A p-adic integral for the reciprocal of L-functions - Mathematics > Number TheoryReport as inadecuate




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Abstract: We introduce an analog of part of the Langlands-Shahidi method to the p-adicsetting, constructing reciprocals of certain p-adic L-functions using thenonconstant terms of the Fourier expansions of Eisenstein series. We carry outthe method for the group SL2, and give explicit p-adic measures whose Mellintransforms are reciprocals of Dirichlet L-functions.



Author: Stephen Gelbart, Stephen D. Miller, Alexei Pantchichkine, Freydoon Shahidi

Source: https://arxiv.org/







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