S. Krishnamoorthy

activity

20152024

most citedThe Eisenstein elements of modular symbols for level product of two distinct odd primes

4 citations · 11 across the 16 of their papers we have counts for

collaborators

17 papers

math.NT2024

Watkins's conjecture for elliptic curves with a rational torsion

Subham Bhakta, Srilakshmi Krishnamoorthy

Watkins's conjecture suggests that for an elliptic curve $E / Q$ , the rank of the group $E (Q)$ of rational points is bounded above by $ν_{2} (m_{E})$ , where $m_{E}$ is th…

math.NT2023

A collage of results on the divisibility and indivisibility of class numbers of quadratic fields

Srilakshmi Krishnamoorthy, Sunil Kumar Pasupulati, Muneeswaran R

The investigation of the ideal class group $C l_{K}$ of an algebraic number field $K$ is one of the key subjects of inquiry in algebraic number theory since it encodes a lot of arithm…

math.NT2023

Some New Congruences for $ℓ$ -Regular Multipartitions

Srilakshmi Krishnamoorthy, Abinash Sarma

For a positive integer $n$ , let $B_{ℓ_{1}, \dots, ℓ_{r}} (n)$ denote the number of $(ℓ_{1}, ℓ_{2}, \dots, ℓ_{r})$ -regular multipartitions of $n$ . If $\ell_1=\ell_2=\cdots=\ell_r=\e…

math.NT2023

Modular degree and a conjecture of Watkins

Subham Bhakta, Srilakshmi Krishnamoorthy, Sunil Kumar Pasupulati

Given an elliptic curve $E / Q$ of conductor $N$ , there exists a surjective morphism $ϕ_{E} : X_{0} (N) \to E$ defined over $Q$ . In this article, we discuss the growth of…

math.NT2023

Congruence classes for modular forms over small sets

Subham Bhakta, S. Krishnamoorthy, R. Muneeswaran

J.P. Serre showed that for any integer $m, a (n) \equiv 0 (mod m)$ for almost all $n,$ where $a (n)$ is the $n^{th}$ Fourier coefficient of any modular form with rational coeff…

math.CO2022

Resistance distance in connected balanced digraphs

R. Balakrishnan, S. Krishnamoorthy, W. So

Let $D = (V, E)$ be a strongly connected and balanced digraph with vertex set $V$ and arc set $E .$ The classical distance $d_{ij}^{D}$ from $i$ to $j$ in $D$ is the length of a short…

Watkins's conjecture for elliptic curves with a rational torsion

A collage of results on the divisibility and indivisibility of class numbers of quadratic fields

Some New Congruences for ℓ-Regular Multipartitions

Modular degree and a conjecture of Watkins

Congruence classes for modular forms over small sets

Resistance distance in connected balanced digraphs

Some New Congruences for $ℓ$ -Regular Multipartitions