A. Dixit

activity

20172026

most citedA uniqueness property of general Dirichlet series

3 citations · 5 across the 14 of their papers we have counts for

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Showing 2022Show all

2 papers · 1 filter

math.NT2022

Linear independence of values of the $q$ -exponential and related functions

Anup B. Dixit, Veekesh Kumar, Siddhi S. Pathak

In this paper, we establish the linear independence of values of the $q$ -analogue of the exponential function, $E_{q} (x)$ and its derivatives at specified algebraic arguments, when $…

math.NT2022

An effective bound on Generalized Diophantine m-tuples

S. Bhattacharjee, A. B. Dixit, D. Saikia

For non-zero integers $n$ and $k \geq 2$ , a generalized Diophantine $m$ -tuple with property $D_{k} (n)$ is a set of $m$ positive integers $S = {a_{1}, a_{2}, \dots, a_{m}}$ such that $a_ia_j…

Linear independence of values of the q-exponential and related functions

An effective bound on Generalized Diophantine m-tuples

Linear independence of values of the $q$ -exponential and related functions