Computing special \(L\)-values of certain modular forms with complex multiplication

DOI10.3842/SIGMA.2018.090zbMath1456.11057arXiv1803.06072WikidataQ129315249 ScholiaQ129315249MaRDI QIDQ1792493

Ling Long, Fang-Ting Tu, Wen-Ch'ing Winnie Li

Publication date: 12 October 2018

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.06072

zbMATH Keywords

hypergeometric functionsEisenstein seriesmodular forms\(L\)-valuescomplex multiplications

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Holomorphic modular forms of integral weight (11F11) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Classical hypergeometric functions, ({}_2F_1) (33C05)

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