Rota meets Ramanujan: Probabilistic interpretation of Ramanujan - Fourier series
Mathematical Physics
2007-05-23 v1 math.MP
Number Theory
Abstract
In this paper the ideas of Rota and Ramanujan are shown to be central to understanding problems in additive number theory. The circle and sieve methods are two different facets of the same theme of interplay between probability and Fourier series used to great advantage by Wiener in engineering.
Keywords
Cite
@article{arxiv.math-ph/0209066,
title = {Rota meets Ramanujan: Probabilistic interpretation of Ramanujan - Fourier series},
author = {H. Gopalkrishna Gadiyar and R. Padma},
journal= {arXiv preprint arXiv:math-ph/0209066},
year = {2007}
}
Comments
Latex2e, 4 pages