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On the Rankin-Selberg problem in families

2022/10/27 by Kim, Jiseong
#11F30 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2210.15095

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 Lindelöf-on-average bound for holomorphic modular forms, and for Hecke-Maass cusp forms, we make no assumptions.

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