Tanmoy Bera

activity

20232025

collaborators

4 papers

math.NT2025

Restriction estimates with sifted integers

Tanmoy Bera, G. K. Viswanadham

Let $P$ be a subset of primes and for each prime $p \in P$ , consider a subset $L_{p}$ of $Z / p Z$ . We provide restriction estimates with…

math.NT2025

Metric Poissonian pair correlationa and additive energy

Tanmoy Bera, E. Malavika

In this article we prove that for a strictly increasing sequence $(a_{n})$ of natural numbers, if the additive energy of ${a_{n} : n \leq N}$ is less than $N^{3} / (lo g N)^{C}$ for some $C\g…

math.NT2024

Minimal gap for higher dimensional sequences

Tanmoy Bera

In this note, we extend the notion of minimal gaps to the higher dimensional sequences. We bound the minimal gap for $({a_{n} α}),$ $({a_{n} α})$ a…

math.NT2023

Poissonian pair correlation for higher dimensional real sequences

Tanmoy Bera, Mithun Kumar Das, Anirban Mukhopadhyay

In this article, we examine the Poissonian pair correlation (PPC) statistic for higher-dimensional real sequences. Specifically, we demonstrate that for $d \geq 3$ , almost all $(α_1…