4.3 Article

Kernels for products of Hilbert L-functions

Journal

MATHEMATISCHE ZEITSCHRIFT
Volume 295, Issue 1-2, Pages 87-99

Publisher

SPRINGER HEIDELBERG
DOI: 10.1007/s00209-019-02355-0

Keywords

Hilbert modular form; Special L-values; Cusp form; Double Eisenstein series; Petersson inner product; Rankin-Cohen bracket; Kernel function

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We study kernel functions of L-functions and products of L-functions of Hilbert cusp forms over real quadratic fields. This extends the results on elliptic modular forms in Diamantis and O'Sullivan (Math Ann 346(4):897-929, 2010, Algebra Number Theory 7(8):1883-1917, 2013).

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