Tanmoy Bera

works on

additive energy 1 logarithmic bounds 1 metric number theory 1 poissonian pair correlation 1 uniform distribution modulo 1 1

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math.NT2026

Metric Poissonian pair correlationa and additive energy

Tanmoy Bera, E. Malavika

The paper shows that for any strictly increasing integer sequence whose additive energy grows slower than N³/(log N)^C with C ≥ 14.71, the fractional parts of a_n α exhibit Poisson…

math.NT2026

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.NT2024

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 $(Î±_…

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 $({a_{n} I^\pm}),$ $({a_{n} I^\pm})$ …