2 citations · 3 across the 7 of their papers we have counts for
8 papers
On sign changes of primitive Fourier coefficients of Siegel cusp forms
Karam Deo Shankhadhar, Prashant Tiwari
In this article, we establish quantitative results for sign changes in certain subsequences of primitive Fourier coefficients of a non-zero Siegel cusp form of arbitrary degree ove…
An Analogue of Weil's Converse Theorem for Harmonic Maass Forms of Polynomial Growth
Karam Deo Shankhadhar, Ranveer Kumar Singh
We construct a family of harmonic Maass forms of polynomial growth of any level corresponding to any cusp whose shadows are Eisenstein series of integral weight. We further conside…
Maass lifts of half-integral weight Eisenstein series and theta powers
Ajit Bhand, Karam Deo Shankhadhar, Ranveer Kumar Singh
In this paper, we explicitly construct mock modular forms whose shadows are Eisenstein series of arbitrary integral and half-integral weight, level and character at the cusps $\inf…
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…
Finite order elements in the integral symplectic group
Kumar Balasubramanian, M. Ram Murty, Karam Deo Shankhadhar
For , let $G=\Sp(2g,\mathbb{Z})$ be the integral symplectic group and be the set of all positive integers which can occur as the order of an element in .…
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…
Non-vanishing of -functions associated to cusp forms of half-integral weight
B. Ramakrishnan, Karam Deo Shankhadhar
In this article, we prove non-vanishing results for -functions associated to holomorphic cusp forms of half-integral weight on average (over an orthogonal basis of Hecke eigenfo…
On the Restriction Map for Jacobi Forms
B. Ramakrishnan, Karam Deo Shankhadhar
In this article we give the description of the kernel of the restriction map for Jacobi forms of index 2 and obtain the injectivity of on the space of Jacobi forms…