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

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