Periods and special values of the hypergeometric series

DOI10.1017/S0305004100068122zbMath0695.10031MaRDI QIDQ3470545

Matthias Flach

Publication date: 1989

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

hypergeometric seriesKummer extensionalgebraic valuestranscendental valuescomplex multiplication of abelian varieties

Mathematics Subject Classification ID

Complex multiplication and moduli of abelian varieties (11G15) Complex multiplication and abelian varieties (14K22) Transcendence (general theory) (11J81)

Related Items (2)

Exceptional sets of hypergeometric series. ⋮ Quaternionic modular forms and exceptional sets of hypergeometric functions

Cites Work

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• Arithmetik Abelscher Varietäten mit komplexer Multiplikation
• Herleitung der Chowla-Selberg-Formel aus Shimura'schen Periodenrelationen. (Derivation of the Chowla-Selberg-formula from Shimura's period relations)
• Values of hypergeometric functions
• Periods of Hecke characters
• Desingularization of two-dimensional schemes
• On analytic families of polarized abelian varieties and automorphic functions
• Good reduction of abelian varieties
• Construction of class fields and zeta functions of algebraic curves
• Spécialisation du foncteur de Picard

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