Zobrazeno 1 - 10
of 36
pro vyhledávání: '"A. Glibichuk"'
Autor:
Glibichuk, Alexey
Assume that $A\subseteq \Fp, B\subseteq \Fp^{*}$, $\1/4\leqslant\frac{|B|}{|A|},$ $|A|=p^{\alpha}, |B|=p^{\beta}$. We will prove that for $p\geqslant p_0(\beta)$ one has $$\sum_{b\in B}E_{+}(A, bA)\leqslant 15 p^{-\frac{\min\{\beta, 1-\alpha\}}{308}}
Externí odkaz:
http://arxiv.org/abs/1107.4679
Autor:
Glibichuk, Alexey
It is proved that for any two subsets $A$ and $B$ of an arbitrary finite field $\Fq$ such that $|A||B|>q$ the identity $16AB=\Fq$ holds. Moreover, it is established that for every subsets $X, Y\subset \Fq$ with the property $|X||Y|\geqslant 2q$ the e
Externí odkaz:
http://arxiv.org/abs/0801.2021
Autor:
Glibichuk, A. A., Konyagin, S. V.
Let $F_p$ be the field of a prime order $p$. Then for any positive integer $n>1$, for any $\epsilon>0$, and for any subset $A$ of $F_p$, every element of $F_p$ can be represented as a sum of $N$ elements, each of them is a product of $n$ elements fro
Externí odkaz:
http://arxiv.org/abs/math/0702729
Autor:
Yu. I. Bart, D. A. Glibichuk, R. Sh. Abdulaeva, M. V. Chernykh, А. Е. Kalinin, T. N. Borisova
Publikováno v:
Malignant tumours. 13:30-35
Stereotactic body radiotherapy for early stage non-small-cell lung cancer was, is, and will remain the key subject of discussions between radiation oncologists and surgeons. Despite the positive treatment outcomes reported in some large studies on ef
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::116079842d9248c783c23ec2063fa8d6
https://doi.org/10.18027/2224-5057-2023-13-1-30-35
https://doi.org/10.18027/2224-5057-2023-13-1-30-35
Autor:
Yu. I. Bart, D. A. Glibichuk, R. Sh. Abdulaeva, I. G. Avdyukhin, А. Е. Kalinin, M. V. Chernykh
Publikováno v:
Malignant tumours. 12:43-48
Despite the development of contemporary surgical management of retroperitoneal liposarcomas, local recurrence remains the major challenge in the treatment of these tumors. Currently, surgery is the main treatment option for liposarcoma. The internati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dc3c349e4674591db25699b45d7f865c
https://doi.org/10.18027/2224-5057-2022-12-3-43-48
https://doi.org/10.18027/2224-5057-2022-12-3-43-48
Autor:
Glibichuk, A. A.1 aanatol@mail.ru
Publikováno v:
Mathematical Notes. Mar/Apr2006, Vol. 79 Issue 3/4, p356-365. 10p.
Autor:
A. Glibichuk, J. Bourgain
Publikováno v:
Journal d'Analyse Mathématique. 115:51-70
Let F q be the finite field consisting of q = p r elements and yy an additive character of the field F q . Take an arbitrary multiplicative subgroup H of size |H| > q C/(log log q) for some constant C > 0 not largely contained in any multiplicative s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::86938e9fdcd3495cfda4f63dea686daa
https://doi.org/10.1007/s11854-011-0023-x
https://doi.org/10.1007/s11854-011-0023-x
Autor:
Aleksei A Glibichuk
Publikováno v:
Izvestiya: Mathematics. 75:253-285
We discuss the following problem: given an integer , a real number , and an arbitrary subset which is not contained in a multiplicative shift of a proper subfield of and satisfies , where is the finite field of elements, describe those positive integ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::53d78bfb81145f11943b9ac9486ef756
https://doi.org/10.1070/im2011v075n02abeh002534
https://doi.org/10.1070/im2011v075n02abeh002534
Publikováno v:
Известия Российской академии наук. Серия математическая. 75:35-68
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::09e76871a3eea689e34a03d34057b956
https://doi.org/10.4213/im4067
https://doi.org/10.4213/im4067
Autor:
Misha Rudnev, ALexey Glibichuk
Publikováno v:
Journal d'Analyse Mathématique. 108:159-170
It is proved that for any two subsets A and B of an arbitrary finite field \( \mathbb{F}_q \) such that |A||B| > q, the identity 10AB = \( \mathbb{F}_q \) holds. Under the assumption |A||B| ⩾2q, this improves to 8AB = \( \mathbb{F}_q \).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9035bf27389dc36fb9e55475d3d695dd
https://doi.org/10.1007/s11854-009-0021-4
https://doi.org/10.1007/s11854-009-0021-4