Proceedings of the American Mathematical Society, Vol. 139, No. 5, May 2011, pp. 1533-1541.
ISSN/ISBN: 0002-9939 DOI: Not available at this time.
Abstract: Here we prove that Benfordâ€™s law holds for coefficients of an infinite class of modular forms. Expanding the work of Bringmann and Ono on exact formulas for harmonic Maass forms, we derive the necessary asymptotics. This implies that the unrestricted partition function p(n), as well as other natural partition functions, satisfy Benfordâ€™s law.
Bibtex:
@article {,
AUTHOR = {Anderson, Theresa C. and Rolen, Larry and Stoehr, Ruth},
TITLE = {Benford's law for coefficients of modular forms and partition
functions},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {139},
YEAR = {2011},
NUMBER = {5},
PAGES = {1533--1541},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {11F12 (11F20 11P83)},
MRNUMBER = {2763743 (2012f:11087)},
DOI = {10.1090/S0002-9939-2010-10577-4},
URL = {http://dx.doi.org/10.1090/S0002-9939-2010-10577-4},
}
Reference Type: Journal Article
Subject Area(s): Number Theory