Mathematics, Algebra and Number Theory, Analysis, Statistics and Probability
12
Scopus Publications
Scopus Publications
Littlewood's estimates for L$L$-functions in the hyperelliptic ensemble Emanuel Carneiro, Pranendu Darbar, Mithun Kumar Das, Tolibjon Ismoilov, Antonio Pedro Ramos Bulletin of the London Mathematical Society, 2026 We investigate the analogs of certain classical estimates of Littlewood for the Riemann zeta‐function in the context of quadratic Dirichlet ‐functions over function fields. In some situations, we are actually able to establish finer results in the function field setup than what is currently known in the original number field setup, and this leads us to an educated guess on what could happen for the Riemann zeta‐function in such situations. Fourier analysis techniques play an important role in our approach.
Poissonian pair correlation for higher dimensional real sequences Tanmoy Bera, Mithun Kumar Das, Anirban Mukhopadhyay Mathematika, 2024 In this article, we examine the Poissonian pair correlation (PPC) statistic for higher dimensional real sequences. Specifically, we demonstrate that for , almost all , the sequence in has PPC conditionally on the additive energy bound of . This bound is more relaxed compared to the additive energy bound for one dimension as discussed in [Aistleitner, El‐Baz, and Munsch, Geom. Funct. Anal. 31 (2021), 483–512]. More generally, we derive the PPC for for almost all . As a consequence we establish the metric PPC for provided that all of the are greater than two.
