2 papers
math.NT2026
Equivalence between the Functional Equation and Vorono\"ı-type summation identities for a class of -Functions
Arindam Roy, Jagannath Sahoo, Akshaa Vatwani
To date, the best methods for estimating the growth of mean values of arithmetic functions rely on the Vorono\"ı summation formula. By noticing a general pattern in the proof of h…
math.NT2026
Higher Order Dualities over Global Function Fields and Weighted Möbius Sums over
Prassanna Nand Jha, Jagannath Sahoo
Alladi's duality identities (1977) provide a fundamental relation between the smallest and the -th largest prime factors of integers. In this paper, we establish Alladi-type dua…