The periods of abelian varieties with complex multiplication and the spectral values of certain zeta functions

DOI10.24033/msmf.286zbMath0458.14016OpenAlexW2585505933MaRDI QIDQ3907679

Goro Shimura

Publication date: 1980

Published in: Mémoires de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=MSMF_1980_2_2__103_0

zbMATH Keywords

complex multiplicationCM-typeCM-fieldvalues of zeta functionsperiods of Abelian varieties

Mathematics Subject Classification ID

Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Complex multiplication and moduli of abelian varieties (11G15) Complex multiplication and abelian varieties (14K22)

Related Items

Cycles de Hodge absolus et périodes des intégrales des variétés abéliennes. (Rédigé par J. L. Brylinski)

Cites Work

• The arithmetic of certain zeta functions and automorphic forms on orthogonal groups
• Automorphic forms and the periods of abelian varieties
• On some arithmetic properties of modular forms of one and several variables
• On the derivatives of theta functions and modular forms