SU\G(𝔸)/K·U

On the zeta-functions of the algebraic curves uniformized by certain automorphic functions

Goro Shimura

Type: Article

Publication Date: 1961-07-01

Citations: 57

DOI: https://doi.org/10.2969/jmsj/01330275

Abstract

On the zeta-functions of the algebraic curves uniformized by certain automorphic functions

Locations

  • Journal of the Mathematical Society of Japan - View - PDF

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Works That Cite This (56)

Action Title Year Authors
+ Arithmetic on algebraic varieties 1973 A. N. Parshin
+ Construction of class fields and zeta functions of algebraic curves 2002 Goro Shimura
+ PDF Chat Applications of the theory of modular forms to number theory 1980 O. M. Fomenko
+ On purely transcendental fields of automorphic functions of several variables 2002 Goro Shimura
+ On QM-abelian surfaces with model of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi>GL</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math>-type over <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:mi mathvariant="double-struck">Q</mml:mi></mml:math> 2005 Naoki Murabayashi
+ PDF Chat A Note on Good Reduction of Simple Abelian Varieties 1977 C. Adimoolam
+ On analytic families of polarized abelian varieties and automorphic functions 2002 Goro Shimura
+ PDF Chat SOME STUDIES ON ARITHMETICAL CHAOS IN CLASSICAL AND QUANTUM MECHANICS 1993 Jens Bolte
+ On modular correspondences for Sρ(n, Z) and their congruence relations 2002 Goro Shimura
+ Class-fields and Automorphic Functions 1964 Goro Shimura

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+ PDF Chat Sur les int\'egrales attach\'ees aux formes automorphes. 1959 Par Goro SHIMURA
+ Complex multiplication of Abelian varieties and its applications to number theory 1961 五郎 志村
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+ Variétés abéliennes et courbes algébriques 1948 André Weil
+ PDF Chat Adeles and Algebraic Groups 1982 André Weil
+ Groupes algébriques et corps de classes 1997 Jean Pierre Serre
+ Eine Verallgemeinerung der Abelschen Integrale 1957 Martin Eichler
+ Quaternäre quadratische Formen und die Riemannsche Vermutung fÜr die Kongruenzzetafunktion 1954 Martin Eichler
+ PDF Chat Abelian varieties over function fields 1955 Wei-Liang Chow
+ PDF Chat Correspondances modulaires et les fonctions $\zeta$ de courbes alg\'ebriques. 1958 Par Goro SHIMURA
+ Über die Bestimmung Dirichletscher Reihen durch ihre Funktionalgleichung 1936 E. Hecke