Zobrazeno 1 - 10
of 13
pro vyhledávání: '"Ekatherina A. Karatsuba"'
Autor:
Ekatherina A. Karatsuba
Publikováno v:
Problems of Information Transmission. 57:265-280
New formulas for zeta constants are obtained based on a number theoretic approach that is used in proving irrationality of some classical constants. Using these formulas, one can approximate zeta constants and their combinations by rational fractions
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::19da722968380d095020ba3444344098
https://doi.org/10.1134/s0032946021030054
https://doi.org/10.1134/s0032946021030054
Publikováno v:
Matematicheskie Zametki. 105:149-152
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::470966f2ee5048d939acae8f0f5a6572
https://doi.org/10.4213/mzm11883
https://doi.org/10.4213/mzm11883
Publikováno v:
Diskretnaya Matematika. 25:74-87
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::745975c882ef065c5c220bfea1c7f866
https://doi.org/10.4213/dm1259
https://doi.org/10.4213/dm1259
Autor:
Irina Sergeevna Rezvyakova, Ekatherina Anatol'evna Karatsuba, Maxim Aleksandrovich Korolev, Максим Александрович Королeв, Maris Evgen'evich Changa, Sergey Alexandrovich Gritsenko, Dojchin Ivanov Tolev
Publikováno v:
Sovremennye Problemy Matematiki. 16:7-30
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::03d9136c555649ce0b23fadf475ea274
https://doi.org/10.4213/spm30
https://doi.org/10.4213/spm30
Publikováno v:
Functional Analysis and Other Mathematics. 3:113-125
The paper is about the problem of carefully estimating the bounds, which is sometimes missing in the theoretical physics. Possible consequences of the missing of the bounds is discussed on example of the Riemann zeta function. The text of the paper i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8bf7ddb031fc4f73890cc3c8ec861ef0
https://doi.org/10.1007/s11853-010-0044-5
https://doi.org/10.1007/s11853-010-0044-5
Autor:
Ekatherina A. Karatsuba
Publikováno v:
Journal of Mathematical Physics. 45:4310-4321
The motion of a one-dimensional harmonic oscillator caused by recurring pushes in the absence of friction is considered. In particular, two cases are studied: the case when the pushes become more frequent and the other one when the pushes become less
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7417ec095834e1eb820933b7325752b3
https://doi.org/10.1063/1.1797552
https://doi.org/10.1063/1.1797552
Autor:
Ekatherina A. Karatsuba
Publikováno v:
Journal of Computational and Applied Mathematics. 135(2):225-240
The problem of approximation to the Euler gamma function on the basis of some Ramanujan's formulas is considered. The function h(x)=(g(x))6−(8x3+4x2+x), where g(x)=(e/x) x Γ(1+x)/ π , is studied. It is proved that on the interval (1,∞) the func
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::db4a9e4eb0819d8d4725043270cdf016
Autor:
Ekatherina A. Karatsuba
Publikováno v:
Bit Numerical Mathematics. 41:722-730
The application of the Fast E-function Evaluation (FEE) method to fast calculation of the value of ζ(3) and of some special integrals on the basis of the Ramanujan formula and its generalization is considered.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bb86576d99fd54974701f0b2da3dc57f
https://doi.org/10.1023/a:1021948002934
https://doi.org/10.1023/a:1021948002934
Publikováno v:
Analysis and Mathematical Physics ISBN: 9783764399054
The problem of the interaction of a single two-level atom with a single mode of the quantized electromagnetic field in a coherent state in an ideal resonator in the resonance case is considered. The evolution in time of the atomic inversion, represen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2a786db6a2cba9f443a35c18e0f2c414
https://doi.org/10.1007/978-3-7643-9906-1_13
https://doi.org/10.1007/978-3-7643-9906-1_13
Autor:
Paolo Moretti, Ekatherina A. Karatsuba
Publikováno v:
Journal of mathematical physics 46 (2005): 042101–[7]. doi:10.1063/1.1860593
info:cnr-pdr/source/autori:Ekatherina A. Karatsuba (1); Paolo Moretti (2)/titolo:Inversion time of large spins/doi:10.1063%2F1.1860593/rivista:Journal of mathematical physics/anno:2005/pagina_da:042101/pagina_a:[7]/intervallo_pagine:042101–[7]/volume:46
info:cnr-pdr/source/autori:Ekatherina A. Karatsuba (1); Paolo Moretti (2)/titolo:Inversion time of large spins/doi:10.1063%2F1.1860593/rivista:Journal of mathematical physics/anno:2005/pagina_da:042101/pagina_a:[7]/intervallo_pagine:042101–[7]/volume:46
In order to find an accurate expression for the inversion probability of a large spin, an asymptotic expansion in series of Bessel functions is found, and a formula for the inversion time is obtained.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5920c0e69eab393a3798ccd11e0197dd