2 papers
math.NT2025
On a Variant of Pillai's problem involving convergent denominators of quadratic irrationals
Mohit Mittal
Let be the sequence of convergent denominators to the simple continued fraction expansion of . For certain specific choices of , this sequence is a…
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…