A NEW CONSTRUCTION OF p-ADIC RANKIN CONVOLUTIONS IN THE CASE OF POSITIVE SLOPE

DOI10.1142/S1793042110003782zbMath1267.11051arXiv0903.0408OpenAlexW2963517371MaRDI QIDQ3074579

Mathieu Vienney

Publication date: 9 February 2011

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.0408

zbMATH Keywords

modular formsspecial values\(p\)-adic \(L\)-functionsRankin convolution

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Fourier coefficients of automorphic forms (11F30)

Cites Work

• On a sufficient condition for the existence of admissible \(p\)-adic measures
• A p-adic measure attached to the zeta functions associated with two elliptic modular forms. I
• A functional equation of the non-Archimedian Rankin convolution
• Non-Archimedean \(L\)-functions and arithmetical Siegel modular forms
• Two variable \(p\)-adic \(L\) functions attached to eigenfamilies of positive slope
• The special values of the zeta functions associated with cusp forms
• Lectures on P-Adic L-Functions. (AM-74)
• Modular Forms

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