On the distribution of the coefficients of modular forms modulo 𝑝^{𝑗}

Dai, Haobo; Fang, Xianwen

doi:10.1090/proc/13323

On the distribution of the coefficients of modular forms modulo $p^j$
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by Haobo Dai and Xianwen Fang PDF

Proc. Amer. Math. Soc. 145 (2017), 1415-1419 Request permission

Abstract:

We investigate the distribution of the coefficients of a modular form modulo $p^j$ where $p\geq 3$ is a prime and $j$ is a positive integer. Our work heavily relies on the result of Bellaïche and Soundararajan.

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