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Automorphic functions and number theory

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Publication:2535500
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DOI10.1007/BFb0071097zbMath0183.25402OpenAlexW2486937039MaRDI QIDQ2535500

Goro Shimura

Publication date: 1968

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bfb0071097

zbMATH Keywords

algebraic geometry


Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Other abelian and metabelian extensions (11R20)


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Galois representations into \(\text{GL}_2(\mathbb Z_pX)\) attached to ordinary cusp forms., Modular forms in characteristic \(\ell\) and special values of their \(L\)-functions, On holomorphic theta functions associated with rank \(r\) isotropic discrete subgroups, Applications of the theory of modular forms to number theory, On congruence divisors of cusp forms as factors of the special values of their zeta functions, Lie algebras and higher torsion in \(p\)-groups, A note on Hilbert class fields of algebraic number fields, Modular symbols of arbitrary weight, Arithmetic on algebraic varieties



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