G. Viswanadham

collaborators

4 papers

math.NT2025

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 $S (α; N) = \sum_{b \in B, b \leq N} e (b α)$ satisfies \[ \frac{S(α; N)}…

math.NT2017

Bounded gaps between product of two primes in imaginary quadratic number fields

Pranendu Darbar, Anirban Mukhopadhyay, G. K. Viswanadham

We study the gaps between products of two primes in imaginary quadratic number fields using a combination of the methods of Goldston-Graham-Pintz-Yildirim \cite{GGPY}, and Maynard…

math.NT2017

On the coefficients of symmetric power $L$ -functions

Jaban Meher, Karam Deo Shankhadhar, G. K. Viswanadham

We study the signs of the Fourier coefficients of a newform. Let $f$ be a normalized newform of weight $k$ for $Γ_{0} (N)$ . Let $a_{f} (n)$ be the $n$ th Fourier coefficient of $f$ . For a…

Restriction estimates with sifted integers

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

Bounded gaps between product of two primes in imaginary quadratic number fields

On the coefficients of symmetric power L-functions

On the coefficients of symmetric power $L$ -functions