Convolution Dirichlet series and a Kronecker limit formula for second-order Eisenstein series
Number Theory
2007-05-23 v1
Abstract
The classical Kronecker limit formula gives the constant term of the non-holomorphic Eisenstein series E(z,s) for SL(2,Z) at s=1 in terms of the Dedekind eta function. Here we compute the analagous formula for an Eisenstein series twisted by modular symbols (periods of weight two holomorphic cusp forms) for general Fuchsian groups of the first kind.
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Cite
@article{arxiv.math/0404002,
title = {Convolution Dirichlet series and a Kronecker limit formula for second-order Eisenstein series},
author = {Jay Jorgenson and Cormac O'Sullivan},
journal= {arXiv preprint arXiv:math/0404002},
year = {2007}
}
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36 pages