additive energy 1logarithmic bounds 1metric number theory 1poissonian pair correlation 1uniform distribution modulo 1 1
From the 1 of 3 linked papers with an AI index.
3 papers
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 be a subset of primes and for each prime , consider a subset of . 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 , almost all $(α_…