Sujeet Kumar Singh

activity

20182021

collaborators

3 papers

math.NT2021

Ramanujan-style congruences for prime level

Arvind Kumar, Moni Kumari, Pieter Moree +1

We establish Ramanujan-style congruences modulo certain primes $ℓ$ between an Eisenstein series of weight $k$ , prime level $p$ and a cuspidal newform in the $ε$ -eigens…

math.NT2019

Congruences in Hermitian Jacobi and Hermitian modular forms

Jaban Meher, Sujeet Kumar Singh

In this paper we first prove an isomorphism between certain spaces of Jacobi forms. Using this isomorphism, we study the mod $p$ theory of Hermitian Jacobi forms over $\mathbb{Q}(i…

math.NT2018

On the parity of the Fourier coefficients of hauptmoduln $j_{N} (z)$ and $j_{N}^{+} (z)$

Moni Kumari, Sujeet Kumar Singh

We obtain some interesting results about the parity of the Fourier coefficients of hauptmoduln $j_{N} (z)$ and $j_{N}^{+} (z),$ for some positive integers $N$ . We use elementary meth…

Ramanujan-style congruences for prime level

Congruences in Hermitian Jacobi and Hermitian modular forms

On the parity of the Fourier coefficients of hauptmoduln jN​(z) and jN+​(z)

On the parity of the Fourier coefficients of hauptmoduln $j_{N} (z)$ and $j_{N}^{+} (z)$