Triple convolution of Ramanujan sums and applications
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.
Authors
- Sneha Chaubey (ORCID: https://orcid.org/0000-0001-8086-1713)
- Giovanni Coppola
- M Murty
- Shivani Goel
Institutions
- Indraprastha Institute of Information Technology Delhi (IN)
Publication Details
- Journal
- Hardy-Ramanujan Journal
- Published
- 2026-04-27
- DOI
- https://doi.org/10.46298/hrj.2026.17903
- Primary Topic
- Analytic Number Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00