Akash Singha Roy

most citedDistribution in coprime residue classes of polynomially-defined multiplicative functions

3 citations · 3 across the 2 of their papers we have counts for

collaborators

5 papers

math.NT2024

Joint distribution in residue classes of families of polynomially-defined multiplicative functions

Akash Singha Roy

We study the distribution of families of multiplicative functions among the coprime residue classes to moduli varying uniformly in a wide range, obtaining analogues of the Siegel--…

math.NT2023

Joint distribution in residue classes of families of polynomially-defined additive functions

Akash Singha Roy

Let $g_{1}, \dots, g_{M}$ be additive functions for which there exist nonconstant polynomials $G_{1}, \dots, G_{M}$ satisfying $g_{i} (p) = G_{i} (p)$ for all primes $p$ and all $i \in \{1, \d…

math.NT2023★ 1 cited

Mean values of multiplicative functions and applications to the distribution of the sum of divisors

Akash Singha Roy

We provide uniform bounds on mean values of multiplicative functions under very general hypotheses, detecting certain power savings missed in known results in the literature. As an…

math.NT2023

The distribution of intermediate prime factors

Nathan McNew, Paul Pollack, Akash Singha Roy

Let $P^{(\frac{1}{2})} (n)$ denote the middle prime factor of $n$ (taking into account multiplicity). More generally, one can consider, for any $α \in (0, 1)$ , the $α$ -positio…

math.NT2023★ 3 cited

Distribution in coprime residue classes of polynomially-defined multiplicative functions

Paul Pollack, Akash Singha Roy

An integer-valued multiplicative function $f$ is said to be polynomially-defined if there is a nonconstant separable polynomial $F (T) \in Z [T]$ with $f (p) = F (p)$ for all pri…