Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Starichkova, Valeriia"'
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 most two prime factors.
Comment: 23 pages
Comment: 23 pages
Externí odkaz:
http://arxiv.org/abs/2211.08844
Inspired by a classical result of R\'enyi, we prove that every even integer $N\geq 4$ can be written as the sum of a prime and a number with at most 369 prime factors. We also show, under assumption of the generalised Riemann hypothesis, that this re
Externí odkaz:
http://arxiv.org/abs/2208.01229
Drawing inspiration from the work of Nathanson and Yamada we prove that every even integer larger than $\exp (\exp (32.7))$ can be written as the sum of a prime and the product of at most two primes.
Externí odkaz:
http://arxiv.org/abs/2207.09452
Let $\chi$ denote a primitive, non-quadratic Dirichlet character with conductor $q$, and let $L(s, \chi)$ denote its associated Dirichlet $L$-function. We show that $|L(1, \chi)| \geq 1/(9.12255 \log(q/\pi))$ for sufficiently large $q$, and that $|L(
Externí odkaz:
http://arxiv.org/abs/2107.09230
Publikováno v:
J. Number Theory 244 (2023), 111-168
We provide an explicit $O\left(\log^2{T}\right)$-term of the celebrated Atkinson's formula for the error term $E(T)$ of the second power moment of the Riemann zeta-function on the critical line. As an application, we obtain an explicit version of wel
Externí odkaz:
http://arxiv.org/abs/2105.06821
Publikováno v:
In Journal of Number Theory March 2023 244:111-168
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Publikováno v:
In Journal of Number Theory November 2022 240:641-655
Let $��$ denote a primitive, non-quadratic Dirichlet character with conductor $q$, and let $L(s, ��)$ denote its associated Dirichlet $L$-function. We show that $|L(1, ��)| \geq 1/(9.12255 \log(q/��))$ for sufficiently large $q$, and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dc911f86a1262cbf5c7596e588892986
Akademický článek
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