Linking the Circle and the Sieve: Ramanujan - Fourier Series

2006/01/24 by H. Gopalkrishna Gadiyar, Gadiyar, H. Gopalkrishna, R. Padma +1
Mathematics · #11P55 #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.math/0601574

openalex publication_date 2006/01/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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