A functional equation of the non-Archimedian Rankin convolution

DOI10.1215/S0012-7094-87-05407-XzbMath0633.10028MaRDI QIDQ1095963

Alexei A. Panchishkin

Publication date: 1987

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

functional equationRankin convolutioncusp forms of different weightsnon-Archimedean interpolationS-adic L-functions

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Congruences for modular and (p)-adic modular forms (11F33) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Holomorphic modular forms of integral weight (11F11)

Related Items (3)

Motives over totally real fields and \(p\)-adic \(L\)-functions ⋮ Rankin’s Lemma of Higher Genus and Explicit Formulas for Hecke Operators ⋮ A NEW CONSTRUCTION OF p-ADIC RANKIN CONVOLUTIONS IN THE CASE OF POSITIVE SLOPE

Cites Work

• A p-adic measure attached to the zeta functions associated with two elliptic modular forms. I
• The critical values of zeta functions associated to the symplectic group
• \(p\)-adic interpolation of real analytic Eisenstein series
• On the periods of modular forms
• L-series of Rankin type and their functional equations
• Arithmetic of Weil curves
• Über die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen
• Automorphic forms on \(\mathrm{GL}(2)\). Part II
• Special Values of Zeta Functions, and Eisenstein Series of Half Integral Weight
• The special values of the zeta functions associated with cusp forms
• NON-ARCHIMEDEAN INTEGRATION AND JACQUET-LANGLANDSp-ADICL-FUNCTIONS
• The Scalar Product of Modular Forms
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