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Goro Shimura - Publications

Affiliations: 
Mathematics Princeton University, Princeton, NJ 
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48 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2008 Shimura G. Classification of integer-valued symmetric forms American Journal of Mathematics. 130: 685-711. DOI: 10.1353/Ajm.0.0002  0.334
2006 Shimura G. Classification, construction, and similitudes of quadratic forms American Journal of Mathematics. 128: 1521-1552. DOI: 10.1353/Ajm.2006.0048  0.387
2006 Shimura G. Quadratic diophantine equations and orders in quaternion algebras American Journal of Mathematics. 128: 481-518. DOI: 10.1353/Ajm.2006.0016  0.347
2004 Shimura G. Inhomogeneous quadratic forms and triangular numbers American Journal of Mathematics. 126: 191-214. DOI: 10.1353/Ajm.2004.0007  0.37
1999 Shimura G. Some exact formulas on quaternion unitary groups Journal Fur Die Reine Und Angewandte Mathematik. 509: 67-102. DOI: 10.1515/Crll.1999.509.67  0.334
1999 Shimura G. Generalized bessel functions on symmetric spaces Journal Fur Die Reine Und Angewandte Mathematik. 509: 35-66. DOI: 10.1515/Crll.1999.509.35  0.321
1999 Shimura G. The number of representations of an integer by a quadratic form Duke Mathematical Journal. 100: 59-92. DOI: 10.1215/S0012-7094-99-10002-0  0.337
1997 Shimura G. Zeta functions and Eisenstein series on classical groups. Proceedings of the National Academy of Sciences of the United States of America. 94: 11133-7. PMID 11607757 DOI: 10.1073/Pnas.94.21.11133  0.403
1996 Shimura G. Convergence of zeta functions on symplectic and metaplectic groups Duke Mathematical Journal. 82: 327-347. DOI: 10.1215/S0012-7094-96-08215-0  0.341
1995 Shimura G. Zeta functions and Eisenstein series on metaplectic groups Inventiones Mathematicae. 121: 21-60. DOI: 10.1007/Bf01884289  0.35
1995 Shimura G. Eisenstein series and zeta functions on symplectic groups Inventiones Mathematicae. 119: 539-584. DOI: 10.1007/Bf01245192  0.351
1994 Shimura G. Euler products and Fourier coefficients of automorphic forms on symplectic groups Inventiones Mathematicae. 116: 531-576. DOI: 10.1007/Bf01231572  0.311
1993 Shimura G. On The Transformation Formulas Of Theta Series American Journal of Mathematics. 115: 1011. DOI: 10.2307/2375064  0.345
1991 Shimura G. The critical values of certain Dirichlet series attached to Hilbert modular forms Duke Mathematical Journal. 63: 557-613. DOI: 10.1215/S0012-7094-91-06324-6  0.34
1990 Shimura G. Invariant differential operators on hermitian symmetric spaces Annals of Mathematics. 132: 237-272. DOI: 10.2307/1971523  0.34
1990 Shimura G. On the fundamental periods of automorphic forms of arithmetic type Inventiones Mathematicae. 102: 399-428. DOI: 10.1007/Bf01233433  0.348
1988 Shimura G. On the critical values of certain Dirichlet series and the periods of automorphic forms Inventiones Mathematicae. 94: 245-305. DOI: 10.1007/Bf01394326  0.323
1987 Shimura G. Nearly holomorphic functions on hermitian symmetric spaces Mathematische Annalen. 278: 1-28. DOI: 10.1007/Bf01458058  0.321
1986 Shimura G. On a class of nearly holomorphic automorphic forms Annals of Mathematics. 123: 347-406. DOI: 10.2307/1971276  0.3
1985 Shimura G. On the Eisenstein Series of Hilbert Modular Groups. Revista Matematica Iberoamericana. 1: 1-42. DOI: 10.4171/Rmi/13  0.314
1983 Shimura G. Algebraic Relations Between Critical Values of Zeta Functions and Inner Products American Journal of Mathematics. 105: 253. DOI: 10.2307/2374388  0.335
1982 Shimura G. Models of an abelian variety with complex multiplication over small fields Journal of Number Theory. 15: 25-35. DOI: 10.1016/0022-314X(82)90081-6  0.335
1981 Shimura G. The critical values of certain zeta functions associated with modular forms of half-integral weight Journal of the Mathematical Society of Japan. 33: 649-672. DOI: 10.2969/Jmsj/03340649  0.343
1981 Shimura G. On Certain Zeta Functions Attached to Two Hilbert Modular Forms: I. The Case of Hecke Characters Annals of Mathematics. 114: 127. DOI: 10.2307/1971381  0.356
1981 Shimura G. On certain zeta functions attached to two Hilbert modular forms II. The case of automorphic forms on a quaternion algebra Annals of Mathematics. 114: 569. DOI: 10.2307/1971302  0.385
1981 Shimura G. Corrections to “The special values of the zeta functions associated with Hilbert modular forms,” Vol. 45 (1978), 637–679 Duke Mathematical Journal. 48: 697-697. DOI: 10.1215/S0012-7094-81-04838-9  0.35
1980 Shimura G. The Arithmetic of Certain Zeta Functions and Automorphic Forms on Orthogonal Groups Annals of Mathematics. 111: 313. DOI: 10.2307/1971202  0.336
1979 Shimura G. Automorphic forms and the periods of abelian varieties Journal of the Mathematical Society of Japan. 31: 561-592. DOI: 10.2969/Jmsj/03130561  0.314
1978 Shimura G. The arithmetic of automorphic forms with respect to a unitary group Annals of Mathematics. 107: 569. DOI: 10.2307/1971129  0.404
1978 Shimura G. The special values of the zeta functions associated with Hilbert modular forms Duke Mathematical Journal. 45: 637-679. DOI: 10.1215/S0012-7094-78-04529-5  0.366
1978 Shimura G. On certain reciprocity-laws for theta functions and modular forms Acta Mathematica. 141: 35-71. DOI: 10.1007/Bf02545742  0.344
1977 Shimura G. On the derivatives of theta functions and modular forms Duke Mathematical Journal. 44: 365-387. DOI: 10.1215/S0012-7094-77-04416-7  0.359
1976 Shimura G. The special values of the zeta functions associated with cusp forms Communications On Pure and Applied Mathematics. 29: 783-804. DOI: 10.1002/Cpa.3160290618  0.352
1975 Shimura G. On some arithmetic properties of modular forms of one and several variables Annals of Mathematics. 102: 491. DOI: 10.2307/1971041  0.372
1973 Shimura G. On the factors of the jacobian variety of a modular function field Journal of the Mathematical Society of Japan. 25: 523-544. DOI: 10.2969/Jmsj/02530523  0.308
1973 Shimura G. On Modular Forms of Half Integral Weight Annals of Mathematics. 97: 440. DOI: 10.2307/1970831  0.38
1971 Shimura G. On the Zeta-Function of an Abelian Variety with Complex Multiplication Annals of Mathematics. 94: 132-150. DOI: 10.1515/9781400883943-008  0.31
1971 Shimura G. On Elliptic Curves with Complex Multiplication as Factors of the Jacobians of Modular Function Fields Nagoya Mathematical Journal. 43: 199-208. DOI: 10.1017/S0027763000014471  0.369
1969 Shimura G. Local Representations of Galois Groups Annals of Mathematics. 89: 99. DOI: 10.2307/1970811  0.379
1967 Shimura G. Algebraic Number Fields and Symplectic Discontinuous Groups Annals of Mathematics. 86: 503. DOI: 10.2307/1970613  0.355
1967 Shimura G. Construction of Class Fields and Zeta Functions of Algebraic Curves Annals of Mathematics. 85: 58. DOI: 10.2307/1970526  0.373
1964 Shimura G. Class-fields and Automorphic Functions Annals of Mathematics. 80: 444. DOI: 10.2307/1970658  0.328
1964 Shimura G. Arithmetic Of Unitary Groups Annals of Mathematics. 79: 369. DOI: 10.2307/1970551  0.353
1964 Shimura G. On the Field of Definition for a Field of Automorphic Functions: III Annals of Mathematics. 80: 124. DOI: 10.2307/1970388  0.335
1963 Matsushima Y, Shimura G. On the Cohomology Groups Attached to Certain Vector Valued Differential Forms on the Product of the Upper Half Planes Annals of Mathematics. 78: 417. DOI: 10.2307/1970534  0.344
1962 Shimura G. On Dirichlet Series And Abelian Varieties Attached To Automorphic Forms Annals of Mathematics. 76: 237. DOI: 10.2307/1970275  0.403
1959 Shimura G. On The Theory Of Automorphic Functions Annals of Mathematics. 70: 101. DOI: 10.2307/1969894  0.401
1955 Shimura G. Reduction Of Algebraic Varieties With Respect To A Discrete Valuation Of The Basic Field. American Journal of Mathematics. 77: 134. DOI: 10.2307/2372425  0.326
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