View Complete Reference

Chandee, V and Li, X (2022)

On Benford’s Law of Multiplicative Functions

Preprint arXiv:2203.13117 [math.NT]; last accessed Mar 28, 2022.

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



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. In contrast to earlier work, our approach is based on Halasz's Theorem.


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


Reference Type: Preprint

Subject Area(s): Number Theory