Chandee, V, Li, X, Pollack, P and Roy, AS (2022)

On Benford's Law for Multiplicative Functions

Preprint arXiv:2203.13117v2 [math.NT]; last accessed May 30, 2022.

ISSN/ISBN: Not available at this time. DOI: Not available at this time.

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Abstract: We provide a criterion to determine whether a real multiplicative function is a strong Benford sequence. The criterion implies that the k-divisor functions, where k≠10j, and Hecke eigenvalues of newforms, such as Ramanujan tau function, are strong Benford. Moreover, we deduce from the criterion that the collection of multiplicative functions which are not strong Benford forms a group under pointwise multiplication. In contrast to earlier work, our approach is based on Halász's Theorem.

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Bibtex:
@misc{, doi = {10.48550/ARXIV.2203.13117}, url = {https://arxiv.org/abs/2203.13117v2}, author = {Chandee, Vorrapan and Li, Xiannan and Paul Pollack and Akash Singha Roy}, title = {On Benford's Law for multiplicative functions}, year = {2022}, }

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Reference Type: Preprint

Subject Area(s): Number Theory

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