R. Muneeswaran

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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…

Congruence classes for modular forms over small sets

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

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