9 citations · 10 across the 6 of their papers we have counts for
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Variant of Ramanujan polynomials and a conjecture of Maji & Sarkar
Mrityunjoy Charan, Jaban Meher, Siddhi Pathak
We settle a conjecture proposed by B. Maji and T. Sarkar regarding the location of zeros of a two-parameter family of reciprocal polynomials, for positive integers…
On signs of Hecke eigenvalues of Siegel eigenforms
Arvind Kumar, Jaban Meher, Karam Deo Shankhadhar
In this article, we distinguish Siegel cuspidal eigenforms of degree two on the full symplectic group from the signs of their Hecke eigenvalues. To establish our theorem, we obtain…
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 theory of Hermitian Jacobi forms over $\mathbb{Q}(i…
On the coefficients of symmetric power -functions
Jaban Meher, Karam Deo Shankhadhar, G. K. Viswanadham
We study the signs of the Fourier coefficients of a newform. Let be a normalized newform of weight for . Let be the th Fourier coefficient of . For a…
Sign changes of coefficients of certain Dirichlet series
Jaban Meher, Sudhir Pujahari, Karam Deo Shankhadhar
In this paper, we give criteria for infinitely many sign changes of the coefficients of any Dirichlet series if the coefficients are real numbers. We also provide examples where ou…
Oscillations of coefficients of Dirichlet series attached to automorphic forms
Jaban Meher, M. Ram Murty
For , let be an irreducible cuspidal automorphic representation of with unitary central character. Let be the coeffici…
A short note on sign changes
Jaban Meher, Karam Deo Shankhadhar, G. K. Viswanadham
In this paper, we present a quantitative result for the number of sign changes for the sequences of the Fourier coefficients of normalized Hecke eige…
Some remarks on Rankin-Cohen brackets of eigenforms
Jaban Meher
We investigate the cases for which products of two quasimodular or nearly holomorphic eigenforms are eigenforms. We also genaralize the results of Ghate \cite{ghate1} to the case o…