Divisor problems for restricted Fourier coefficients of modular forms

Yuk-Kam Lau; Wonwoong Lee

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arXiv · 2411.17210

Divisor problems for restricted Fourier coefficients of modular forms

Yuk-Kam Lau·Wonwoong Lee

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Abstract

Let $d(n)$ be the number of divisors of $n$. We investigate the average value of $d(a_f(p))^r$ for $r$ a positive integer and $a_f(p)$ the $p$-th Fourier coefficient of a cuspidal eigenform $f$ having integral Fourier coefficients, where $p$ is a prime subject to a constraint on the angle associated with the normalized Fourier coefficient.

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BibTeX RIS

Yuk-Kam Lau, Wonwoong Lee. 2024-11-26. Divisor problems for restricted Fourier coefficients of modular forms. https://arxiv.org/abs/2411.17210

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