Jyotirmoy Sengupta - An Exercise in Benford's Law

hrj:17904 - Hardy-Ramanujan Journal, April 27, 2026, Volume 48 - 2025 - https://doi.org/10.46298/hrj.2026.17904
An Exercise in Benford's LawArticle

Authors: Jyotirmoy Sengupta 1

  • 1 Indian Association for the Cultivation of Science


This article is a generalisation of the results of Thorner etal concerning Benford's law for the Fourier coefficients of a primitive i.e. a normalised newform $f$ of weight $k$ on $\Gamma_0 (N)$ without complex multiplication to the Fourier coefficients of ${\rm sym}^2f$, where ${\rm sym}^2 f$ is the symmetric square lift of $f$.


Volume: Volume 48 - 2025
Published on: April 27, 2026
Accepted on: April 27, 2026
Submitted on: April 3, 2026
Keywords: 11F12, 11F30, [MATH]Mathematics [math], [en] Sato-Tate measure, Benford's law, the symmetric square lift, Fourier coefficients