3 citations · 9 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…
Figurate numbers, forms of mixed type and their representation numbers
B. Ramakrishnan, Lalit Vaishya
In this article, we consider the problem of determining formulas for the number of representations of a natural number by a sum of figurate numbers with certain positive intege…
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…
On triangular numbers, forms of mixed type and their representation numbers
B. Ramakrishnan, Lalit Vaishya
In \cite{ono}, K. Ono, S. Robins and P.T. Wahl considered the problem of determining formulas for the number of representations of a natural number by a sum of triangular n…
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…