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arXiv · 2512.02919

Congruences for the ratios of Rankin--Selberg $L$-functions

P. Narayanan·A. Raghuram
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Abstract

A well-known principle states that a congruence between objects should give rise to a corresponding congruence between the special values of $L$-functions attached to these objects. We computationally investigate this principle for Rankin--Selberg $L$-functions attached to pairs of holomorphic cuspforms, and formulate a precise conjecture in general.

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P. Narayanan, A. Raghuram. 2025-12-02. Congruences for the ratios of Rankin--Selberg $L$-functions. https://arxiv.org/abs/2512.02919

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