Algebraic theta functions and Eisenstein-Kronecker numbers

zbMath1159.11048arXiv0709.0640MaRDI QIDQ5455160

Kenichi Bannai, Shin-ichi Kobayashi

Publication date: 3 April 2008

Full work available at URL: https://arxiv.org/abs/0709.0640

zbMATH Keywords

theta function\(p\)-adic measureEisenstein-Kronecker numberEisenstein-Kronecker-Lerch zeta functionspecial values of Hecke \(L\)-series

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Modular and automorphic functions (11F03) Theta series; Weil representation; theta correspondences (11F27) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Zeta functions and (L)-functions (11S40)

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p-adic Eisenstein-Kronecker series for CM elliptic curves and the Kronecker limit formulas

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