Anurag Sahay

activity

20242026

collaborators

6 papers

math.NT2026

Footnote to a theorem of Phagan on actions of a cyclic group

Anurag Sahay

We provide a simplified proof of a recent theorem of Phagan (arXiv:2509.14083) relating the number of orbits of a given length of an action $G ↷ S$ of a cyclic group…

math.CO2025

The VC-dimension of random subsets of finite groups

Brad Rodgers, Anurag Sahay

For a random subset of a finite group $G$ of cardinality $N$ , we consider the VC-dimension of the family of its translates (equivalently the VC-dimension of a random Cayley graph)…

math.NT2025

The shifted convolution problem in function fields

Alexandra Florea, Matilde LalÃn, Amita Malik +1

We study the shifted convolution problem for the divisor function in function fields in the large degree limit, that is, the average value of $d (f) d (f + h)$ where $f$ runs over moni…

math.NT2024

Consecutive moderate gaps between zeros of the Riemann zeta function

Steven M. Gonek, Anurag Sahay

Let $0 < I^_{1}^{3} \leq I^_{2}^{3} \leq \dots$ denote the ordinates of nontrivial zeros of the Riemann zeta function with positive imaginary parts. For $c > 0$ fixed (but possibly small), $T$ la…

math.CO2024

The VC-dimension of quadratic residues in finite fields

Brian McDonald, Anurag Sahay, Emmett L. Wyman

We study the Vapnik-Chervonenkis (VC) dimension of the set of quadratic residues (i.e. squares) in finite fields, $F_{q}$ , when considered as a subset of the additive group.…

math.NT2024

The fourth moment of the Hurwitz zeta function

Winston Heap, Anurag Sahay

We prove a sharp upper bound for the fourth moment of the Hurwitz zeta function $I^¶ (s, I^\pm)$ on the critical line when the shift parameter $I^\pm$ is irrational and of irrationality exp…