p-adic families of d-th Shintani liftings

Casazza, Daniele; Vera Piquero, Carlos de

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Casazza, Daniele

Vera Piquero, Carlos de

Document typeResearch report

Defense date2019-12-11

Rights accessOpen Access

Attribution-NonCommercial-NoDerivs 3.0 Spain

This work is protected by the corresponding intellectual and industrial property rights. Except where otherwise noted, its contents are licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain

Abstract

In this note we give a detailed construction of a Lambda-adic d-th Shintani lifting. We derive a p-adic version of Kohnen's formula relating Fourier coefficients of half-integral weight modular forms and special values of twisted L-series. As a by-product we obtain a mild generalization of such classical formula.

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CitationCasazza, D.; de Vera-Piquero, C. "p-adic families of d-th Shintani liftings". 2019.

URIhttp://hdl.handle.net/2117/177509

URL other repositoryhttps://arxiv.org/abs/1912.05655v1

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