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## Shimura, Goro

Compute Distance To:
 Author ID: shimura.goro Published as: Shimura, Goro; Shimura, G.; Shimura, Gorô External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef
 Documents Indexed: 143 Publications since 1952, including 24 Books Biographic References: 5 Publications
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#### Co-Authors

 135 single-authored 2 Kuga, Michio 2 Taniyama, Yutaka 1 Chowla, Sarvadaman 1 Koizumi, Shoji 1 Matsuhima, Y. 1 Serre, Jean-Pierre
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#### Serials

 26 Annals of Mathematics. Second Series 15 Duke Mathematical Journal 9 Journal of the Mathematical Society of Japan 8 American Journal of Mathematics 6 Inventiones Mathematicae 5 Mathematische Annalen 4 Documenta Mathematica 4 Springer Collected Works in Mathematics 3 Journal für die Reine und Angewandte Mathematik 3 Scientific Papers of the College of General Education 3 Springer Monographs in Mathematics 2 Acta Mathematica 2 Nagoya Mathematical Journal 2 Proceedings of the London Mathematical Society. Third Series 2 Proceedings of the National Academy of Sciences of the United States of America 2 Mathematical Surveys and Monographs 1 American Mathematical Monthly 1 Communications on Pure and Applied Mathematics 1 Bulletin of the London Mathematical Society 1 Journal of the Faculty of Science. Section I A 1 Journal of Number Theory 1 Nachrichten der Akademie der Wissenschaften in Göttingen. II. Mathematisch-Physikalische Klasse 1 Osaka Journal of Mathematics 1 Sūgaku 1 Revista Matemática Iberoamericana 1 Istanbul Üniversitesi Fen Fakültesi Matematik Dergisi 1 Bulletin of the American Mathematical Society. New Series 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Notices of the American Mathematical Society 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 1 Det Kongelige Norske Videnskabers Selskabs Forhandlinger 1 Osaka Mathematical Journal 1 Lecture Notes in Mathematics 1 Princeton Mathematical Series 1 Regional Conference Series in Mathematics
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#### Fields

 117 Number theory (11-XX) 34 Algebraic geometry (14-XX) 17 Several complex variables and analytic spaces (32-XX) 12 History and biography (01-XX) 3 Topological groups, Lie groups (22-XX) 3 Special functions (33-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX)

#### Citations contained in zbMATH Open

119 Publications have been cited 4,021 times in 2,512 Documents Cited by Year
Introduction to the arithmetic theory of automorphic functions. Zbl 0221.10029
Shimura, Goro
1971
On modular forms of half integral weight. Zbl 0266.10022
Shimura, Goro
1973
Introduction to the arithmetic theory of automorphic functions. Repr. of the 1971 orig. Zbl 0872.11023
Shimura, Goro
1994
The special values of the zeta functions associated with cusp forms. Zbl 0348.10015
Shimura, Goro
1976
On the holomorphy of certain Dirichlet series. Zbl 0311.10029
Shimura, Goro
1975
Complex multiplication of abelian varieties and its applications to number theory. Zbl 0112.03502
Shimura, Goro; Taniyama, Yutaka.
1961
The special values of the zeta functions associated with Hilbert modular forms. Zbl 0394.10015
Shimura, Goro
1978
On analytic families of polarized abelian varieties and automorphic functions. Zbl 0142.05402
Shimura, G.
1963
On Eisenstein series. Zbl 0519.10019
Shimura, Goro
1983
On integrals attached to automorphic forms. (Sur les intégrales attachées aux formes automorphes.) Zbl 0090.05503
Shimura, Goro
1959
On the periods of modular forms. Zbl 0363.10019
Shimura, Goro
1977
Abelian varieties with complex multiplication and modular functions. Zbl 0908.11023
Shimura, Goro
1998
Confluent hypergeometric functions on tube domains. Zbl 0502.10013
Shimura, Goro
1982
Construction of class fields and zeta functions of algebraic curves. Zbl 0204.07201
Shimura, G.
1967
On elliptic curves with complex multiplication as factors of the Jacobians of modular function fields. Zbl 0225.14015
Shimura, Goro
1971
Arithmeticity in the theory of automorphic forms. Zbl 0967.11001
Shimura, Goro
2000
On some arithmetic properties of modular forms of one and several variables. Zbl 0327.10028
Shimura, Goro
1975
Euler products and Eisenstein series. Zbl 0906.11020
Shimura, Goro
1997
On canonical models of arithmetic quotients of bounded symmetric domains. Zbl 0237.14009
Shimura, Goro
1970
Arithmetic of unitary groups. Zbl 0144.29504
Shimura, G.
1964
On the factors of the Jacobian variety of a modular function field. Zbl 0266.14017
Shimura, Goro
1973
Class fields over real quadratic fields and Hecke operators. Zbl 0255.10032
Shimura, Goro
1972
On the Fourier coefficients of modular forms of several variables. Zbl 0332.32024
Shimura, Goro
1975
On the cohomology groups attached to certain vector valued differential forms on the product of the upper half planes. Zbl 0141.38704
Matsuhima, Y.; Shimura, G.
1963
Automorphic forms and the periods of abelian varieties. Zbl 0456.10015
Shimura, Goro
1979
The arithmetic of certain zeta functions and automorphic forms on orthogonal groups. Zbl 0438.12003
Shimura, Goro
1980
On modular correspondences for $$\text{Sp}(n,\mathbb Z)$$ and their congruence relations. Zbl 0122.08803
Shimura, Goro
1963
On Hilbert modular forms of half-integral weight. Zbl 0636.10024
Shimura, Goro
1987
On Eisenstein series of half-integral weight. Zbl 0577.10025
Shimura, Goro
1985
On the field of rationality for an Abelian variety. Zbl 0243.14012
Shimura, Goro
1972
On the real points of an arithmetic quotient of a bounded symmetric domain. Zbl 0394.14007
Shimura, Goro
1975
Correspondances modulaires et les fonctions $$\zeta$$ de courbes algébriques. Zbl 0081.07603
Shimura, Gorô
1958
On the zeta-function of an abelian variety with complex multiplication. Zbl 0242.14009
Shimura, Goro
1971
On certain reciprocity-laws for theta functions and modular forms. Zbl 0402.10030
Shimura, Goro
1978
Nearly holomorphic functions on Hermitian symmetric spaces. Zbl 0636.10023
Shimura, Goro
1987
Reduction of algebraic varieties with respect to a discrete valuation of the basic field. Zbl 0065.36701
Shimura, Goro
1955
On a class of nearly holomorphic automorhic forms. Zbl 0593.10022
Shimura, Goro
1986
Moduli and fibre systems of abelian varieties. Zbl 0141.37503
Shimura, G.
1966
On differential operators attached to certain representations of classical groups. Zbl 0558.10023
Shimura, Goro
1984
Differential operators, holomorphic projection, and singular forms. Zbl 0829.11029
Shimura, Goro
1994
Arithmetic of alternating forms and quaternion hermitian forms. Zbl 0121.28102
Shimura, Goro
1963
The critical values of certain zeta functions associated with modular forms of half-integral weight. Zbl 0494.10018
Shimura, Goro
1981
The arithmetic of automorphic forms with respect to a unitary group. Zbl 0409.10016
Shimura, Goro
1978
Theta functions with complex multiplication. Zbl 0371.14022
Shimura, Goro
1976
On the derivatives of theta functions and modular forms. Zbl 0371.14023
Shimura, Goro
1977
Eisenstein series and zeta functions on symplectic groups. Zbl 0845.11020
Shimura, Goro
1995
Invariant differential operators on Hermitian symmetric spaces. Zbl 0718.11020
Shimura, Goro
1990
On certain zeta functions attached to two Hilbert modular forms. II: The case of automorphic forms on a quaternion algebra. Zbl 0486.10021
Shimura, Goro
1981
On the Fourier coefficients of Hilbert modular forms of half-integral weight. Zbl 0802.11017
Shimura, Goro
1993
Elementary Dirichlet series and modular forms. Zbl 1148.11002
Shimura, Goro
2007
Algebraic relations between critical values of zeta functions and inner products. Zbl 0518.10032
Shimura, Goro
1983
On the critical values of certain Dirichlet series and the periods of automorphic forms. Zbl 0656.10018
Shimura, Goro
1988
Algebraic number fields and symplectic discontinuous groups. Zbl 0205.50601
Shimura, G.
1967
A reciprocity in law in non-solvable extensions. Zbl 0144.04204
Shimura, G.
1966
On the Eisenstein series of Hilbert modular groups. Zbl 0608.10028
Shimura, Goro
1985
On the transformation formulas of theta series. Zbl 0802.11016
Shimura, Goro
1993
Arithmetic of differential operators on symmetric domains. Zbl 0487.10021
Shimura, Goro
1981
The periods of certain automorphic forms of arithmetic type. Zbl 0499.10027
Shimura, Goro
1981
An exact mass formula for orthogonal groups. Zbl 1161.11325
Shimura, Goro
1999
On the field of definition for a field of automorphic functions. Zbl 0196.53203
Shimura, G.
1964
Arithmetic and analytic theories of quadratic forms and Clifford groups. Zbl 1135.11018
Shimura, Goro
2004
On canonical models of arithmetic quotients of bounded symmetric domains. II. Zbl 0237.14010
Shimura, Goro
1970
Differential operators and the singular values of Eisenstein series. Zbl 0546.10025
Shimura, Goro
1984
Euler products and Fourier coefficients of automorphic forms on symplectic groups. Zbl 0811.11033
Shimura, Goro
1994
On certain zeta functions attached to two Hilbert modular forms. I: The case of Hecke characters. Zbl 0468.10016
Shimura, Goro
1981
On the zeta-functions of the algebraic curves uniformized by certain automorphic functions. Zbl 0218.14013
Shimura, G.
1961
On Dirichlet series and abelian varieties attached to automorphic forms. Zbl 0142.05501
Shimura, G.
1962
On the theory of automorphic functions. Zbl 0101.05701
Shimura, Goro
1959
On purely transcendental fields of automorphic functions of several variables. Zbl 0149.04302
Shimura, G.
1964
Some exact formulas on quaternion unitary groups. Zbl 0918.11027
Shimura, Goro
1999
Convergence of zeta functions on symplectic and metaplectic groups. Zbl 0854.11028
Shimura, Goro
1996
Arithmetic of quadratic forms. Zbl 1202.11026
Shimura, Goro
2010
The critical values of certain Dirichlet series attached to Hilbert modular forms. Zbl 0752.11021
Shimura, Goro
1991
On Abelian varieties with complex multiplications. Zbl 0445.14021
Shimura, Goro
1977
On vector differential forms attached to automorphic forms. Zbl 0097.28704
Kuga, Michio; Shimura, Goro
1960
Discontinuous groups and abelian varieties. Zbl 0145.17401
Shimura, G.
1967
On the fundamental periods of automorphic forms of arithmetic type. Zbl 0712.11028
Shimura, Goro
1990
Modular forms: basics and beyond. Zbl 1234.11049
Shimura, Goro
2012
The number of representations of an integer by a quadratic form. Zbl 1161.11326
Shimura, Goro
1999
The representation of integers as sums of squares. Zbl 1047.11035
Shimura, Goro
2002
Automorphic functions and number theory. Zbl 0183.25402
Shimura, Goro
1968
On the zeta function of a fibre variety whose fibres are abelian varieties. Zbl 0166.16801
Kuga, M.; Shimura, G.
1965
On the trace formula for Hecke operators. Zbl 0285.10018
Shimura, Goro
1974
Zeta functions and Eisenstein series on metaplectic groups. Zbl 0918.11028
Shimura, Goro
1995
Inhomogeneous quadratic forms and triangular numbers. Zbl 1047.11036
Shimura, Goro
2004
Algebraic varieties without deformation and the Chow variety. Zbl 0197.17202
Shimura, G.
1968
On the field of definition for a field of automorphic functions. III. Zbl 0222.14027
Shimura, Goro
1966
On specializations of Abelian varieties. Zbl 0107.14801
Koizumi, Shoji; Shimura, G.
1959
On the class-fields obtained by complex multiplication of abelian varieties. Zbl 0116.02903
Shimura, Goro
1962
Shimura, Goro
2006
Modular forms of half integral weight. Zbl 0268.10014
Shimura, Goro
1973
Quadratic Diophantine equations and orders in quaternion algebras. Zbl 1108.11086
Shimura, Goro
2006
Generalized Bessel functions on symmetric spaces. Zbl 0978.33009
Shimura, Goro
1999
Classification, construction, and similitudes of quadratic forms. Zbl 1135.11019
Shimura, Goro
2006
Complex multiplication. Notes by Willem Kuyk. Zbl 0268.10015
Shimura, Goro
1973
Introduction to the arithmetic theory of automorphic functions. (Введение в арифметическую теорию автоморфных функций.) (Translation from the English by A. A. Bel’skiĭ. Edited by S. G. Gindikin.) Zbl 0271.10030
Shimura, Goro
1973
Moduli of abelian varieties and number theory. Zbl 0167.19101
Shimura, G.
1966
Zeta functions and Eisenstein series on classical groups. Zbl 0912.11021
Shimura, Goro
1997
On the representation of zero by a linear combination of $$k$$-th powers. Zbl 0119.04405
1963
Class-fields and automorphic functions. Zbl 0135.08601
Shimura, Gorô
1964
Modular forms: basics and beyond. Zbl 1234.11049
Shimura, Goro
2012
Arithmetic of quadratic forms. Zbl 1202.11026
Shimura, Goro
2010
The critical values of generalizations of the Hurwitz zeta function. Zbl 1246.11148
Shimura, Goro
2010
Arithmetic of Hermitian forms. Zbl 1213.11090
Shimura, Goro
2008
The critical values of certain Dirichlet series. Zbl 1196.11072
Shimura, Goro
2008
Elementary Dirichlet series and modular forms. Zbl 1148.11002
Shimura, Goro
2007
Shimura, Goro
2006
Quadratic Diophantine equations and orders in quaternion algebras. Zbl 1108.11086
Shimura, Goro
2006
Classification, construction, and similitudes of quadratic forms. Zbl 1135.11019
Shimura, Goro
2006
Quadratic Diophantine equations, the class number, and the mass formula. Zbl 1108.11034
Shimura, Goro
2006
Arithmetic and analytic theories of quadratic forms and Clifford groups. Zbl 1135.11018
Shimura, Goro
2004
Inhomogeneous quadratic forms and triangular numbers. Zbl 1047.11036
Shimura, Goro
2004
Collected papers. III: 1978–1988. Zbl 1037.01012
Shimura, Goro
2003
The representation of integers as sums of squares. Zbl 1047.11035
Shimura, Goro
2002
Collected papers. II: 1967–1977. Zbl 1037.01011
Shimura, Goro
2002
Arithmeticity in the theory of automorphic forms. Zbl 0967.11001
Shimura, Goro
2000
An exact mass formula for orthogonal groups. Zbl 1161.11325
Shimura, Goro
1999
Some exact formulas on quaternion unitary groups. Zbl 0918.11027
Shimura, Goro
1999
The number of representations of an integer by a quadratic form. Zbl 1161.11326
Shimura, Goro
1999
Generalized Bessel functions on symmetric spaces. Zbl 0978.33009
Shimura, Goro
1999
Abelian varieties with complex multiplication and modular functions. Zbl 0908.11023
Shimura, Goro
1998
Euler products and Eisenstein series. Zbl 0906.11020
Shimura, Goro
1997
Zeta functions and Eisenstein series on classical groups. Zbl 0912.11021
Shimura, Goro
1997
Convergence of zeta functions on symplectic and metaplectic groups. Zbl 0854.11028
Shimura, Goro
1996
Eisenstein series and zeta functions on symplectic groups. Zbl 0845.11020
Shimura, Goro
1995
Zeta functions and Eisenstein series on metaplectic groups. Zbl 0918.11028
Shimura, Goro
1995
Introduction to the arithmetic theory of automorphic functions. Repr. of the 1971 orig. Zbl 0872.11023
Shimura, Goro
1994
Differential operators, holomorphic projection, and singular forms. Zbl 0829.11029
Shimura, Goro
1994
Euler products and Fourier coefficients of automorphic forms on symplectic groups. Zbl 0811.11033
Shimura, Goro
1994
Fractional and trigonometric expressions for matrices. Zbl 0836.15004
Shimura, Goro
1994
On the Fourier coefficients of Hilbert modular forms of half-integral weight. Zbl 0802.11017
Shimura, Goro
1993
On the transformation formulas of theta series. Zbl 0802.11016
Shimura, Goro
1993
The critical values of certain Dirichlet series attached to Hilbert modular forms. Zbl 0752.11021
Shimura, Goro
1991
Invariant differential operators on Hermitian symmetric spaces. Zbl 0718.11020
Shimura, Goro
1990
On the fundamental periods of automorphic forms of arithmetic type. Zbl 0712.11028
Shimura, Goro
1990
Yutaka Taniyama and his time. Zbl 0667.01020
Shimura, Goro
1989
On the critical values of certain Dirichlet series and the periods of automorphic forms. Zbl 0656.10018
Shimura, Goro
1988
On Hilbert modular forms of half-integral weight. Zbl 0636.10024
Shimura, Goro
1987
Nearly holomorphic functions on Hermitian symmetric spaces. Zbl 0636.10023
Shimura, Goro
1987
On a class of nearly holomorphic automorhic forms. Zbl 0593.10022
Shimura, Goro
1986
On Eisenstein series of half-integral weight. Zbl 0577.10025
Shimura, Goro
1985
On the Eisenstein series of Hilbert modular groups. Zbl 0608.10028
Shimura, Goro
1985
On differential operators attached to certain representations of classical groups. Zbl 0558.10023
Shimura, Goro
1984
Differential operators and the singular values of Eisenstein series. Zbl 0546.10025
Shimura, Goro
1984
On Eisenstein series. Zbl 0519.10019
Shimura, Goro
1983
Algebraic relations between critical values of zeta functions and inner products. Zbl 0518.10032
Shimura, Goro
1983
Confluent hypergeometric functions on tube domains. Zbl 0502.10013
Shimura, Goro
1982
Models of an abelian variety with complex multiplication over small fields. Zbl 0505.14037
Shimura, Goro
1982
The critical values of certain zeta functions associated with modular forms of half-integral weight. Zbl 0494.10018
Shimura, Goro
1981
On certain zeta functions attached to two Hilbert modular forms. II: The case of automorphic forms on a quaternion algebra. Zbl 0486.10021
Shimura, Goro
1981
Arithmetic of differential operators on symmetric domains. Zbl 0487.10021
Shimura, Goro
1981
The periods of certain automorphic forms of arithmetic type. Zbl 0499.10027
Shimura, Goro
1981
On certain zeta functions attached to two Hilbert modular forms. I: The case of Hecke characters. Zbl 0468.10016
Shimura, Goro
1981
Corrections to ”The special values of the zeta functions associated with Hilbert modular forms”. Zbl 0464.10016
Shimura, Goro
1981
The arithmetic of certain zeta functions and automorphic forms on orthogonal groups. Zbl 0438.12003
Shimura, Goro
1980
On some problems of algebraicity. Zbl 0439.10018
Shimura, Goro
1980
The periods of Abelian varieties with complex multiplication and the spectral values of certain zeta functions. Zbl 0458.14016
Shimura, Goro
1980
Automorphic forms and the periods of abelian varieties. Zbl 0456.10015
Shimura, Goro
1979
The special values of the zeta functions associated with Hilbert modular forms. Zbl 0394.10015
Shimura, Goro
1978
On certain reciprocity-laws for theta functions and modular forms. Zbl 0402.10030
Shimura, Goro
1978
The arithmetic of automorphic forms with respect to a unitary group. Zbl 0409.10016
Shimura, Goro
1978
On the periods of modular forms. Zbl 0363.10019
Shimura, Goro
1977
On the derivatives of theta functions and modular forms. Zbl 0371.14023
Shimura, Goro
1977
On Abelian varieties with complex multiplications. Zbl 0445.14021
Shimura, Goro
1977
The special values of the zeta functions associated with cusp forms. Zbl 0348.10015
Shimura, Goro
1976
Theta functions with complex multiplication. Zbl 0371.14022
Shimura, Goro
1976
On the holomorphy of certain Dirichlet series. Zbl 0311.10029
Shimura, Goro
1975
On some arithmetic properties of modular forms of one and several variables. Zbl 0327.10028
Shimura, Goro
1975
On the Fourier coefficients of modular forms of several variables. Zbl 0332.32024
Shimura, Goro
1975
On the real points of an arithmetic quotient of a bounded symmetric domain. Zbl 0394.14007
Shimura, Goro
1975
On the trace formula for Hecke operators. Zbl 0285.10018
Shimura, Goro
1974
On modular forms of half integral weight. Zbl 0266.10022
Shimura, Goro
1973
On the factors of the Jacobian variety of a modular function field. Zbl 0266.14017
Shimura, Goro
1973
Modular forms of half integral weight. Zbl 0268.10014
Shimura, Goro
1973
Complex multiplication. Notes by Willem Kuyk. Zbl 0268.10015
Shimura, Goro
1973
Introduction to the arithmetic theory of automorphic functions. (Введение в арифметическую теорию автоморфных функций.) (Translation from the English by A. A. Bel’skiĭ. Edited by S. G. Gindikin.) Zbl 0271.10030
Shimura, Goro
1973
Class fields over real quadratic fields and Hecke operators. Zbl 0255.10032
Shimura, Goro
1972
On the field of rationality for an Abelian variety. Zbl 0243.14012
Shimura, Goro
1972
Introduction to the arithmetic theory of automorphic functions. Zbl 0221.10029
Shimura, Goro
1971
On elliptic curves with complex multiplication as factors of the Jacobians of modular function fields. Zbl 0225.14015
Shimura, Goro
1971
On the zeta-function of an abelian variety with complex multiplication. Zbl 0242.14009
Shimura, Goro
1971
Class fields over real quadratic fields in the theory of modular functions. Zbl 0255.10031
Shimura, Goro
1971
On canonical models of arithmetic quotients of bounded symmetric domains. Zbl 0237.14009
Shimura, Goro
1970
On canonical models of arithmetic quotients of bounded symmetric domains. II. Zbl 0237.14010
Shimura, Goro
1970
Automorphic functions and number theory. Zbl 0183.25402
Shimura, Goro
1968
Algebraic varieties without deformation and the Chow variety. Zbl 0197.17202
Shimura, G.
1968
Number fields and zeta functions associated with discontinuous groups and algebraic varieties. Zbl 0226.14012
Shimura, Goro
1968
Construction of class fields and zeta functions of algebraic curves. Zbl 0204.07201
Shimura, G.
1967
Algebraic number fields and symplectic discontinuous groups. Zbl 0205.50601
Shimura, G.
1967
Discontinuous groups and abelian varieties. Zbl 0145.17401
Shimura, G.
1967
Moduli and fibre systems of abelian varieties. Zbl 0141.37503
Shimura, G.
1966
A reciprocity in law in non-solvable extensions. Zbl 0144.04204
Shimura, G.
1966
On the field of definition for a field of automorphic functions. III. Zbl 0222.14027
Shimura, Goro
1966
Moduli of abelian varieties and number theory. Zbl 0167.19101
Shimura, G.
1966
On the zeta function of a fibre variety whose fibres are abelian varieties. Zbl 0166.16801
Kuga, M.; Shimura, G.
1965
On the field of definition for a field of automorphic functions. II. Zbl 0222.14026
Shimura, Goro
1965
Arithmetic of unitary groups. Zbl 0144.29504
Shimura, G.
1964
On the field of definition for a field of automorphic functions. Zbl 0196.53203
Shimura, G.
1964
On purely transcendental fields of automorphic functions of several variables. Zbl 0149.04302
Shimura, G.
1964
Class-fields and automorphic functions. Zbl 0135.08601
Shimura, Gorô
1964
...and 19 more Documents
all top 5

#### Cited by 1,767 Authors

 40 Koo, Jakyung 30 Shimura, Goro 27 Bringmann, Kathrin 27 Kohnen, Winfried 27 Ono, Ken 23 Böcherer, Siegfried 23 Hida, Haruzo 22 Shin, Dong Hwa 20 Mizumoto, Shin-ichiro 17 Ibukiyama, Tomoyoshi 17 Kim, Chang Heon 16 Bruinier, Jan Hendrik 16 Katsurada, Hidenori 16 Nagaoka, Shoyu 14 Ash, Avner 14 Choie, YoungJu 14 Silverberg, Alice 13 Gross, Benedict Hyman 13 Kojima, Hisashi 13 Kudla, Stephen S. 13 Panchishkin, Alexei A. 13 Yang, Tonghai 13 Zarkhin, Yuriĭ Gennad’evich 12 Guerzhoy, Pavel I. 12 Kane, Ben 11 Fomenko, Oleg Mstislavovich 11 Heim, Bernhard Ernst 11 Rubin, Karl Cooper 11 Yang, Yifan 10 Choi, Dohoon 10 Duke, William Drexel 10 Harris, Michael Howard 10 Mazur, Barry 10 Ribet, Kenneth Alan 10 Yamana, Shunsuke 10 Yoon, Dong Sung 10 Zhang, Genkai 9 Brown, Jim L. 9 Cho, Bumkyu 9 Dummigan, Neil 9 Friedberg, Solomon 9 Gritsenko, Valeriĭ Alekseevich 9 Hidalgo, Rubén Antonio 9 Jung, Ho Yun 9 Lim, Subong 9 Long, Ling 9 Raji, Wissam 9 Schulze-Pillot, Rainer 8 Gelbart, Stephen S. 8 Goren, Eyal Z. 8 Hatada, Kazuyuki 8 Hoffstein, Jeffrey 8 Iwaniec, Henryk 8 Jorgenson, Jay Alan 8 Krieg, Aloys 8 Lauter, Kristin Estella 8 Li, Wen-Ch’ing Winnie 8 Murabayashi, Naoki 8 Murty, Maruti Ram 8 Oort, Frans 8 Pitale, Ameya 8 Ramakrishnan, Balakrishnan 8 Raum, Martin 8 Rotger, Victor 8 Sarnak, Peter Clive 8 Schimmrigk, Rolf 8 Tilouine, Jacques 8 Tretkoff, Paula 7 Arai, Keisuke 7 Bouganis, Thanasis 7 Darmon, Henri René 7 González, Josep R. 7 Hashimoto, Ki-ichiro 7 Lang, Serge 7 Li, Yingkun 7 Mizuno, Yoshinori 7 O’Sullivan, Cormac 7 Park, Yoon Kyung 7 Rohrlich, David E. 7 Saha, Abhishek 7 Taylor, Richard Lawrence 7 Voight, John Michael 7 Wolfart, Jürgen 6 Abdulali, Salman 6 Bayer Isant, Pilar 6 Blomer, Valentin 6 Burungale, Ashay A. 6 Das, Soumya 6 Diamantis, Nikolaos 6 Eum, Ick Sun 6 Gun, Sanoli 6 Gunnells, Paul E. 6 Hamieh, Alia 6 James, Kevin 6 Komatsu, Keiichi 6 Kramer, Jürg 6 Lang, Mong Lung 6 Lanphier, Dominic 6 Lau, Yuk-Kam 6 Lee, Minho ...and 1,667 more Authors
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#### Cited in 206 Serials

 229 Journal of Number Theory 150 Mathematische Annalen 143 Inventiones Mathematicae 107 Duke Mathematical Journal 88 Compositio Mathematica 79 The Ramanujan Journal 76 International Journal of Number Theory 75 Transactions of the American Mathematical Society 73 Mathematische Zeitschrift 66 Proceedings of the American Mathematical Society 60 Nagoya Mathematical Journal 57 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 52 Journal of Algebra 50 Proceedings of the Japan Academy. Series A 47 Manuscripta Mathematica 45 Journal de Théorie des Nombres de Bordeaux 44 Mathematics of Computation 42 Annales de l’Institut Fourier 36 Advances in Mathematics 30 Archiv der Mathematik 29 Experimental Mathematics 28 Israel Journal of Mathematics 27 Tohoku Mathematical Journal. Second Series 26 Journal für die Reine und Angewandte Mathematik 25 Journal of Pure and Applied Algebra 25 Research in the Mathematical Sciences 24 Bulletin of the American Mathematical Society. New Series 24 Research in Number Theory 23 Acta Arithmetica 21 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 21 Journal of Soviet Mathematics 17 Journal of Mathematical Sciences (New York) 17 Annals of Mathematics. Second Series 16 Journal of Mathematical Analysis and Applications 16 Journal of Functional Analysis 16 LMS Journal of Computation and Mathematics 15 Mathematical Proceedings of the Cambridge Philosophical Society 15 Journal of the Mathematical Society of Japan 14 Journal of the American Mathematical Society 14 International Journal of Mathematics 12 Rocky Mountain Journal of Mathematics 12 Forum Mathematicum 12 Annales Mathématiques du Québec 10 Communications in Mathematical Physics 10 Publications Mathématiques 9 Bulletin de la Société Mathématique de France 9 Functiones et Approximatio. Commentarii Mathematici 9 Geometriae Dedicata 9 Glasgow Mathematical Journal 9 Mathematika 9 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Journal of the Institute of Mathematics of Jussieu 8 Journal of Geometry and Physics 8 Memoirs of the American Mathematical Society 8 Monatshefte für Mathematik 8 Finite Fields and their Applications 8 Bulletin of the American Mathematical Society 8 Algebra & Number Theory 8 Forum of Mathematics, Sigma 7 Tokyo Journal of Mathematics 7 Documenta Mathematica 7 Proceedings of the Japan Academy 7 Kyoto Journal of Mathematics 6 Bulletin of the Australian Mathematical Society 6 Communications in Algebra 6 Publications of the Research Institute for Mathematical Sciences, Kyoto University 6 Results in Mathematics 6 Mémoires de la Société Mathématique de France. Nouvelle Série 6 Journal of High Energy Physics 5 Lithuanian Mathematical Journal 5 Nuclear Physics. B 5 Acta Mathematica 5 Functional Analysis and its Applications 5 Kodai Mathematical Journal 5 Geometric and Functional Analysis. GAFA 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Selecta Mathematica. New Series 5 Journal of the Australian Mathematical Society 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Mathematical Notes 4 Journal of the London Mathematical Society. Second Series 4 Michigan Mathematical Journal 4 Pacific Journal of Mathematics 4 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 4 Proceedings of the National Academy of Sciences of the United States of America 4 Acta Mathematica Sinica. New Series 4 Indagationes Mathematicae. New Series 4 St. Petersburg Mathematical Journal 4 Geometry & Topology 4 Journal of the European Mathematical Society (JEMS) 4 Acta Mathematica Sinica. English Series 4 Science China. Mathematics 3 Journal of the Korean Mathematical Society 3 Mathematische Nachrichten 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Proceedings of the London Mathematical Society. Third Series 3 $$K$$-Theory 3 Journal of Algebraic Geometry 3 Representation Theory ...and 106 more Serials
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#### Cited in 48 Fields

 2,127 Number theory (11-XX) 750 Algebraic geometry (14-XX) 120 Group theory and generalizations (20-XX) 117 Topological groups, Lie groups (22-XX) 90 Several complex variables and analytic spaces (32-XX) 77 Functions of a complex variable (30-XX) 60 Special functions (33-XX) 39 Field theory and polynomials (12-XX) 39 Nonassociative rings and algebras (17-XX) 38 Global analysis, analysis on manifolds (58-XX) 32 Quantum theory (81-XX) 28 Combinatorics (05-XX) 26 Differential geometry (53-XX) 25 Associative rings and algebras (16-XX) 23 Manifolds and cell complexes (57-XX) 17 $$K$$-theory (19-XX) 15 Commutative algebra (13-XX) 14 Abstract harmonic analysis (43-XX) 12 Dynamical systems and ergodic theory (37-XX) 12 Information and communication theory, circuits (94-XX) 11 Ordinary differential equations (34-XX) 11 Algebraic topology (55-XX) 11 Relativity and gravitational theory (83-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Functional analysis (46-XX) 8 Computer science (68-XX) 7 Operator theory (47-XX) 7 Geometry (51-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Partial differential equations (35-XX) 5 History and biography (01-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Category theory; homological algebra (18-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Integral transforms, operational calculus (44-XX) 4 Convex and discrete geometry (52-XX) 3 Mathematical logic and foundations (03-XX) 2 General and overarching topics; collections (00-XX) 2 Measure and integration (28-XX) 2 Approximations and expansions (41-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 1 Real functions (26-XX) 1 Sequences, series, summability (40-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX) 1 Astronomy and astrophysics (85-XX)

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