3 papers
math.NT2025
An alternative proof of the asymptotic formula for the Fourier coefficients of the elliptic modular -function
Karin Ikeda
In 1997, Báez-Duarte gave a probabilistic proof of the asymptotic formula for the partition function, which had originally been proved by Hardy-Ramanujan. Based on the probabilisti…
math.NT2024
Hurwitz-Lerch type central binomial series
Karin Ikeda, Yuta Kadono
The central binomial series is a subject that has been extensively studied, for example in the context of the irrationality of Riemann zeta values. In this paper, the Hurwitz versi…
math.NT2024
The average number of Goldbach representations over multiples of
Karin Ikeda, Ade Irma Suriajaya
We discuss the evaluation of the average number of Goldbach representations for integers which are multiples of introduced by Granville. We improve an estimate given by Granvil…