On the values of Eisenstein series

DOI10.3836/TJM/1270216599zbMath0391.10022OpenAlexW1974607768MaRDI QIDQ1251245

Koji Katayama

Publication date: 1978

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1270216599

zbMATH Keywords

Complex MultiplicationEisenstein SeriesImaginary Quadratic FieldKronecker's FunctionL-FunctionsNormalized Hurwitz-Herglotz FunctionRamanujan FormulaRay Class CharactersVon Staudt-Clausen Theorem

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Complex multiplication and moduli of abelian varieties (11G15) Holomorphic modular forms of integral weight (11F11) Zeta functions and (L)-functions of number fields (11R42) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (8)

The Jacobi form \(D_L\), theta functions, and Eisenstein series ⋮ Analogues of the Hurwitz formulas for level 2 Eisenstein series ⋮ Certain convolution formulas for multiple series ⋮ Double series identities arising from Jacobi's identity of the theta function ⋮ Sums of products of Kronecker's double series ⋮ An elliptic analogue of generalized Dedekind-Rademacher sums ⋮ On Jacobi forms, and explicit evaluations of some trigonometric sums ⋮ Infinite series involving hyperbolic functions

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