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Shimura, Goro (b. 1930 d. 2019)

Author ID: shimura.goro Recent zbMATH articles by "Shimura, Goro"
Published as: Shimura, Goro; Shimura, G.; Shimura, Gorô
Further Spellings: 志村 五郎
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef
Documents Indexed: 142 Publications since 1952, including 23 Books
1 Contribution as Editor · 2 Further Contributions
Biographic References: 6 Publications
Co-Authors: 6 Co-Authors with 8 Joint Publications
118 Co-Co-Authors
all top 5

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 Publications of the Mathematical Society of Japan
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
1 Contemporary Mathematicians

Publications by Year

Citations contained in zbMATH Open

121 Publications have been cited 4,523 times in 2,858 Documents Cited by Year
Introduction to the arithmetic theory of automorphic functions. Zbl 0221.10029
Shimura, Goro
783
1971
On modular forms of half integral weight. Zbl 0266.10022
Shimura, Goro
467
1973
Introduction to the arithmetic theory of automorphic functions. Repr. of the 1971 orig. Zbl 0872.11023
Shimura, Goro
201
1994
The special values of the zeta functions associated with cusp forms. Zbl 0348.10015
Shimura, Goro
171
1976
On the holomorphy of certain Dirichlet series. Zbl 0311.10029
Shimura, Goro
159
1975
Complex multiplication of abelian varieties and its applications to number theory. Zbl 0112.03502
Shimura, Goro; Taniyama, Yutaka.
150
1961
The special values of the zeta functions associated with Hilbert modular forms. Zbl 0394.10015
Shimura, Goro
143
1978
On analytic families of polarized abelian varieties and automorphic functions. Zbl 0142.05402
Shimura, G.
103
1963
Abelian varieties with complex multiplication and modular functions. Zbl 0908.11023
Shimura, Goro
97
1998
On integrals attached to automorphic forms. (Sur les intégrales attachées aux formes automorphes.) Zbl 0090.05503
Shimura, Goro
97
1959
On Eisenstein series. Zbl 0519.10019
Shimura, Goro
94
1983
On the periods of modular forms. Zbl 0363.10019
Shimura, Goro
93
1977
Confluent hypergeometric functions on tube domains. Zbl 0502.10013
Shimura, Goro
81
1982
Construction of class fields and zeta functions of algebraic curves. Zbl 0204.07201
Shimura, G.
77
1967
Arithmeticity in the theory of automorphic forms. Zbl 0967.11001
Shimura, Goro
73
2000
On elliptic curves with complex multiplication as factors of the Jacobians of modular function fields. Zbl 0225.14015
Shimura, Goro
67
1971
On some arithmetic properties of modular forms of one and several variables. Zbl 0327.10028
Shimura, Goro
65
1975
Euler products and Eisenstein series. Zbl 0906.11020
Shimura, Goro
63
1997
Arithmetic of unitary groups. Zbl 0144.29504
Shimura, G.
56
1964
On canonical models of arithmetic quotients of bounded symmetric domains. Zbl 0237.14009
Shimura, Goro
52
1970
On the factors of the Jacobian variety of a modular function field. Zbl 0266.14017
Shimura, Goro
44
1973
Class fields over real quadratic fields and Hecke operators. Zbl 0255.10032
Shimura, Goro
41
1972
On the Fourier coefficients of modular forms of several variables. Zbl 0332.32024
Shimura, Goro
40
1975
Automorphic forms and the periods of abelian varieties. Zbl 0456.10015
Shimura, Goro
35
1979
On modular correspondences for \(\text{Sp}(n,\mathbb Z)\) and their congruence relations. Zbl 0122.08803
Shimura, Goro
35
1963
On Hilbert modular forms of half-integral weight. Zbl 0636.10024
Shimura, Goro
34
1987
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.
34
1963
On the zeta-function of an abelian variety with complex multiplication. Zbl 0242.14009
Shimura, Goro
34
1971
On Eisenstein series of half-integral weight. Zbl 0577.10025
Shimura, Goro
31
1985
The arithmetic of certain zeta functions and automorphic forms on orthogonal groups. Zbl 0438.12003
Shimura, Goro
31
1980
On the real points of an arithmetic quotient of a bounded symmetric domain. Zbl 0394.14007
Shimura, Goro
30
1975
On certain reciprocity-laws for theta functions and modular forms. Zbl 0402.10030
Shimura, Goro
29
1978
Correspondances modulaires et les fonctions \(\zeta\) de courbes algébriques. Zbl 0081.07603
Shimura, Gorô
29
1958
On the field of rationality for an Abelian variety. Zbl 0243.14012
Shimura, Goro
29
1972
Nearly holomorphic functions on Hermitian symmetric spaces. Zbl 0636.10023
Shimura, Goro
28
1987
On differential operators attached to certain representations of classical groups. Zbl 0558.10023
Shimura, Goro
26
1984
On a class of nearly holomorphic automorhic forms. Zbl 0593.10022
Shimura, Goro
26
1986
Elementary Dirichlet series and modular forms. Zbl 1148.11002
Shimura, Goro
25
2007
Reduction of algebraic varieties with respect to a discrete valuation of the basic field. Zbl 0065.36701
Shimura, Goro
25
1955
Differential operators, holomorphic projection, and singular forms. Zbl 0829.11029
Shimura, Goro
24
1994
Moduli and fibre systems of abelian varieties. Zbl 0141.37503
Shimura, G.
24
1966
The critical values of certain zeta functions associated with modular forms of half-integral weight. Zbl 0494.10018
Shimura, Goro
23
1981
Arithmetic of alternating forms and quaternion hermitian forms. Zbl 0121.28102
Shimura, Goro
23
1963
On the critical values of certain Dirichlet series and the periods of automorphic forms. Zbl 0656.10018
Shimura, Goro
22
1988
Invariant differential operators on Hermitian symmetric spaces. Zbl 0718.11020
Shimura, Goro
22
1990
On the derivatives of theta functions and modular forms. Zbl 0371.14023
Shimura, Goro
22
1977
The arithmetic of automorphic forms with respect to a unitary group. Zbl 0409.10016
Shimura, Goro
22
1978
Algebraic relations between critical values of zeta functions and inner products. Zbl 0518.10032
Shimura, Goro
21
1983
Theta functions with complex multiplication. Zbl 0371.14022
Shimura, Goro
21
1976
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
21
1981
Eisenstein series and zeta functions on symplectic groups. Zbl 0845.11020
Shimura, Goro
21
1995
Arithmetic and analytic theories of quadratic forms and Clifford groups. Zbl 1135.11018
Shimura, Goro
21
2004
On the Fourier coefficients of Hilbert modular forms of half-integral weight. Zbl 0802.11017
Shimura, Goro
20
1993
A reciprocity in law in non-solvable extensions. Zbl 0144.04204
Shimura, G.
20
1966
Arithmetic of differential operators on symmetric domains. Zbl 0487.10021
Shimura, Goro
19
1981
On the Eisenstein series of Hilbert modular groups. Zbl 0608.10028
Shimura, Goro
18
1985
The periods of certain automorphic forms of arithmetic type. Zbl 0499.10027
Shimura, Goro
18
1981
On the transformation formulas of theta series. Zbl 0802.11016
Shimura, Goro
18
1993
Algebraic number fields and symplectic discontinuous groups. Zbl 0205.50601
Shimura, G.
18
1967
Euler products and Fourier coefficients of automorphic forms on symplectic groups. Zbl 0811.11033
Shimura, Goro
17
1994
An exact mass formula for orthogonal groups. Zbl 1161.11325
Shimura, Goro
17
1999
On certain zeta functions attached to two Hilbert modular forms. I: The case of Hecke characters. Zbl 0468.10016
Shimura, Goro
16
1981
Arithmetic of quadratic forms. Zbl 1202.11026
Shimura, Goro
16
2010
On the field of definition for a field of automorphic functions. Zbl 0196.53203
Shimura, G.
16
1964
On canonical models of arithmetic quotients of bounded symmetric domains. II. Zbl 0237.14010
Shimura, Goro
16
1970
Differential operators and the singular values of Eisenstein series. Zbl 0546.10025
Shimura, Goro
15
1984
On purely transcendental fields of automorphic functions of several variables. Zbl 0149.04302
Shimura, G.
14
1964
On Dirichlet series and abelian varieties attached to automorphic forms. Zbl 0142.05501
Shimura, G.
13
1962
On the zeta-functions of the algebraic curves uniformized by certain automorphic functions. Zbl 0218.14013
Shimura, G.
13
1961
Convergence of zeta functions on symplectic and metaplectic groups. Zbl 0854.11028
Shimura, Goro
13
1996
On the theory of automorphic functions. Zbl 0101.05701
Shimura, Goro
13
1959
Modular forms: basics and beyond. Zbl 1234.11049
Shimura, Goro
12
2012
Some exact formulas on quaternion unitary groups. Zbl 0918.11027
Shimura, Goro
12
1999
On Abelian varieties with complex multiplications. Zbl 0445.14021
Shimura, Goro
10
1977
The critical values of certain Dirichlet series attached to Hilbert modular forms. Zbl 0752.11021
Shimura, Goro
10
1991
On the fundamental periods of automorphic forms of arithmetic type. Zbl 0712.11028
Shimura, Goro
9
1990
Discontinuous groups and abelian varieties. Zbl 0145.17401
Shimura, G.
9
1967
On the zeta function of a fibre variety whose fibres are abelian varieties. Zbl 0166.16801
Kuga, M.; Shimura, G.
9
1965
Automorphic functions and number theory. Zbl 0183.25402
Shimura, Goro
9
1968
Inhomogeneous quadratic forms and triangular numbers. Zbl 1047.11036
Shimura, Goro
9
2004
On vector differential forms attached to automorphic forms. Zbl 0097.28704
Kuga, Michio; Shimura, Goro
9
1960
The number of representations of an integer by a quadratic form. Zbl 1161.11326
Shimura, Goro
8
1999
The representation of integers as sums of squares. Zbl 1047.11035
Shimura, Goro
8
2002
Zeta functions and Eisenstein series on metaplectic groups. Zbl 0918.11028
Shimura, Goro
7
1995
On the trace formula for Hecke operators. Zbl 0285.10018
Shimura, Goro
7
1974
Algebraic varieties without deformation and the Chow variety. Zbl 0197.17202
Shimura, G.
6
1968
Integer-valued quadratic forms and quadratic Diophantine equations. Zbl 1116.11022
Shimura, Goro
6
2006
On the class-fields obtained by complex multiplication of abelian varieties. Zbl 0116.02903
Shimura, Goro
5
1962
On specializations of Abelian varieties. Zbl 0107.14801
Koizumi, Shoji; Shimura, Goro
5
1959
Classification, construction, and similitudes of quadratic forms. Zbl 1135.11019
Shimura, Goro
5
2006
On the field of definition for a field of automorphic functions. III. Zbl 0222.14027
Shimura, Goro
5
1966
The critical values of generalizations of the Hurwitz zeta function. Zbl 1246.11148
Shimura, Goro
4
2010
On the representation of zero by a linear combination of \(k\)-th powers. Zbl 0119.04405
Chowla, Sarvadaman; Shimura, Goro
4
1963
Generalized Bessel functions on symmetric spaces. Zbl 0978.33009
Shimura, Goro
4
1999
Quadratic Diophantine equations and orders in quaternion algebras. Zbl 1108.11086
Shimura, Goro
4
2006
Modular forms of half integral weight. Zbl 0268.10014
Shimura, Goro
4
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
4
1973
Zeta functions and Eisenstein series on classical groups. Zbl 0912.11021
Shimura, Goro
3
1997
Arithmetic of Hermitian forms. Zbl 1213.11090
Shimura, Goro
3
2008
Fractional and trigonometric expressions for matrices. Zbl 0836.15004
Shimura, Goro
3
1994
Collected papers. II: 1967–1977. Reprint of the 2002 hardback edition. Zbl 1347.01023
Shimura, Goro
1
2014
Modular forms: basics and beyond. Zbl 1234.11049
Shimura, Goro
12
2012
Arithmetic of quadratic forms. Zbl 1202.11026
Shimura, Goro
16
2010
The critical values of generalizations of the Hurwitz zeta function. Zbl 1246.11148
Shimura, Goro
4
2010
Arithmetic of Hermitian forms. Zbl 1213.11090
Shimura, Goro
3
2008
The critical values of certain Dirichlet series. Zbl 1196.11072
Shimura, Goro
2
2008
Elementary Dirichlet series and modular forms. Zbl 1148.11002
Shimura, Goro
25
2007
Integer-valued quadratic forms and quadratic Diophantine equations. Zbl 1116.11022
Shimura, Goro
6
2006
Classification, construction, and similitudes of quadratic forms. Zbl 1135.11019
Shimura, Goro
5
2006
Quadratic Diophantine equations and orders in quaternion algebras. Zbl 1108.11086
Shimura, Goro
4
2006
Quadratic Diophantine equations, the class number, and the mass formula. Zbl 1108.11034
Shimura, Goro
3
2006
Arithmetic and analytic theories of quadratic forms and Clifford groups. Zbl 1135.11018
Shimura, Goro
21
2004
Inhomogeneous quadratic forms and triangular numbers. Zbl 1047.11036
Shimura, Goro
9
2004
Collected papers. III: 1978–1988. Zbl 1037.01012
Shimura, Goro
1
2003
The representation of integers as sums of squares. Zbl 1047.11035
Shimura, Goro
8
2002
Collected papers. II: 1967–1977. Zbl 1037.01011
Shimura, Goro
2
2002
Arithmeticity in the theory of automorphic forms. Zbl 0967.11001
Shimura, Goro
73
2000
An exact mass formula for orthogonal groups. Zbl 1161.11325
Shimura, Goro
17
1999
Some exact formulas on quaternion unitary groups. Zbl 0918.11027
Shimura, Goro
12
1999
The number of representations of an integer by a quadratic form. Zbl 1161.11326
Shimura, Goro
8
1999
Generalized Bessel functions on symmetric spaces. Zbl 0978.33009
Shimura, Goro
4
1999
Abelian varieties with complex multiplication and modular functions. Zbl 0908.11023
Shimura, Goro
97
1998
Euler products and Eisenstein series. Zbl 0906.11020
Shimura, Goro
63
1997
Zeta functions and Eisenstein series on classical groups. Zbl 0912.11021
Shimura, Goro
3
1997
Convergence of zeta functions on symplectic and metaplectic groups. Zbl 0854.11028
Shimura, Goro
13
1996
Eisenstein series and zeta functions on symplectic groups. Zbl 0845.11020
Shimura, Goro
21
1995
Zeta functions and Eisenstein series on metaplectic groups. Zbl 0918.11028
Shimura, Goro
7
1995
Introduction to the arithmetic theory of automorphic functions. Repr. of the 1971 orig. Zbl 0872.11023
Shimura, Goro
201
1994
Differential operators, holomorphic projection, and singular forms. Zbl 0829.11029
Shimura, Goro
24
1994
Euler products and Fourier coefficients of automorphic forms on symplectic groups. Zbl 0811.11033
Shimura, Goro
17
1994
Fractional and trigonometric expressions for matrices. Zbl 0836.15004
Shimura, Goro
3
1994
On the Fourier coefficients of Hilbert modular forms of half-integral weight. Zbl 0802.11017
Shimura, Goro
20
1993
On the transformation formulas of theta series. Zbl 0802.11016
Shimura, Goro
18
1993
The critical values of certain Dirichlet series attached to Hilbert modular forms. Zbl 0752.11021
Shimura, Goro
10
1991
Invariant differential operators on Hermitian symmetric spaces. Zbl 0718.11020
Shimura, Goro
22
1990
On the fundamental periods of automorphic forms of arithmetic type. Zbl 0712.11028
Shimura, Goro
9
1990
Yutaka Taniyama and his time. Zbl 0667.01020
Shimura, Goro
2
1989
On the critical values of certain Dirichlet series and the periods of automorphic forms. Zbl 0656.10018
Shimura, Goro
22
1988
On Hilbert modular forms of half-integral weight. Zbl 0636.10024
Shimura, Goro
34
1987
Nearly holomorphic functions on Hermitian symmetric spaces. Zbl 0636.10023
Shimura, Goro
28
1987
On a class of nearly holomorphic automorhic forms. Zbl 0593.10022
Shimura, Goro
26
1986
On Eisenstein series of half-integral weight. Zbl 0577.10025
Shimura, Goro
31
1985
On the Eisenstein series of Hilbert modular groups. Zbl 0608.10028
Shimura, Goro
18
1985
On differential operators attached to certain representations of classical groups. Zbl 0558.10023
Shimura, Goro
26
1984
Differential operators and the singular values of Eisenstein series. Zbl 0546.10025
Shimura, Goro
15
1984
On Eisenstein series. Zbl 0519.10019
Shimura, Goro
94
1983
Algebraic relations between critical values of zeta functions and inner products. Zbl 0518.10032
Shimura, Goro
21
1983
Confluent hypergeometric functions on tube domains. Zbl 0502.10013
Shimura, Goro
81
1982
Models of an abelian variety with complex multiplication over small fields. Zbl 0505.14037
Shimura, Goro
1
1982
The critical values of certain zeta functions associated with modular forms of half-integral weight. Zbl 0494.10018
Shimura, Goro
23
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
21
1981
Arithmetic of differential operators on symmetric domains. Zbl 0487.10021
Shimura, Goro
19
1981
The periods of certain automorphic forms of arithmetic type. Zbl 0499.10027
Shimura, Goro
18
1981
On certain zeta functions attached to two Hilbert modular forms. I: The case of Hecke characters. Zbl 0468.10016
Shimura, Goro
16
1981
Corrections to ”The special values of the zeta functions associated with Hilbert modular forms”. Zbl 0464.10016
Shimura, Goro
2
1981
The arithmetic of certain zeta functions and automorphic forms on orthogonal groups. Zbl 0438.12003
Shimura, Goro
31
1980
On some problems of algebraicity. Zbl 0439.10018
Shimura, Goro
2
1980
The periods of Abelian varieties with complex multiplication and the spectral values of certain zeta functions. Zbl 0458.14016
Shimura, Goro
1
1980
Automorphic forms and the periods of abelian varieties. Zbl 0456.10015
Shimura, Goro
35
1979
The special values of the zeta functions associated with Hilbert modular forms. Zbl 0394.10015
Shimura, Goro
143
1978
On certain reciprocity-laws for theta functions and modular forms. Zbl 0402.10030
Shimura, Goro
29
1978
The arithmetic of automorphic forms with respect to a unitary group. Zbl 0409.10016
Shimura, Goro
22
1978
On the periods of modular forms. Zbl 0363.10019
Shimura, Goro
93
1977
On the derivatives of theta functions and modular forms. Zbl 0371.14023
Shimura, Goro
22
1977
On Abelian varieties with complex multiplications. Zbl 0445.14021
Shimura, Goro
10
1977
The special values of the zeta functions associated with cusp forms. Zbl 0348.10015
Shimura, Goro
171
1976
Theta functions with complex multiplication. Zbl 0371.14022
Shimura, Goro
21
1976
On the holomorphy of certain Dirichlet series. Zbl 0311.10029
Shimura, Goro
159
1975
On some arithmetic properties of modular forms of one and several variables. Zbl 0327.10028
Shimura, Goro
65
1975
On the Fourier coefficients of modular forms of several variables. Zbl 0332.32024
Shimura, Goro
40
1975
On the real points of an arithmetic quotient of a bounded symmetric domain. Zbl 0394.14007
Shimura, Goro
30
1975
On the trace formula for Hecke operators. Zbl 0285.10018
Shimura, Goro
7
1974
On modular forms of half integral weight. Zbl 0266.10022
Shimura, Goro
467
1973
On the factors of the Jacobian variety of a modular function field. Zbl 0266.14017
Shimura, Goro
44
1973
Modular forms of half integral weight. Zbl 0268.10014
Shimura, Goro
4
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
4
1973
Complex multiplication. Notes by Willem Kuyk. Zbl 0268.10015
Shimura, Goro
3
1973
Class fields over real quadratic fields and Hecke operators. Zbl 0255.10032
Shimura, Goro
41
1972
On the field of rationality for an Abelian variety. Zbl 0243.14012
Shimura, Goro
29
1972
Introduction to the arithmetic theory of automorphic functions. Zbl 0221.10029
Shimura, Goro
783
1971
On elliptic curves with complex multiplication as factors of the Jacobians of modular function fields. Zbl 0225.14015
Shimura, Goro
67
1971
On the zeta-function of an abelian variety with complex multiplication. Zbl 0242.14009
Shimura, Goro
34
1971
Class fields over real quadratic fields in the theory of modular functions. Zbl 0255.10031
Shimura, Goro
2
1971
On canonical models of arithmetic quotients of bounded symmetric domains. Zbl 0237.14009
Shimura, Goro
52
1970
On canonical models of arithmetic quotients of bounded symmetric domains. II. Zbl 0237.14010
Shimura, Goro
16
1970
Automorphic functions and number theory. Zbl 0183.25402
Shimura, Goro
9
1968
Algebraic varieties without deformation and the Chow variety. Zbl 0197.17202
Shimura, G.
6
1968
Number fields and zeta functions associated with discontinuous groups and algebraic varieties. Zbl 0226.14012
Shimura, Goro
1
1968
Construction of class fields and zeta functions of algebraic curves. Zbl 0204.07201
Shimura, G.
77
1967
Algebraic number fields and symplectic discontinuous groups. Zbl 0205.50601
Shimura, G.
18
1967
Discontinuous groups and abelian varieties. Zbl 0145.17401
Shimura, G.
9
1967
Moduli and fibre systems of abelian varieties. Zbl 0141.37503
Shimura, G.
24
1966
A reciprocity in law in non-solvable extensions. Zbl 0144.04204
Shimura, G.
20
1966
On the field of definition for a field of automorphic functions. III. Zbl 0222.14027
Shimura, Goro
5
1966
Moduli of abelian varieties and number theory. Zbl 0167.19101
Shimura, G.
3
1966
On the zeta function of a fibre variety whose fibres are abelian varieties. Zbl 0166.16801
Kuga, M.; Shimura, G.
9
1965
On the field of definition for a field of automorphic functions. II. Zbl 0222.14026
Shimura, Goro
2
1965
Arithmetic of unitary groups. Zbl 0144.29504
Shimura, G.
56
1964
On the field of definition for a field of automorphic functions. Zbl 0196.53203
Shimura, G.
16
1964
On purely transcendental fields of automorphic functions of several variables. Zbl 0149.04302
Shimura, G.
14
1964
...and 21 more Documents
all top 5

Cited by 2,020 Authors

43 Koo, Jakyung
30 Bringmann, Kathrin
30 Ono, Ken
30 Shimura, Goro
28 Kohnen, Winfried
27 Hida, Haruzo
26 Shin, Dong Hwa
25 Böcherer, Siegfried
21 Katsurada, Hidenori
20 Kim, Chang Heon
20 Mizumoto, Shin-ichiro
19 Ibukiyama, Tomoyoshi
18 Nagaoka, Shoyu
17 Bruinier, Jan Hendrik
16 Ash, Avner
16 Kane, Ben
15 Kojima, Hisashi
15 Zarkhin, Yuriĭ Gennad’evich
14 Choie, YoungJu
14 Folsom, Amanda L.
14 Guerzhoy, Pavel I.
14 Panchishkin, Alexei A.
14 Silverberg, Alice
14 Yoon, Dong Sung
13 Dummigan, Neil
13 Gross, Benedict Hyman
13 Jung, Ho Yun
13 Kudla, Stephen S.
13 Yamana, Shunsuke
13 Yang, Tonghai
12 Duke, William Drexel
12 Mazur, Barry
12 Pitale, Ameya
12 Rubin, Karl Cooper
12 Voight, John Michael
12 Yang, Yifan
11 Choi, Dohoon
11 Fomenko, Oleg Mstislavovich
11 Heim, Bernhard Ernst
11 Raji, Wissam
11 Raum, Martin
10 Cho, Bumkyu
10 Harris, Michael Howard
10 Lauter, Kristin Estella
10 Li, Wen-Ch’ing Winnie
10 Long, Ling
10 Ribet, Kenneth Alan
10 Saha, Abhishek
10 Zhang, Genkai
9 Brown, Jim L.
9 Dembélé, Lassina
9 Friedberg, Solomon
9 Gritsenko, Valeriĭ Alekseevich
9 Hidalgo, Rubén Antonio
9 Krieg, Aloys
9 Li, Yingkun
9 Lim, Subong
9 Mizuno, Yoshinori
9 Murty, Maruti Ram
9 Park, Yoon Kyung
9 Ramakrishnan, Balakrishnan
9 Rolen, Larry
9 Schulze-Pillot, Rainer
9 Tilouine, Jacques
8 Arai, Keisuke
8 Bouganis, Thanasis
8 Burungale, Ashay A.
8 Gelbart, Stephen S.
8 Goren, Eyal Z.
8 Hashimoto, Ki-ichiro
8 Hatada, Kazuyuki
8 Hoffstein, Jeffrey
8 Ikeda, Tamotsu
8 Iwaniec, Henryk
8 Jorgenson, Jay Alan
8 Murabayashi, Naoki
8 Oort, Frans
8 Rohrlich, David E.
8 Rotger, Victor
8 Sarnak, Peter Clive
8 Schimmrigk, Rolf
8 Tretkoff, Paula
7 Abdulali, Salman
7 Chen, Shih-Yu
7 Choi, Soyoung
7 Darmon, Henri René
7 Das, Soumya
7 Diamantis, Nikolaos
7 Duncan, John F. R.
7 Eischen, Ellen Elizabeth
7 González, Josep R.
7 Hamieh, Alia
7 Komatsu, Keiichi
7 Lang, Serge
7 Lee, Yoonjin
7 Longo, Matteo
7 Manickam, Murugesan
7 Murty, Vijaya Kumar
7 O’Sullivan, Cormac
7 Schmidt, Ralf
...and 1,920 more Authors
all top 5

Cited in 226 Serials

271 Journal of Number Theory
154 Mathematische Annalen
145 Inventiones Mathematicae
107 Duke Mathematical Journal
94 The Ramanujan Journal
90 Compositio Mathematica
88 International Journal of Number Theory
86 Transactions of the American Mathematical Society
81 Mathematische Zeitschrift
68 Proceedings of the American Mathematical Society
62 Nagoya Mathematical Journal
59 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
59 Journal of Algebra
51 Proceedings of the Japan Academy. Series A
50 Mathematics of Computation
50 Manuscripta Mathematica
49 Journal de Théorie des Nombres de Bordeaux
46 Annales de l’Institut Fourier
39 Advances in Mathematics
39 Research in Number Theory
30 Acta Arithmetica
30 Archiv der Mathematik
30 Experimental Mathematics
29 Israel Journal of Mathematics
29 Journal für die Reine und Angewandte Mathematik
28 Tôhoku Mathematical Journal. Second Series
28 Research in the Mathematical Sciences
25 Journal of Pure and Applied Algebra
24 Bulletin of the American Mathematical Society. New Series
21 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
21 Journal of Soviet Mathematics
21 Algebra & Number Theory
20 Journal of Mathematical Analysis and Applications
20 Annals of Mathematics. Second Series
19 Forum Mathematicum
18 Journal of Mathematical Sciences (New York)
17 Mathematical Proceedings of the Cambridge Philosophical Society
16 Journal of Functional Analysis
16 LMS Journal of Computation and Mathematics
15 Journal of the Mathematical Society of Japan
15 Journal of the American Mathematical Society
15 Annales Mathématiques du Québec
14 International Journal of Mathematics
13 Rocky Mountain Journal of Mathematics
13 Mathematika
13 Memoirs of the American Mathematical Society
11 Bulletin de la Société Mathématique de France
11 Functiones et Approximatio. Commentarii Mathematici
11 Journal of High Energy Physics
11 Journal of the Institute of Mathematics of Jussieu
11 Forum of Mathematics, Sigma
10 Communications in Mathematical Physics
10 Glasgow Mathematical Journal
10 Publications Mathématiques
10 Journal of the London Mathematical Society. Second Series
10 Pacific Journal of Mathematics
9 Geometriae Dedicata
9 Monatshefte für Mathematik
9 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Journal of Geometry and Physics
8 Finite Fields and their Applications
8 Bulletin of the American Mathematical Society
8 Kyoto Journal of Mathematics
7 Bulletin of the Australian Mathematical Society
7 Bulletin of the London Mathematical Society
7 Results in Mathematics
7 Tokyo Journal of Mathematics
7 Documenta Mathematica
7 Journal of the European Mathematical Society (JEMS)
7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
7 Proceedings of the Japan Academy
6 Communications in Algebra
6 Mathematische Nachrichten
6 Publications of the Research Institute for Mathematical Sciences, Kyoto University
6 Journal of the Ramanujan Mathematical Society
6 Mémoires de la Société Mathématique de France. Nouvelle Série
6 Open Mathematics
5 Lithuanian Mathematical Journal
5 Nuclear Physics. B
5 Acta Mathematica
5 Canadian Journal of Mathematics
5 Functional Analysis and its Applications
5 Kodai Mathematical Journal
5 Michigan Mathematical Journal
5 Geometric and Functional Analysis. GAFA
5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
5 Representation Theory
5 Journal of the Australian Mathematical Society
5 Science China. Mathematics
4 Mathematical Notes
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 Kyushu Journal of Mathematics
4 Selecta Mathematica. New Series
4 Geometry & Topology
4 Acta Mathematica Sinica. English Series
...and 126 more Serials
all top 5

Cited in 48 Fields

2,451 Number theory (11-XX)
833 Algebraic geometry (14-XX)
131 Group theory and generalizations (20-XX)
130 Topological groups, Lie groups (22-XX)
96 Several complex variables and analytic spaces (32-XX)
81 Functions of a complex variable (30-XX)
67 Special functions (33-XX)
43 Nonassociative rings and algebras (17-XX)
41 Global analysis, analysis on manifolds (58-XX)
40 Field theory and polynomials (12-XX)
38 Quantum theory (81-XX)
34 Combinatorics (05-XX)
28 Differential geometry (53-XX)
27 Associative rings and algebras (16-XX)
26 Manifolds and cell complexes (57-XX)
17 Commutative algebra (13-XX)
17 \(K\)-theory (19-XX)
17 Abstract harmonic analysis (43-XX)
14 Dynamical systems and ergodic theory (37-XX)
14 Relativity and gravitational theory (83-XX)
13 Information and communication theory, circuits (94-XX)
12 Ordinary differential equations (34-XX)
12 Functional analysis (46-XX)
11 Algebraic topology (55-XX)
11 Computer science (68-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
7 Geometry (51-XX)
7 Statistical mechanics, structure of matter (82-XX)
6 History and biography (01-XX)
6 Mathematical logic and foundations (03-XX)
6 Category theory; homological algebra (18-XX)
6 Partial differential equations (35-XX)
6 Operator theory (47-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Integral transforms, operational calculus (44-XX)
4 Convex and discrete geometry (52-XX)
2 General and overarching topics; collections (00-XX)
2 Real functions (26-XX)
2 Measure and integration (28-XX)
2 Sequences, series, summability (40-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 General topology (54-XX)
1 Numerical analysis (65-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year

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