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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Showing 2021Show all

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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 $N$ …

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

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