Persons: Karatsuba, Ekatherina Anatol'evna

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Karatsuba, Ekatherina Anatol'evna
(1963–2025)

Statistics
in MathSciNet:	33 (30)
in zbMATH:	11 (10)
in Web of Science:	15 (13)
in Scopus:	16 (14)

Head Scientist Researcher

Doctor of physico-mathematical sciences (2002)

Speciality:

01.01.09 (Discrete mathematics and mathematical cybernetics)

Website:

http://www.ccas.ru/karatsuba/index.htm

Keywords:

fast algorithms, bit complexity, BVE method, Euler gamma function, Riemann zeta function, zeta constants, Euler gamma constant, Catalan constant, ATS theorem, Jaynes-Cummings-Paul model, Pauli-Jordan-Dirac anticommutator.

UDC:

621.391.1, 681.327

Subject:

computational mathematics, computational complexity, fast algorithms, mathematical physics, special functions of mathematical physics, quantum field theory, quantum optics

Main publications:

E.A. Karatsuba, “Fast evaluation of transcendental functions”, Problems of Information Transmission, 27:4 (1991), 339–360
E. A. Karatsuba, “Fast evaluation of hypergeometric function by FEE”, Series Approximation and Decomposition, 11 (1999), 303–314
E. A. Karatsuba, “On the asymptotic representation of the Euler gamma function by Ramanujan”, Journal of Computational and Applied Mathematics, 135:2 (2001), 225–240
A. A. Karatsuba, E. A. Karatsuba, “Resummation formula for collapse and revival in the Jaynes-Cummings model”, Journal of Physics A: Mathematical and Theoretical, 42 (2009), 195304, 1–16
E.A. Karatsuba, “Fast Evaluation Algorithms for Elementary Algebraic and Inverse Functions Using the FEE Method”, Problems of Information Transmission, 58 (2022), 284–296

https://www.mathnet.ru/eng/person35192

List of publications on Google Scholar

https://mathscinet.ams.org/mathscinet/MRAuthorID/313805

https://elibrary.ru/author_items.asp?authorid=10883

ISTINA

https://istina.msu.ru/workers/425546196

https://orcid.org/0000-0003-4114-2059

https://www.webofscience.com/wos/author/record/AAB-3293-2022

https://www.scopus.com/authid/detail.url?authorId=6602447616

https://www.researchgate.net/profile/Ekaterina_Karatsuba

List of publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)

1.	Karatsuba E.A., “On the asymptotic representation of the Euler gamma function by Ramanujan”, J. Comput. Appl. Math., 135:2 (2001), 225–240	52 ^[x]
2.	Karatsuba E.A., “On the asymptotic representation of the Euler gamma function by Ramanujan”, Journal of Computational and Applied Mathematics, 135:2 (2001), 225–240	52 ^[x]
3.	Karatsuba E.A., “On the computation of the Euler constant $\gamma$”, J. of Numerical Algorithms, 24:1–2 (2000), 83–97	31 ^[x]
4.	A. A. Karatsuba, E. A. Karatsuba, “A resummation formula for collapse and revival in the Jaynes–Cummings model”, J. Phys. A, 42:19 (2009), 195304 , 16 pp.	19 ^[x]
5.	E. A. Karatsuba, “Fast Evaluation of Transcendental Functions”, Problems Inform. Transmission, 27:4 (1991), 339–360
6.	E. A. Karatsuba, “Fast Calculation of the Riemann Zeta Function $\zeta(s)$ for Integer Values of the Argument $s$”, Problems Inform. Transmission, 31:4 (1995), 353–362
7.	Karatsuba E.A., “Approximation of sums of oscillating summands in certain physical problems”, J. of Math. Phys., 45:11 (2004), 4310–4321	11 ^[x]
8.	E. A. Karatsuba, “Fast Evaluation of the Hurwitz Zeta Function and Dirichlet $L$-Series”, Problems Inform. Transmission, 34:4 (1998), 342–353
9.	Karatsuba Catherine A., “Fast Evaluation of Bessel Functions”, Integral Transforms and Special Functions, 1:4 (1993), 269–276	10 ^[x]
10.	E. A. Karatsuba, “On computation of the Bessel function by summing up the series”, Num. Anal. Appl., 12:4 (2019), 372–387
11.	Karatsuba E.A., “Fast computation of some special integrals of mathematical physics”, Scientific Computing, Validated Numerics, Interval Methods, eds. W.Krämer, J.W.von Gudenberg, Springer, Boston, MA, 2001, 29–41	8 ^[x]
12.	E. A. Karatsuba, “Fast Evaluation of $\zeta(3)$”, Problems Inform. Transmission, 29:1 (1993), 58–62
13.	E. A. Karatsuba, “On a new method for fast evaluation of transcendental functions”, Russian Math. Surveys, 46:2 (1991), 246–247
14.	A. A. Karatsuba, E. A. Karatsuba, “Application of ATS in a quantum-optical model”, Analysis and mathematical physics, Trends Math., Birkhäuser Verlag, Basel, 2009, 211–232	6 ^[x]
15.	Karatsuba E.A., Vuorinen M., “On hypergeometric functions and generalization of Legendre's relation”, J. Math. Anal. Appl., 260:2 (2001), 623–640	6 ^[x]
16.	Karatsuba E.A., “Fast computation of $\zeta(3)$ and of some special integrals using the Ramanujan formula and polylogarithms”, BIT Numerical Mathematics, 41:4 (2001), 722–730	6 ^[x]
17.	E. A. Karatsuba, “On one asymptotic formula for the Euler constant”, Problems Inform. Transmission, 48:4 (2012), 342–346
18.	A. A. Karatsuba, E. A. Karatsuba, “Physical mathematics in number theory”, Funct. Anal. Other Math., 3:1 (2010)	5 ^[x]
19.	E. A. Karatsuba, “Zeros and points of discontinuity of the commutator function of the free Dirac field”, Quantum Information and Foundations of Quantum Theory, Journal of Physics: Conference Series, 128, 2008, 012015 , 11 pp.	5 ^[x]
20.	Karatsuba E.A., “On an approach to the study of the Jaynes–Cummings sum in quantum optics”, J. of Numerical Algorithms, 45:1–4 (2007), 127–137	5 ^[x]
21.	E. A. Karatsuba, “On one method for fast approximation of zeta constants by rational fractions”, Problems Inform. Transmission, 50:2 (2014), 186–202
22.	E. A. Karatsuba, “The Mean Square of the Pauli–Jordan–Dirac Anticommutator With Respect to Spatial Variables”, Russ. J. Math. Phys., 30 (2023), 522–527	3 ^[x]
23.	E. A. Karatsuba, “Fast Catalan constant computation via the approximations obtained by the Kummer's type transformations”, Discrete Math. Appl., 23:5-6 (2013), 429–443
24.	E. A. Karatsuba, “Approximation of exponential sums in the problem on the oscillator motion caused by pushes”, Chebyshevskii sb., 6:3 (2005), 205–224	3 ^[x]
25.	E. A. Karatsuba, “On the fast calculation of the Riemann zeta function for integer argument”, Dokl. Akad. Nauk, 349:4 (1996), 463
26.	E. A. Karatsuba, “Fast computation of transcendental functions”, Dokl. Math., 43:3 (1991), 693–694
27.	E. A. Karatsuba, “Dirac electron free field anticommutator and its zeros on time intervals”, Dokl. RAN. Math. Inf. Proc. Upr., 513 (2023), 44–50
28.	E.A. Karatsuba, “Dirac electron free field anticommutator and its zeros on time intervals”, Dokl. Math., 108:2 (2023), 363–368
29.	E. A. Karatsuba, “On an Identity with Binomial Coefficients”, Math. Notes, 105:1 (2019), 145–147
30.	E. A. Karatsuba, “On One method for constructing a family of approximations of zeta constants by rational fractions”, Problems Inform. Transmission, 51:4 (2015), 378–390
31.	Karatsuba E.A., Moretti P., “Inversion time of large spins”, J. of Math. Phys., 46:4 (2005), 042101 , 7 pp.	2 ^[x]
32.	E. A. Karatsuba, “On an evaluation method for zeta constants based on a number theoretic approach”, Problems Inform. Transmission, 57:3 (2021), 265–280
33.	E. A. Karatsuba, “Application of the Jacobi functional equation and the ATS theorem in a quantum optical model”, Comput. Math. Math. Phys., 57:11 (2017), 1822–1842
34.	E. A. Karatsuba, “Method for estimating the number of zeros of the spatially one-dimensional Pauli–Jordan–Dirac function on spatial intervals using the Kronecker theorem”, Theoret. and Math. Phys., 220:3 (2024), 1429–1439
35.	E. A. Karatsuba, “The problem of summability of the Pauli–Jordan–Dirac series in Minkowski space”, Math. Notes, 116:5 (2024), 987–999
36.	E. A. Karatsuba, “On the Computational Complexity of Compressed Power Series”, Math. Notes, 114:1 (2023), 92–98
37.	E. A. Karatsuba, “A fast algorithm for computing the digamma function”, Autom. Remote Control, 83:10 (2022), 1576–1589
38.	E. A. Karatsuba, “Fast evaluation algorithms for elementary algebraic and inverse functions using the FEE method”, Problems Inform. Transmission, 58:3 (2022), 284–296
39.	E. A. Karatsuba, P. Moretti, “Probability of inversion of a large spin in the form of an asymptotic expansion in a series of Bessel functions”, Problems Inform. Transmission, 55:1 (2019), 53–66
40.	A. A. Aduenko, A. S. Vasileisky, E. A. Karatsuba, A. I. Karelov, I. A. Reyer, K. V. Rudakov, V. V. Strijov, “Detection of persistent scatterer pairs on satellite radar images with use of surface relief data”, Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2018, no. 2, 29–43
41.	E. A. Karatsuba, “Bystrye approksimatsii nekotorykh teoretiko-chislovykh konstant”, Doklady Akademii Nauk, 462:2 (2015), 137–140
42.	Vasileiskii A.S., Karatsuba E.A., Karelov A.I., Kuznetsov M.P., Reier I.A., “Obnaruzhenie dvizheniya ustoichivykh otrazhatelei po serii sputnikovykh radiolokatsionnykh snimkov zemnoi poverkhnosti”, Mashinnoe obuchenie i analiz dannykh, 1:5 (2013), 487–502
43.	Vasileiskii A.S., Karatsuba E.A., Karelov A.I., Kuznetsov M.P., Reier I.A., “Algoritm vydeleniya ustoichivykh otrazhatelei na sputnikovykh radiolokatsionnykh snimkakh zemnoi poverkhnosti”, Mashinnoe obuchenie i analiz dannykh, 1:4 (2012), 473–484
44.	A. A. Karatsuba, E. A. Karatsuba, “On application of the functional equation of the Jacobi theta function to approximation of atomic inversion in the Jaynes-Cummings model”, Pacific Journal of Applied Mathematics, 2:3 (2010), 41–63
45.	A. A. Karatsuba, E. A. Karatsuba, “The “problem of remainders” in theoretical physics: “physical zeta” function”, Proceedings of the 5th Mathematical Physics Meeting: Summer School and Conference on Modern Mathematical Physics (Institute of Physics, Belgrade, Serbia), eds. B. Dragovich and Z. Rakic, 2009, 197–210
46.	Karatsuba E.A., “The Commutator Function of the Free Dirac Field in the Discrete Representation and its Zeros”, Pacific Journal of Applied Mathematics, 1:2 (2008), 37–55
47.	Karatsuba E.A., “Fast evaluation of hypergeometric function by FEE”, Approximation & Decomposition, 11, eds. Papamichael N. et al., World Scientific, Singapore, 1999, 303–314
48.	E. A. Karatsuba, “Zeros of the three-dimensional Pauli-Jordan-Dirac function on spatial intervals”, TMF (to appear)
49.	E. A. Karatsuba, M. A. Korolev, I. S. Rezvyakova, V. N. Chubarikov, “On the conference to the memory of Anatoly Alexeevitch Karatsuba on number theory and applications”, Chebyshevskii Sb., 16:1 (2015), 89–152
50.	S. A. Gritsenko, E. A. Karatsuba, M. A. Korolev, I. S. Rezvyakova, D. I. Tolev, M. E. Changa, “Scientific Achievements of Anatolii Alekseevich Karatsuba”, Proc. Steklov Inst. Math., 280, suppl. 2 (2013), S1–S22
51.	E. A. Karatsuba, “Letter to the Editor”, Problems Inform. Transmission, 52:1 (2016), 100–101
52.	Teoriya chisel i prilozheniya, 2, K 80-letiyu so dnya rozhdeniya professora Anatoliya Alekseevicha Karatsuby, Sovr. probl. matem., 24, ed. E. A. Karatsuba, MIAN, M., 2017 , 104 pp.
53.	Teoriya chisel i prilozheniya, 1, K 80-letiyu so dnya rozhdeniya professora Anatoliya Alekseevicha Karatsuby, Sovr. probl. matem., 23, ed. E. A. Karatsuba, MIAN, M., 2016 , 114 pp.

Books in Math-Net.Ru

Number Theory and Applications, 2, Dedicated to 80th anniversary of professor Anatolii Alekseevich Karatsuba, Sovrem. Probl. Mat., 24, ed. E. A. Karatsuba, 2017, 104 с.
http://mi.mathnet.ru/book1679
Number Theory and Applications, 1, Dedicated to 80th anniversary of professor Anatolii Alekseevich Karatsuba, Sovrem. Probl. Mat., 23, ed. E. A. Karatsuba, 2016, 114 с.
http://mi.mathnet.ru/book1640

Organisations