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

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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.NT2021

The divisibility of the class number of the imaginary quadratic fields $Q (1 - 2 m^{k})$

Srilakshmi Krishnamoorthy, R. Muneeswaran

Let $h_{(m, k)}$ be the class number of $Q (1 - 2 m^{k}) .$ We prove that for any odd natural number $k,$ there exists $m_{0}$ such that $k ∣ h_{(m, k)}$ for all odd $m > m…

math.NT2021

On a conjecture of Sun

Srilakshmi Krishnamoorthy, Abinash Sarma

A number of the form $x (x + 1) /2$ where $x$ is an integer is called a triangular number. Suppose, $N (a_{1}, \dots, a_{k}; n)$ and $T (a_{1}, \dots, a_{k}; n)$ denote the number of ways $n$ can be…

math.NT2021

Low degree extensions with Cyclic class group

Srilakshmi Krishnamoorthy, Sunil Kumar Pasupulati

Lenstra introduced the notion of the Euclidean ideal class, a generalization of the Euclidean domain that captures cyclic class groups. In this article, we establish the existence…

math.NT2021

The Eisenstein and winding elements of modular symbols for odd square-free level

Srilakshmi Krishnamoorthy

We explicitly write down the Eisenstein elements inside the space of modular symbols for Eisenstein series with integer coefficients for the congruence subgroups $Γ_{0} (N)$ with $N$ …

math.NT2020

On the existence of a non-principal Euclidean ideal class in biquadratic fields with class number two

Srilakshmi Krishnamoorthy, Sunil Kumar Pasupulati

Lenstra introduced the notion of a Euclidean ideal class, which is a generalization of the Euclidean domain. Lenstra also proved that the Euclidean ideal in a number field $K$ impl…

math.NT2020

On zero-sum subsequences of length exp(G)

Srilakshmi Krishnamoorthy, Karthikesh, Umesh Shankar

Let $G$ be a finite abelian group. Let $g (G)$ be the smallest positive integer $t$ such that every subset of cardinality $t$ of the group $G$ contains a subset of cardinality $\mat…

math.NT2020★ 3 cited

On the $p$ -divisibility of class numbers of an infinite family of imaginary quadratic fields $Q (d)$ and $Q (d + 1) .$

Pasupulati Sunil Kumar, Srilakshmi Krishnamoorthy

For any odd prime $p,$ we construct an infinite family of pairs of imaginary quadratic fields $Q (d), Q (d + 1)$ whose class numbers are both divisible b…

math.NT2015★ 1 cited

Lifting Congruences to weight 3/2

Neil Dummigan, Srilakshmi Krishnamoorthy

Given a congruence of Hecke eigenvalues between newforms of weight $2$ , we prove, under certain conditions, a congruence between corresponding weight- $3/2$ forms.

math.NT2015★ 3 cited

A note on the Fourier coefficients of a Cohen-Eisenstein series

Srilakshmi Krishnamoorthy

We prove a formula for the coefficients of a weight $3/2$ Cohen-Eisenstein series of square-free level $N$ . This formula generalizes a result of Gross and in particular, it proves…

math.NT2015

On sign changes for almost prime coefficients of half-integral weight modular forms

Srilakshmi Krishnamoorthy, M. Ram Murty

For a half-integral weight modular form $f = \sum_{n = 1}^{\infty} a_{f} (n) n^{\frac{k - 1}{2}} q^{n}$ of weight $k = l + \frac{1}{2}$ on $Γ_{0} (4)$ such that $a_{f} (n)$ ( $n$ $\in$ $N$ )…

math.NT2015★ 4 cited

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

Srilakshmi Krishnamoorthy, Debargha Banerjee

We explicitly write down the Eisenstein elements inside the space of modular symbols for Eisenstein series with integer coefficients for the congruence subgroups Γ_0 (pq) with p an…

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

The divisibility of the class number of the imaginary quadratic fields Q(1−2mk​)

On a conjecture of Sun

Low degree extensions with Cyclic class group

The Eisenstein and winding elements of modular symbols for odd square-free level

On the existence of a non-principal Euclidean ideal class in biquadratic fields with class number two

On zero-sum subsequences of length exp(G)

On the p-divisibility of class numbers of an infinite family of imaginary quadratic fields Q(d​) and Q(d+1​).

Lifting Congruences to weight 3/2

A note on the Fourier coefficients of a Cohen-Eisenstein series

On sign changes for almost prime coefficients of half-integral weight modular forms

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

Some New Congruences for $ℓ$ -Regular Multipartitions

The divisibility of the class number of the imaginary quadratic fields $Q (1 - 2 m^{k})$

On the $p$ -divisibility of class numbers of an infinite family of imaginary quadratic fields $Q (d)$ and $Q (d + 1) .$