E. Malavika

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math.NT2026

Bounding the exponential sum on squares of some sifted sequences

E. Malavika, Olivier Ramaré

Let $B$ denote the collection of odd primitive Gaussian integers and $n \mapsto b (n)$ denote the characteristic function of elements of $B$ . We prove that the…

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…