An extension of Rohrlich's Theorem to the $j$-function
Number Theory
2019-09-12 v2
Abstract
In this paper, we extend Rohrlich's Theorem on the integral of logarithms of meromorphic functions to compute the inner product between such functions and polynomials in the -function. We then show that the generating function for these inner products with is part of a weight two modular object.
Keywords
Cite
@article{arxiv.1903.06868,
title = {An extension of Rohrlich's Theorem to the $j$-function},
author = {Kathrin Bringmann and Ben Kane},
journal= {arXiv preprint arXiv:1903.06868},
year = {2019}
}