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On the level raising of cuspidal eigenforms modulo prime powers

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Abstract

In this article, we prove level raising for cuspidal eigenforms modulo prime powers (for odd primes) of weight \(k\ge 2\) and arbitrary character, extending the result in weight two established by the work of Tsaknias and Wiese and generalizing (partially) Diamond–Ribet’s celebrated level-raising theorems.

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Acknowledgements

This work was prepared during my PhD at the University of Luxembourg. I would like to thank my advisor G. Wiese for suggesting the problem, valuable guidance and stimulating discussions. I would also like to thank A. Rahm for the help in finding examples for the level-raising phenomenon, S. Anni and L. Dieulefait for many interesting discussions, and the careful reviewer.

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  1. University of Luxembourg, Esch-sur-Alzette, Luxembourg

    Emiliano Torti

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Torti, E. On the level raising of cuspidal eigenforms modulo prime powers. Ramanujan J 53, 667–692 (2020). https://doi.org/10.1007/s11139-019-00175-8

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