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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 of an algebraic number field is one of the key subjects of inquiry in algebraic number theory since it encodes a lot of arithm…
Some New Congruences for -Regular Multipartitions
Srilakshmi Krishnamoorthy, Abinash Sarma
For a positive integer , let denote the number of -regular multipartitions of . If $\ell_1=\ell_2=\cdots=\ell_r=\e…
Modular degree and a conjecture of Watkins
Subham Bhakta, Srilakshmi Krishnamoorthy, Sunil Kumar Pasupulati
Given an elliptic curve of conductor , there exists a surjective morphism defined over . In this article, we discuss the growth of…
Congruence classes for modular forms over small sets
Subham Bhakta, S. Krishnamoorthy, R. Muneeswaran
J.P. Serre showed that for any integer for almost all where is the Fourier coefficient of any modular form with rational coeff…