A. Sheth

activity

20232026

most citedEuler Products at the Centre and Applications to Chebyshev's Bias

1 citations · 1 across the 8 of their papers we have counts for

collaborators

Showing 2024Show all

3 papers · 1 filter

math.NT2024

On the $p$ -ranks of class groups of certain Galois extensions

Ufuoma Asarhasa, Rusiru Gambheera, Debanjana Kundu +2

Let $p$ be an odd prime, let $N$ be a prime with $N \equiv 1 (mod p)$ , and let $ζ_{p}$ be a primitive $p$ -th root of unity. We study the $p$ -rank of the class group of $\mathbb{Q}(ζ…

math.NT2024★ 1 cited

Euler Products at the Centre and Applications to Chebyshev's Bias

Arshay Sheth

Let $π$ be an irreducible cuspidal automorphic representation of $GL_{n} (A_{Q})$ with associated $L$ -function $L (s, π)$ . We study the behaviour of the partial Eu…

math.NT2024

Control Theorems for Hilbert Modular Varieties

Arshay Sheth

We prove an exact control theorem, in the sense of Hida theory, for the ordinary part of the middle degree étale cohomology of certain Hilbert modular varieties, after localizing a…

On the p-ranks of class groups of certain Galois extensions

Euler Products at the Centre and Applications to Chebyshev's Bias

Control Theorems for Hilbert Modular Varieties

On the $p$ -ranks of class groups of certain Galois extensions