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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math.NT2025

How often are $⌊ n^{α} ⌋$ and $⌊ n^{β} ⌋$ simultaneously primes?

Anup B. Dixit, Nikhil S Kumar

Let $⌊ x ⌋$ denote the greatest integer less than or equal to a real number $x$ . Given real numbers $0 < α_{1} < α_{2} < \dots < α_{k} < 1$ satisfying a certain condition,…

math.NT2025

A p-adic criterion for Lehmer's conjecture

Anup B. Dixit, Sushant Kala

For a non-zero algebraic number $α$ of degree $d$ , let $h (α)$ denote its logarithmic Weil height. It is known that when $h (α)$ is small, and $d$ is large, the conjugates of $α$ are…

How often are ⌊nα⌋ and ⌊nβ⌋ simultaneously primes?

A p-adic criterion for Lehmer's conjecture

How often are $⌊ n^{α} ⌋$ and $⌊ n^{β} ⌋$ simultaneously primes?