Divyum Sharma

activity

20162024

collaborators

4 papers

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- $α$ numeration sy…

math.NT2022

Diagonalizable Thue Equations -- revisited

N. Saradha, Divyum Sharma

Let $r, h \in N$ with $r \geq 7$ and let $F (x, y) \in Z [x, y]$ be a binary form such that \[ F(x , y) =(αx + βy)^r -(γx + δy)^r, \] where $α$ , $β$ , $γ$ and $δ$ are alge…

math.NT2017

Joint distribution in residue classes of the base- $q$ and Ostrowski digital sums

Divyum Sharma

Let $q$ be an integer $\geq 2$ and let $S_{q} (n)$ denote the sum of digits of $n$ in base $q$ . For \[ α=[0;\overline{1,m}],\ m\geq 2, \] let $S_{α} (n)$ denote the sum of digits in the…

math.NT2016

Contributions to a conjecture of Mueller and Schmidt on Thue inequalities