1 citations · 2 across the 6 of their papers we have counts for
6 papers
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…
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 can be written as the sum of a prime number and a number that has at mo…
Some explicit results on the sum of a prime and an almost prime
Daniel R. Johnston, Valeriia V. Starichkova
Inspired by a classical result of Rényi, we prove that every even integer can be written as the sum of a prime and a number with at most 395 prime factors. We also show,…
An explicit version of Chen's theorem and the linear sieve
Matteo Bordignon, Daniel R. Johnston, Valeriia Starichkova
Drawing inspiration from the work of Nathanson and Yamada we prove that every even integer larger than can be written as the sum of a prime and the product of…
Explicit lower bounds on
Michael J. Mossinghoff, Valeriia V. Starichkova, Timothy S. Trudgian
Let denote a primitive, non-quadratic Dirichlet character with conductor , and let denote its associated Dirichlet -function. We show that $|L(1, χ)| \geq 1/(9.…
Atkinson's formula for the mean square of with an explicit error term
Aleksander Simonič, Valeriia V. Starichkova
We provide an explicit -term of the celebrated Atkinson's formula for the error term of the second power moment of the Riemann zeta-function on the…