2 papers
math.GM2026
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…
math.GM2025
On Characterizing Potential Friends of 20
Tapas Chatterjee, Sagar Mandal, Sourav Mandal
Does have a friend? Or is it a solitary number? A folklore conjecture asserts that has no friends i.e. it is a solitary number. In this article, we prove that, a friend $…