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An extension of Rohrlich's Theorem to the $j$-function (1903.06868v2)
Published 16 Mar 2019 in math.NT
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 $j$-function. We then show that the generating function for these inner products with $j_n$ is part of a weight two modular object.
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