Benford’s law for coefficients of modular forms and partition functions

DOI10.1090/S0002-9939-2010-10577-4zbMath1250.11072arXiv1009.0780MaRDI QIDQ3003566

Theresa C. Anderson, Ruth Stoehr, Larry Rolen

Publication date: 27 May 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.0780

Mathematics Subject Classification ID

Dedekind eta function, Dedekind sums (11F20) Automorphic forms, one variable (11F12) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Analytic theory of partitions (11P82)

Related Items (13)

A characterization of Benford's law in discrete-time linear systems ⋮ Dirichlet, Sierpiński, and Benford ⋮ Benford behavior and distribution in residue classes of large prime factors ⋮ Intermediate prime factors in specified subsets ⋮ On Benford’s law for multiplicative functions ⋮ Leading digit laws on linear Lie groups ⋮ Benford's law and continuous dependent random variables ⋮ A local Benford Law for a class of arithmetic sequences ⋮ Products of random variables and the first digit phenomenon ⋮ Complexity of Leading Digit Sequences ⋮ On logarithmically Benford Sequences ⋮ Fast growing sequences of numbers and the first digit phenomenon ⋮ Most linear flows on \(\mathbb{R}^d\) are Benford

Cites Work

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• The distribution of leading digits and uniform distribution mod 1
• A statistical derivation of the significant-digit law
• Coefficients of Harmonic Maass Forms
• Elliptic Modular Forms and Their Applications
• Benford's law, values of L-functions and the 3x+1 problem
• An arithmetic formula for the partition function

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