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arXiv · 1404.7153

p-adic Eisenstein series and L-functions of certain cusp forms on definite unitary groups

Ellen Eischen·Xin Wan
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Abstract

We construct p-adic families of Klingen Eisenstein series and L-functions for cuspforms (not necessarily ordinary) unramified at an odd prime p on definite unitary groups of signature (r, 0) (for any positive integer r) for a quadratic imaginary field split at p. When r=2, we show that the constant term of the Klingen Eisenstein family is divisible by a certain p-adic L-function.

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Ellen Eischen, Xin Wan. 2014-10-21. p-adic Eisenstein series and L-functions of certain cusp forms on definite unitary groups. https://doi.org/10.1017/s1474748014000395

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