scientific article

zbMath0501.14025MaRDI QIDQ3966275

Greg W. Anderson

Publication date: 1982

Full work available at URL: http://www.numdam.org/item?id=CM_1982__45_3_315_0

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zbMATH Keywords

logarithmic derivativesperiod distributionp-adic L-serieslimit formulas for L- serieslinear combinations of Dirichlet charactersperiods of CM-varietiesperiods of Fermat curves

Mathematics Subject Classification ID

Elliptic curves (14H52) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Local ground fields in algebraic geometry (14G20) (p)-adic theory, local fields (11F85) Complex multiplication and moduli of abelian varieties (11G15) Zeta functions and (L)-functions of number fields (11R42) Complex multiplication and abelian varieties (14K22) Zeta functions and (L)-functions (11S40)

Related Items (8)

On the averaged Colmez conjecture ⋮ Periods of Hodge structures and special values of the gamma function ⋮ Product formulas for periods of CM abelian varieties and the function field analog ⋮ The Chowla–Selberg formula for abelian CM fields and Faltings heights ⋮ On \(p\)-adic absolute CM-periods. II ⋮ The hyperadelic gamma function ⋮ Units and class groups in number theory and algebraic geometry ⋮ Herleitung der Chowla-Selberg-Formel aus Shimura'schen Periodenrelationen. (Derivation of the Chowla-Selberg-formula from Shimura's period relations)

Cites Work

• On the periods of Abelian integrals and a formula of Chowla and Selberg. With an appendix by David E. Rohrlich
• On the behavior of \(p\)-adic \(L\)-functions at \(s=0\)
• Automorphic forms and the periods of abelian varieties
• Gauss sums and the p-adic \(\Gamma\)-function
• Über das Verhalten der Integrale 1. Gattung bei Automorphismen des Funktionenkörpers
• Isogeny classes of abelian varieties over finite fields
• p-Adic Gamma Functions and Dwork Cohomology
• Sur les Périodes des Intégrales Abéliennes

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