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On the rationality of cycle integrals of meromorphic modular forms (1810.00612v3)
Published 1 Oct 2018 in math.NT
Abstract: We derive finite rational formulas for the traces of cycle integrals of certain meromorphic modular forms. Moreover, we prove the modularity of a completion of the generating function of such traces. The theoretical framework for these results is an extension of the Shintani theta lift to meromorphic modular forms of positive even weight.
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