
1988
The remarkable dilogarithm. Zbl 0669.33001
Zagier, Don
10
1988
Heegner points and derivatives of \(L\)-series. II. Zbl 0641.14013
Gross, B.; Kohnen, W.; Zagier, Don
135
1987
Large integral points on elliptic curves. Zbl 0611.10008
Zagier, Don
19
1987
Numerical investigations related to the \(L\)-series of certain elliptic curves. Zbl 0688.14016
Zagier, Don; Kramarz, G.
16
1987
Eisenstein series and the Selberg trace formula. II. Zbl 0625.10024
Jacquet, H.; Zagier, Don
6
1987
...and 47 more Documents
all top 5

Cited by 2,990 Authors

69 Bringmann, Kathrin
50 Choie, YoungJu
38 Kohnen, Winfried
36 Ono, Ken
31 Zagier, Don Bernard
27 Folsom, Amanda
26 Bruinier, Jan Hendrik
24 Rolen, Larry
22 Kim, Chang Heon
22 Lee, Minho
19 Hikami, Kazuhiro
19 Lim, Subong
18 Choi, Dohoon
18 Garoufalidis, Stavros
18 Guerzhoy, Pavel I.
18 Kane, Ben
18 Xu, Ce
16 Böcherer, Siegfried
16 Heim, Bernhard Ernst
16 Lovejoy, Jeremy
16 Masri, Riad
16 Ramakrishnan, Balakrishnan
16 Richter, Olav K.
16 Tsumura, Hirofumi
16 Zhao, Jianqiang
15 Eie, Minking
15 Ibukiyama, Tomoyoshi
15 Mizumoto, Shin-ichiro
15 Pioline, Boris
15 Raum, Martin
14 Klemm, Albrecht
14 Krieg, Aloys
14 Manschot, Jan
14 Milas, Antun
14 O’Sullivan, Cormac
14 Sahu, Brundaban
13 Brown, Francis C. S.
13 Fukuhara, Shinji
13 Gritsenko, Valeriĭ Alekseevich
13 Gukov, Sergei
13 Imamoḡlu, Özlem
13 Osburn, Robert
13 Schmidt, Ralf
13 Schwagenscheidt, Markus
13 Yang, Tonghai
12 Ahlgren, Scott D.
12 Kaneko, Masanobu
12 Kim, Byungchan
12 Kudla, Stephen S.
12 Matsumoto, Kohji
12 Murthy, Sameer
12 Poor, Cris
12 Rhoades, Robert C.
12 Tasaka, Koji
12 Williams, Brandon
12 Yuen, David S.
12 Zudilin, Wadim
11 Bayad, Abdelmejid
11 Choi, Soyoung
11 Darmon, Henri René
11 Duke, William Drexel
11 Gang, Dongmin
11 Guo, Li
11 Li, Zhonghua
11 Murty, Maruti Ram
10 Bachmann, Henrik
10 Diamantis, Nikolaos
10 Ohno, Yasuo
10 Penner, Robert C.
10 Schlotterer, Oliver
10 Skoruppa, Nils-Peter
10 Straub, Armin
10 Yang, Yifan
9 Cheng, Miranda C. N.
9 Dimofte, Tudor Dan
9 Dixit, Atul
9 Gun, Sanoli
9 Hoffman, Michael E.
9 Katsurada, Hidenori
9 Li, Yingkun
9 Liu, Kefeng
9 Manickam, Murugesan
9 Marcolli, Matilde
9 Mizuno, Yoshinori
9 Zhang, Wei
8 Alfes-Neumann, Claudia
8 Brown, Jim L.
8 D’Hoker, Eric
8 Dummigan, Neil
8 Duncan, John F. R.
8 Griffin, Michael J.
8 Hirose, Minoru
8 Huang, Minxin
8 Jeon, Daeyeol
8 Kang, Soon-Yi
8 Komori, Yasushi
8 Longo, Matteo
8 Mahlburg, Karl
8 Martin, Yves-Loïc
8 Matthes, Nils
...and 2,890 more Authors
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Cited in 321 Serials

339 Journal of Number Theory
169 Journal of High Energy Physics
143 The Ramanujan Journal
118 Mathematische Annalen
104 Proceedings of the American Mathematical Society
98 International Journal of Number Theory
94 Advances in Mathematics
88 Transactions of the American Mathematical Society
82 Inventiones Mathematicae
80 Duke Mathematical Journal
76 Communications in Mathematical Physics
68 Mathematics of Computation
66 Mathematische Zeitschrift
63 Research in the Mathematical Sciences
58 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
57 Compositio Mathematica
56 Journal de Théorie des Nombres de Bordeaux
49 Research in Number Theory
46 Journal of Mathematical Analysis and Applications
39 Manuscripta Mathematica
38 Bulletin of the American Mathematical Society. New Series
33 Journal of Geometry and Physics
32 Nuclear Physics. B
31 Annales de l’Institut Fourier
30 Proceedings of the Japan Academy. Series A
29 Journal of Algebra
29 Journal of Combinatorial Theory. Series A
26 Letters in Mathematical Physics
26 Journal für die Reine und Angewandte Mathematik
25 Archiv der Mathematik
25 Experimental Mathematics
24 Advances in Applied Mathematics
23 Nagoya Mathematical Journal
23 Geometry & Topology
22 Functiones et Approximatio. Commentarii Mathematici
22 Annals of Mathematics. Second Series
21 Bulletin of the Australian Mathematical Society
21 Topology and its Applications
21 Forum Mathematicum
18 Mathematical Proceedings of the Cambridge Philosophical Society
18 Rocky Mountain Journal of Mathematics
18 Journal of the American Mathematical Society
18 Journal of Mathematical Sciences (New York)
17 Journal of Mathematical Physics
17 Journal of Pure and Applied Algebra
17 Tohoku Mathematical Journal. Second Series
17 European Journal of Combinatorics
16 Journal of Knot Theory and its Ramifications
16 Selecta Mathematica. New Series
16 Comptes Rendus. Mathématique. Académie des Sciences, Paris
15 Israel Journal of Mathematics
15 Acta Arithmetica
14 Discrete Mathematics
14 Results in Mathematics
14 International Journal of Mathematics
14 Indagationes Mathematicae. New Series
13 Algebraic & Geometric Topology
13 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
12 Mathematika
12 Tokyo Journal of Mathematics
11 Theoretical and Mathematical Physics
11 Geometriae Dedicata
11 Journal of Soviet Mathematics
10 Publications of the Research Institute for Mathematical Sciences, Kyoto University
9 Journal of Functional Analysis
9 Monatshefte für Mathematik
9 Proceedings of the National Academy of Sciences of the United States of America
9 Annales Henri Poincaré
9 Science China. Mathematics
9 Kyoto Journal of Mathematics
9 Forum of Mathematics, Sigma
8 Journal of the Mathematical Society of Japan
8 Journal of the European Mathematical Society (JEMS)
8 Journal of the Australian Mathematical Society
7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
7 Glasgow Mathematical Journal
7 Journal of Symbolic Computation
7 Journal of Algebraic Geometry
7 Documenta Mathematica
7 Annals of Combinatorics
7 Journal of Physics A: Mathematical and Theoretical
6 Journal of Statistical Physics
6 Functional Analysis and its Applications
6 International Journal of Mathematics and Mathematical Sciences
6 Memoirs of the American Mathematical Society
6 Theoretical Computer Science
6 The Electronic Journal of Combinatorics
6 Algebra & Number Theory
6 Open Mathematics
5 Computer Physics Communications
5 Physics Letters. B
5 The Mathematical Intelligencer
5 Bulletin de la Société Mathématique de France
5 Publications Mathématiques
5 Journal of the London Mathematical Society. Second Series
5 Geometric and Functional Analysis. GAFA
5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
5 Expositiones Mathematicae
5 Annales Mathématiques Blaise Pascal
5 Kyushu Journal of Mathematics
...and 221 more Serials
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Cited in 60 Fields

2,404 Number theory (11-XX)
607 Algebraic geometry (14-XX)
378 Quantum theory (81-XX)
285 Manifolds and cell complexes (57-XX)
271 Special functions (33-XX)
259 Combinatorics (05-XX)
136 Several complex variables and analytic spaces (32-XX)
133 Differential geometry (53-XX)
131 Global analysis, analysis on manifolds (58-XX)
130 Relativity and gravitational theory (83-XX)
129 Nonassociative rings and algebras (17-XX)
108 Group theory and generalizations (20-XX)
91 Topological groups, Lie groups (22-XX)
88 Functions of a complex variable (30-XX)
84 Dynamical systems and ergodic theory (37-XX)
63 Probability theory and stochastic processes (60-XX)
55 Associative rings and algebras (16-XX)
40 \(K\)-theory (19-XX)
38 Linear and multilinear algebra; matrix theory (15-XX)
38 Algebraic topology (55-XX)
36 Sequences, series, summability (40-XX)
33 Convex and discrete geometry (52-XX)
31 Statistical mechanics, structure of matter (82-XX)
30 Field theory and polynomials (12-XX)
30 Commutative algebra (13-XX)
29 Ordinary differential equations (34-XX)
29 Geometry (51-XX)
29 Computer science (68-XX)
28 Functional analysis (46-XX)
25 Partial differential equations (35-XX)
22 Operator theory (47-XX)
19 Measure and integration (28-XX)
19 Information and communication theory, circuits (94-XX)
17 Approximations and expansions (41-XX)
17 Numerical analysis (65-XX)
16 Harmonic analysis on Euclidean spaces (42-XX)
14 History and biography (01-XX)
14 Mathematical logic and foundations (03-XX)
14 Difference and functional equations (39-XX)
13 Order, lattices, ordered algebraic structures (06-XX)
12 Integral transforms, operational calculus (44-XX)
10 General and overarching topics; collections (00-XX)
10 Real functions (26-XX)
10 Abstract harmonic analysis (43-XX)
9 Category theory; homological algebra (18-XX)
9 Statistics (62-XX)
8 General topology (54-XX)
8 Mechanics of particles and systems (70-XX)
8 Biology and other natural sciences (92-XX)
6 Operations research, mathematical programming (90-XX)
3 Mechanics of deformable solids (74-XX)
3 Optics, electromagnetic theory (78-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Mathematics education (97-XX)
2 Fluid mechanics (76-XX)
1 Potential theory (31-XX)
1 Integral equations (45-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Astronomy and astrophysics (85-XX)
1 Systems theory; control (93-XX)

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