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On the Rankin-Selberg problem in families

Published 27 Oct 2022 in math.NT | (2210.15095v2)

Abstract: In this paper, we investigate the Rankin-Selberg problem over short intervals in families of holomorphic modular forms and Hecke-Maass cusp forms. Our investigation assumes a Lindel\"of-on-average bound for holomorphic modular forms, and for Hecke-Maass cusp forms, we make no assumptions.

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