Triple convolution of Ramanujan sums and applicationsArticle
Authors: Sneha Chaubey 1; Giovanni Coppola ; Shivani Goel ; M Murty
NULL##NULL##NULL##NULL
Sneha Chaubey;Giovanni Coppola;Shivani Goel;M Murty
- 1 Indraprastha Institute of Information Technology [New Delhi]
We give a combinatorial proof of the limit theorem for triple convolutions of Ramanujan sums that had been earlier proved by Chaubey, Goel and Murty using the theory of exponential sums. This result has applications to the study of triple convolutions of certain arithmetical functions.
Volume: Volume 48 - 2025
Published on: April 27, 2026
Accepted on: April 27, 2026
Submitted on: April 3, 2026
Keywords: 11M06, 11L03, 11N37, [MATH]Mathematics [math], [en] triple convolutions., Ramanujan sums