1 citations · 2 across the 3 of their papers we have counts for
3 papers
math.GM2015
On a Mean Value of Gadiyar and Padma
John Washburn
Building on the earlier works of Gadiyar and Padma, the main result of this paper is to prove: \begin{equation} \lim_{n \to \infty} \frac{1}{N} \sum_{n=1}^{N} \frac{ϕ(n) Λ\left(n \…
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…