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On Dirichlet series and abelian varieties attached to automorphic forms

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Publication:2522731
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DOI10.2307/1970275zbMath0142.05501OpenAlexW2033609093MaRDI QIDQ2522731

Goro Shimura

Publication date: 1962

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1970275

zbMATH Keywords

modular functions, automorphic functions, almost periodic functions



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Converse theorems for \(\text{GL}_n\), Elliptic modular surfaces, I, On the critical values of certain Dirichlet series and the periods of automorphic forms, Applications of the theory of modular forms to number theory, A multicomplex Riemann zeta function, Automorphic forms and algebraic extensions of number fields, Automorphic forms, definite quaternion algebras, and Atkin-Lehner theory on trees, \(p\)-ordinary cohomology groups for \(\text{SL}(2)\) over number fields, Arithmetic on algebraic varieties, Monodromy groups and Poincaré series, On the functional equation of certain Dirichlet series, Arithmetic properties of the Shimura-Shintani-Waldspurger correspondence. With an appendix by Brian Conrad., Correspondences on hyperbolic curves



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