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math.NT2021
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…
math.NT2020
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…
math.NT2019
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…