3 papers
math.CO2026
Remarks on the conjectures of Capparelli, Meurman, Primc and Primc
Shashank Kanade, Matthew C. Russell, Shunsuke Tsuchioka +1
In a series of two papers, S. Capparelli, A. Meurman, A. Primc, M. Primc (CMPP) and then M. Primc put forth three remarkable sets of conjectures, stating that the generating functi…
math.NT2025
An Algebraic Generalization of the Ramanujan Sum
N. Uday Kiran
Ramanujan sums have attracted significant attention in both mathematical and engineering disciplines due to their diverse applications. In this paper, we introduce an algebraic gen…
math.NT2025
On a function of Ramanujan twisted by a logarithm
Atul Dixit, Sumukha Sathyanarayana, N. Guru Sharan
A two-term functional equation for an infinite series involving the digamma function and a logarithmic factor is derived. A modular relation on page 220 of Ramanujan's Lost Noteboo…