38 citations · 92 across the 14 of their papers we have counts for
14 papers
A simple extension of Ramanujan-Serre derivative map and some applications
B. Ramakrishnan, Brundaban Sahu, Anup Kumar Singh
If is a modular form of weight , then the differential operator defined by (kno…
Representations of squares by certain diagonal quadratic forms in odd number of variables
B. Ramakrishnan, Brundaban Sahu, Anup Kumar Singh
In this paper, we consider the following diagonal quadratic forms \begin{equation*} a_1x_1^2 + a_2x_2^2 + \cdots + a_{\ell}x_{\ell}^2, \end{equation*} where is an odd i…
Certain quaternary quadratic forms of level 48 and their representation numbers
B. Ramakrishnan, Brundaban Sahu, Anup Kumar Singh
In this paper, we find a basis for the space of modular forms of weight on . We use this basis to find formulas for the number of representations of a positive integer…
Representations of an integer by some quaternary and octonary quadratic forms
B. Ramakrishnan, Brundaban Sahu, Anup Kumar Singh
In this paper we consider certain quaternary quadratic forms and octonary quadratic forms and by using the theory of modular forms, we find formulae for the number of representatio…
On the number of representations of certain quadratic forms and a formula for the Ramanujan Tau function
B. Ramakrishnan, Brundaban Sahu, Anup Kumar Singh
In this paper, we find the number of representations of the quadratic form for using the…
On the representations of a positive integer by certain classes of quadratic forms in eight variables
B. Ramakrishnan, Brundaban Sahu, Anup Kumar Singh
In this paper we use the theory of modular forms to find formulas for the number of representations of a positive integer by certain class of quadratic forms in eight variables, vi…