5 citations · 20 across the 14 of their papers we have counts for
14 papers
Two identities involving Cohen-Ramanujan expansions
Arya Chandran, K Vishnu Namboothiri
An arithmetical function is said to admit a \emph{Cohen-Ramanujan expansion} , if the series on the right hand side converges for…
A reciprocity theorem for the Cohen-Ramanujan sums and its application to Cohen-Ramanujan expansions in the second variable
K Vishnu Namboothiri, Vinod Sivadasan
For an arithmetical function , its Ramanujan expansion is a series expansion in the form where are complex numbers and $c_k(n…
On an identity of Delange and its application to Cohen-Ramanujan expansions
Vinod Sivadasan, K Vishnu Namboothiri
Srinivasa Ramanujan provided Fourier series expansions of certain arithmetical functions in terms of the exponential sum defined by $c_q(n)=\sum\limits_{\substack{{m=1}\\(m,q)=1}}^…
A Menon-type Identity derived using Cohen-Ramanujan sum
Arya Chandran, K Vishnu Namboothiri
Menon's identity is a classical identity involving gcd sums and the Euler totient function . We derived the Menon-type identity $\sum\limits_{\substack{m=1\\(m.n^s)_s=1}}^{n^s}…
Some asymptotic formulae involving Cohen-Ramanujan expansions
Arya Chandran, K Vishnu Namboothiri
Some necessary and sufficient conditions for the existence of Cohen-Ramanujan expansions for arithmetical functions were provided by these authors in [\textit{arXive preprint arXiv…
On a Ramanujan type expansion of arithmetical functions
Arya Chandran, K Vishnu Namboothiri
Srinivasa Ramanujan provided series expansions of certain arithmetical functions in terms of the exponential sums defined by $c_r(n) = \sum\limits_{\substack{{m=1}\\ (m,r)=1}}^{r}…
On two mean square averages of Dirichlet -function
Neha Elizabeth Thomas, Arya Chandran, K Vishnu Namboothiri
Finding the mean square averages of the Dirichlet -functions over Dirichlet characters of same parity is an active problem in number theory. Here we explicitly evaluate such…
A Menon-type Identity concerning Dirichlet characters and a generalization of the gcd function
Arya Chandran, Neha Elizabeth Thomas, K Vishnu Namboothiri
Menon's identity is a classical identity involving gcd sums and the Euler totient function . In a recent paper, Zhao and Cao derived the Menon-type identity $\sum\limits_{\subst…
A Menon-type identity using Klee's function
Arya Chandran, Neha Elizabeth Thomas, K Vishnu Namboothiri
Menon's identity is a classical identity involving gcd sums and the Euler totient function . A natural generalization of is the Klee's function . In this paper we deriv…
On the number of solutions of a restricted linear congruence
K Vishnu Namboothiri
Consider the linear congruence equation Denote by the lar…
On solving a restricted linear congruence using generalized Ramanujan sums
K Vishnu Namboothiri
Consider the linear congruence equation for . By , we mean the largest which divides an…
The Discrete Fourier Transform of even functions
K Vishnu Namboothiri
An -even function is a special type of periodic function mod . These functions were defined and studied for the the first time by McCarthy. An important example for suc…
Certain weighted averages of generalized Ramanujan sums
K Vishnu Namboothiri
We derive certain identities involving various known arithmetical functions and a generalized version of Ramanujan sum. L. Toth constructed certain weighted averages of Ramanujan s…
On Counting Twists of a Character Appearing in its Associated Weil Representation
K Vishnu Namboothiri
Consider an irreducible, admissible representation of GL(2,) whose restriction to GL(2, breaks up as a sum of two irreducible representations . If ,…