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arXiv · 1001.1913

A p-adic integral for the reciprocal of L-functions

Stephen Gelbart·Stephen D. Miller·Alexei Pantchichkine·Freydoon Shahidi
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Abstract

We introduce an analog of part of the Langlands-Shahidi method to the p-adic setting, constructing reciprocals of certain p-adic L-functions using the nonconstant terms of the Fourier expansions of Eisenstein series. We carry out the method for the group SL(2), and give explicit p-adic measures whose Mellin transforms are reciprocals of Dirichlet L-functions.

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Stephen Gelbart, Stephen D. Miller, Alexei Pantchichkine, Freydoon Shahidi. 2012-12-19. A p-adic integral for the reciprocal of L-functions. https://arxiv.org/abs/1001.1913

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