Article contents
$p$-ADIC EISENSTEIN SERIES AND
$L$-FUNCTIONS OF CERTAIN CUSP FORMS ON DEFINITE UNITARY GROUPS
Published online by Cambridge University Press: 21 November 2014
Abstract
We construct $p$-adic families of Klingen–Eisenstein series and
$L$-functions for cusp forms (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
${\mathcal{K}}$ 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.
Keywords
MSC classification
- Type
- Research Article
- Information
- Journal of the Institute of Mathematics of Jussieu , Volume 15 , Issue 3 , July 2016 , pp. 471 - 510
- Copyright
- © Cambridge University Press 2014
References
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