11 papers
On common values of and Nathanson's totient function
Sagar Mandal
In a recent paper, Chatterjee, the author and Mohan posed the problem of determining all solutions of the Diophantine equation , where is the -th Fibonacci numb…
On transcendence of non-periodic continued fractions associated with modular forms and arithmetic functions
Tapas Chatterjee, Sagar Mandal
The purpose of this article is two-folds. Firstly, we establish two sufficient conditions under which the sequence is non-periodic, where is an ar…
Exact and Asymptotic Counts of MSTD, MDTS, and Balanced Sets in Dicyclic Groups
Sagar Mandal, Neetu
We investigate the relationship between the sizes of the sum and difference sets of the Dicyclic Group . We first determine the exact numbers of MSTD (more sums…
Divisibility and Sequence Properties of and
Sagar Mandal
Inspired by Lehmer's and Deaconescu's conjectures, as well as various analogue problems concerning Euler's totient function , Schemmel's totient function , Jordan…
Prime Divisors of 10's Friends: A Generalization of Prior Bounds
Sagar Mandal
10 is the smallest positive integer which is whether solitary or friendly is still an open question in mathematics. In this paper, we provide upper bounds for each of the prime div…
A note on solitary numbers
Sagar Mandal
Does have a friend? Until now, this has been an open question. In this note, we prove that a potential friend of is an odd, non-square positive integer. appears i…