The p-Adic Eisenstein Measure and Fourier coefficients for SL(2)

Mathematics – Number Theory

Scientific paper

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Scientific paper

Our general goal is two-fold: first, to construct p-adic Eisenstein measures
on classical groups using the method of modular distibutions and second, to
apply Shahidi-type theory to construct certain p-adic L-functions using Fourier
expansions of these series. In the present paper we confine ourselves with the
group SL(2), and we try to explain our techniques in this case.

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