G. Viswanadham

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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.NT2025

The trigonometric polynomial on sums of two squares, an additive problem and generalisation

Olivier Ramare, GK Viswanadham

Let $B$ be the set of odd integers that are sums of two coprime squares. We prove that the trigonometric polynomial $S (I^\pm; N) = \sum_{b \in B, b \leq N} e (b I^\pm)$ satisfies \[ \frac{S(Î±;…