A. Vatwani

activity

20182022

L

-functions in the Selberg class

1 citations · 1 across the 2 of their papers we have counts for

collaborators

4 papers

math.NT2022★ 1 cited

Riesz type criteria for $L$ -functions in the Selberg class

Shivajee Gupta, Akshaa Vatwani

We formulate a generalization of Riesz-type criteria in the setting of $L$ -functions belonging to the Selberg class. We obtain a criterion which is sufficient for the Grand Riemann…

math.NT2020

Joint Extreme values of $L$ -functions

Kamalakshya Mahatab, Łukasz Pańkowski, Akshaa Vatwani

We consider $L$ -functions $L_{1}, \dots, L_{k}$ from the Selberg class which have polynomial Euler product and satisfy Selberg's orthonormality condition. We show that on every vertical…

math.NT2019

Zeros of Dirichlet polynomials

Arindam Roy, Akshaa Vatwani

We consider a certain class of multiplicative functions $f : N \to C$ and study the distribution of zeros of Dirichlet polynomials $F_N(s)= \sum_{n\le N} f(n…

math.NT2018

Zeros of partial sums of $L$ -functions

Arindam Roy, Akshaa Vatwani

We consider a certain class of multiplicative functions $f : N \to C$ . Let $F (s) = \sum_{n = 1}^{\infty} f (n) n^{- s}$ be the associated Dirichlet series and $F_N(s…

Riesz type criteria for L-functions in the Selberg class

Joint Extreme values of L-functions

Zeros of Dirichlet polynomials

Zeros of partial sums of L-functions

Riesz type criteria for $L$ -functions in the Selberg class

Joint Extreme values of $L$ -functions

Zeros of partial sums of $L$ -functions