J. Sivaraman

activity

20222026

most citedCounting ideals in ray classes

3 citations · 3 across the 6 of their papers we have counts for

collaborators

6 papers

math.NT2026

Diophantine approximation with primes in an arithmetic progression

D. Mazumder, J. Sivaraman

Let $α \in R ∖ Q$ , $β \in R$ , $N \in R_{\geq 1}$ and $Δ \in (0, 1/2)$ . For any real $y$ , let $∥ y ∥$ denote the distance from $y$ to the nearest in…

math.NT2024

Gerth's heuristics for a family of quadratic extensions of certain Galois number fields

C. G. K. Babu, R. Bera, J. Sivaraman +1

Gerth generalised Cohen-Lenstra heuristics to the prime $p = 2$ . He conjectured that for any positive integer $m$ , the limit $$ \lim_{x \to \infty} \frac{\sum_{0 < D \le X, \atop{ \t…

math.NT2024

Explicit upper bounds on the average of Euler-Kronecker constants of narrow ray class fields

Neelam Kandhil, Rashi Lunia, Jyothsnaa Sivaraman

For a number field $K$ , the Euler-Kronecker constant $γ_{K}$ associated to $K$ is an arithmetic invariant the size and nature of which is linked to some of the deepest questions in n…

math.NT2022

Representing ideal classes of ray class groups by product of prime ideals of small size

J. -M. Deshouillers, S. Gun, O. Ramaré +1

We prove that, for every modulus $q$ , every class of the narrow ray class group $H_{q} (K)$ of an arbitrary number field $K$ contains a produ…

math.NT2022

Euclidean ideal classes in Galois number fields of odd prime degree

V. Kumar Murty, J. Sivaraman

Weinberger in 1972, proved that the ring of integers of a number field with unit rank at least $1$ is a principal ideal domain if and only if it is a Euclidean domain, provided the…

math.NT2022★ 3 cited

Counting ideals in ray classes

Sanoli Gun, Olivier Ramaré, Jyothsnaa Sivaraman

Let $K$ be a number field and $q$ an integral ideal in $O_{K}$ . A result of Tatuzawa from 1973, computes the asymptotic (with an error term)…