Zobrazeno 1 - 10
of 13
pro vyhledávání: '"Z. Kh. Rakhmonov"'
Autor:
Z. Kh. Rakhmonov
Publikováno v:
Chebyshevskii sbornik. 23:156-168
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a1ed4fa70f94946ba99d8ca246373e5f
https://doi.org/10.22405/2226-8383-2022-23-3-156-168
https://doi.org/10.22405/2226-8383-2022-23-3-156-168
Publikováno v:
Chebyshevskii sbornik. 20:271-293
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d087e08cd3a11365d661bf4023787052
https://doi.org/10.22405/2226-8383-2019-20-4-271-293
https://doi.org/10.22405/2226-8383-2019-20-4-271-293
Autor:
Z. Kh. Rakhmonov, F.Z. Rakhmonov
Publikováno v:
Chebyshevskii sbornik. 20:246-270
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3329a40da0898f96d018cf0e9507ccbb
https://doi.org/10.22405/2226-8383-2019-20-4-246-270
https://doi.org/10.22405/2226-8383-2019-20-4-246-270
Autor:
Z. Kh. Rakhmonov
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 299:219-245
For a nonprincipal character χ modulo D, we prove a nontrivial estimate of the form Σn≤x Λ(n)χ(n − l) $$ \ll x\exp \{ - 0.6\sqrt {\ln D} \} $$ for the sum of values of χ over a sequence of shifted primes in the case when x ≥ D1/2+e, (l,D)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9cd17735edd5ac46ba6ac8644bbbfb60
https://doi.org/10.1134/s0081543817080156
https://doi.org/10.1134/s0081543817080156
Autor:
Z. Kh. Rakhmonov, F. Z. Rakhmonov
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 296:211-233
For y ≥ x 4/5 L 8B+151 (where L = log(xq) and B is an absolute constant), a nontrivial estimate is obtained for short cubic exponential sums over primes of the form S 3(α; x, y) = ∑ x−y
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ff6a80474a2b52521dd65687285d5afe
https://doi.org/10.1134/s0081543817010175
https://doi.org/10.1134/s0081543817010175
Autor:
Z. Kh. Rakhmonov
Publikováno v:
Mathematical Notes. 95:407-417
We prove an asymptotic formula for the number of representations of a sufficiently large natural number N as the sum of two primes p1 and p2 and the cube of a natural numbermsatisfying the conditions |pi − N/3| ≤ H, |m3 − N/3| ≤ H, H ≥ N5/6
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::553940497afb8ea60edcc8909b53c8a9
https://doi.org/10.1134/s0001434614030122
https://doi.org/10.1134/s0001434614030122
Autor:
Z. Kh. Rakhmonov
Publikováno v:
Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics. 13:113-117
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6241a9d907314651a01a590ba3ae88ef
https://doi.org/10.18500/1816-9791-2013-13-4-113-117
https://doi.org/10.18500/1816-9791-2013-13-4-113-117
Autor:
Z. Kh. Rakhmonov
Publikováno v:
Mathematical Notes. 74:534-542
We prove an asymptotic formula for the number of representations of a sufficiently large positive integer N as the sum of two primes and the square of a natural number when they are almost equal.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8b3adf7091bc78be624686728a5d19cc
https://doi.org/10.1023/a:1026199928464
https://doi.org/10.1023/a:1026199928464
Autor:
Z Kh Rakhmonov
Publikováno v:
Russian Academy of Sciences. Izvestiya Mathematics. 44:555-569
A new estimate is obtained for the mean values of Chebyshev functions over all primitive characters whose modulus does not exceed a given quantity.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::245b85d139700ae817153fe917f87467
https://doi.org/10.1070/im1995v044n03abeh001613
https://doi.org/10.1070/im1995v044n03abeh001613
Autor:
Z Kh Rakhmonov
Publikováno v:
Russian Academy of Sciences. Izvestiya Mathematics. 43:49-64
A new bound for the mean values of Chebyshev functions, taken over all Dirichlet characters, is obtained.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::20e29203abc80935fb8751c34be00bb2
https://doi.org/10.1070/im1994v043n01abeh001558
https://doi.org/10.1070/im1994v043n01abeh001558