Linking the Circle and the Sieve: Ramanujan - Fourier Series

Details Linking the Circle and the Sieve: Ramanujan - Fourier Series Linking the Circle and the Sieve: Ramanujan - Fourier Series

2006-01-24

arxiv.org/abs/math/0601574v1

Mathematics

Number Theory

18 pages, Based on a talk given at the Conference in Number Theory held at NIAS, Bangalore, India during 13-15, December 2003

Scientific paper

Currently the circle and the sieve methods are the key tools in analytic
number theory. In this paper the unifying theme of the two methods is shown to
be the Ramanujan - Fourier series.

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