Year: 2026
Type: preprint
Abstract: Let $\varepsilon>0$ be given. For prime power moduli $q=p^k$ with $k\geq 2$ and $p\neq 3$, and assuming the Ramanujan--Petersson conjecture for $\GL_2$ Maass forms, we prove that the Rankin--Selberg coefficients $\{λ_f(n)^2\}_{n\geq 1}$ have a level of distribution $θ=2/5+3/305-\varepsilon$ in arithmetic progressions $n \equiv a \bmod q$.
Source: arXiv (Cornell University)
Author: Zhu, Tengyou
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7160596423
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