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arXiv · 2501.07872

The Second Moment of Rankin-Selberg $L$-Functions in Conductor-Dropping Regimes

Peter Humphries·Rizwanur Khan
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Abstract

We prove an asymptotic formula for the second moment of $L$-functions associated to the Rankin-Selberg convolution of two holomorphic Hecke cusp forms with equal weight.

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Peter Humphries, Rizwanur Khan. 2025-01-14. The Second Moment of Rankin-Selberg $L$-Functions in Conductor-Dropping Regimes. https://doi.org/10.1515/forum-2025-0097

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