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math.NT2013★ 1 cited
Abel Summation of Ramanujan-Fourier Series
John Washburn
Using Abel summation the paper proves a weak form of the Wiener-Khinchin formula for arithmetic functions with point-wise convergent Ramanujan-Fourier expansions. The main result i…
math.NT2008★ 1 cited
Convolution and Cross-Correlation of Ramanujan-Fourier Series
John Washburn
This paper uses the machinery of almost periodic functions to prove that even without uniform convergence the connection between a pair of almost periodic functions and the constan…