Benford’s Law for coefficients of newforms

DOI10.1142/S1793042116500299zbMath1334.11033arXiv1407.1577MaRDI QIDQ2789377

Marie Jameson, Jesse Thorner, Lynnelle Ye

Publication date: 29 February 2016

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.1577

zbMATH Keywords

modular formSato-Tate conjectureBenford sequence

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Special sequences and polynomials (11B83) General theory of distribution modulo (1) (11K06)

Related Items (3)

Benford behavior and distribution in residue classes of large prime factors ⋮ On Benford’s law for multiplicative functions ⋮ On logarithmically Benford Sequences

Cites Work

• A statistical derivation of the significant-digit law
• Benford's law, values of L-functions and the 3x+1 problem
• BENFORD'S LAW FOR THE $3x+1$ FUNCTION
• One-dimensional dynamical systems and Benford’s law
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