Aditi Savalia

activity

20232025

collaborators

3 papers

math.NT2025

New zero-free regions for Dedekind zeta-functions at small and large ordinates

Sourabhashis Das, Swati Gaba, Ethan Simpson Lee +2

Given a number field $L \neq = Q$ , we obtain new and explicit zero-free regions for Dedekind zeta-functions of $L$ , which refine the previous works of Ahn--Kwon, Kadiri, and…

math.NT2024

A segment of Euler product associated to a certain Dirichlet series

Rajat Gupta, Aditi Savalia

In the spirit of the work of Hardy-Littlewood and Lavrik, we study the Dirichlet series associated to the generalized divisor function $σ_{α} (n) := \sum_{d ∣ n} d^{α}$ . We obtain an exact i…

math.NT2023

An induction principle for the Bombieri-Vinogradov theorem over $F_{q} [t]$ and a variant of the Titchmarsh divisor problem

Sampa Dey, Aditi Savalia

Let $F_{q} [t]$ be the polynomial ring over the finite field $F_{q}$ . For arithmetic functions $ψ_{1}, ψ_{2} : F_{q} [t] \to C$ , we establish t…

New zero-free regions for Dedekind zeta-functions at small and large ordinates

A segment of Euler product associated to a certain Dirichlet series

An induction principle for the Bombieri-Vinogradov theorem over Fq​[t] and a variant of the Titchmarsh divisor problem

An induction principle for the Bombieri-Vinogradov theorem over $F_{q} [t]$ and a variant of the Titchmarsh divisor problem