CM values and central \(L\)-values of elliptic modular forms

DOI10.1007/s00208-009-0447-0zbMath1221.11127OpenAlexW2084168492MaRDI QIDQ971900

Atsushi Murase

Publication date: 17 May 2010

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-009-0447-0

zbMATH Keywords

Eisenstein seriesmodular formsRankin convolutionCM-periodtheta-lifting

Mathematics Subject Classification ID

Quadratic extensions (11R11) Theta series; Weil representation; theta correspondences (11F27) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)

Related Items (1)

Test vectors and central \(L\)-values for \(\mathrm{GL}(2)\)

Cites Work

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• Gross-Zagier formula for \(\text{GL}_ 2\).
• Central values of \(L\)-functions over CM fields
• Heegner points and derivatives of \(L\)-series
• On the periods of modular forms
• On the Holomorphy of Certain Dirichlet Series
• The special values of the zeta functions associated with cusp forms
• Central values of Rankin $L$-series over real quadratic fields
• Central L-Values and Toric Periods for GL(2)

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