3 papers
math.NT2026
Additive Diophantine Equations involving S-Units, Factorials and Ternary Recurrences with repeated root
Vikas Godara, Divyum Sharma
Let denote the th Cullen number. There has been recent interest in finding all Cullen numbers having a given Diophantine property. We prove that, for a fixed intege…
math.NT2025
Explicit and Mixed Estimates for Thue inequalities with few coefficients
N. Saradha, Divyum Sharma
Let be an irreducible form of degree and having non-zero coefficients. Let be an integer and consider the Thue inequality Fol…
math.NT2024
On the representation of an integer in Ostrowski and recurrence numeration systems
Mohit Mittal, Divyum Sharma
We provide an effective upper bound for positive integers with bounded Hamming weights with respect to both a linear recurrence numeration system and an Ostrowski- numeration s…