Valeriia V. Starichkova

activity

20212024

most citedAn explicit version of Chen's theorem assuming the Generalized Riemann Hypothesis

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

collaborators

3 papers

math.NT2024

On Lenstra's criterion for norm-Euclideanity of number fields and properties of Dedekind zeta-functions

Jordan Pertile, Valeriia V. Starichkova

In 1977, Lenstra provided a criterion for norm-Euclideanity of number fields and noted that this criterion becomes ineffective for number fields of large enough degrees under the G…

math.NT2022★ 1 cited

An explicit version of Chen's theorem assuming the Generalized Riemann Hypothesis

Matteo Bordignon, Valeriia Starichkova

We prove that assuming the Generalized Riemann Hypothesis every even integer larger than $exp (exp (15.85))$ can be written as the sum of a prime number and a number that has at mo…

math.NT2021

Explicit lower bounds on $∣ L (1, χ) ∣$

Michael J. Mossinghoff, Valeriia V. Starichkova, Timothy S. Trudgian

Let $χ$ denote a primitive, non-quadratic Dirichlet character with conductor $q$ , and let $L (s, χ)$ denote its associated Dirichlet $L$ -function. We show that $|L(1, χ)| \geq 1/(9.…

On Lenstra's criterion for norm-Euclideanity of number fields and properties of Dedekind zeta-functions

An explicit version of Chen's theorem assuming the Generalized Riemann Hypothesis

Explicit lower bounds on ∣L(1,χ)∣

Explicit lower bounds on $∣ L (1, χ) ∣$