p-adic Eisenstein-Kronecker series for CM elliptic curves and the Kronecker limit formulas
DOI10.1215/00277630-2891995zbMath1336.11050arXiv0807.4007OpenAlexW2952345417MaRDI QIDQ3458671
Kenichi Bannai, Hidekazu Furusho, Shin-ichi Kobayashi
Publication date: 21 December 2015
Published in: Nagoya Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0807.4007
Eisenstein-Kronecker seriesCM elliptic curvesKronecker limit formulaColeman's \(p\)-adic integrationEisenstein-Kronecker-Lerch series
Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Complex multiplication and moduli of abelian varieties (11G15) Polylogarithms and relations with (K)-theory (11G55) (p)-adic cohomology, crystalline cohomology (14F30) Elliptic curves over local fields (11G07)
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