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.	E. A. Karatsuba, “Zeros of the three-dimensional Pauli-Jordan-Dirac function on spatial intervals”, TMF (to appear)

2024
2.	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
3.	E. A. Karatsuba, “The problem of summability of the Pauli–Jordan–Dirac series in Minkowski space”, Math. Notes, 116:5 (2024), 987–999

2023
4.	E. A. Karatsuba, “On the Computational Complexity of Compressed Power Series”, Math. Notes, 114:1 (2023), 92–98
5.	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]
6.	E. A. Karatsuba, “Dirac electron free field anticommutator and its zeros on time intervals”, Dokl. RAN. Math. Inf. Proc. Upr., 513 (2023), 44–50
7.	E.A. Karatsuba, “Dirac electron free field anticommutator and its zeros on time intervals”, Dokl. Math., 108:2 (2023), 363–368

2022
8.	E. A. Karatsuba, “A fast algorithm for computing the digamma function”, Autom. Remote Control, 83:10 (2022), 1576–1589
9.	E. A. Karatsuba, “Fast evaluation algorithms for elementary algebraic and inverse functions using the FEE method”, Problems Inform. Transmission, 58:3 (2022), 284–296

2021
10.	E. A. Karatsuba, “On an evaluation method for zeta constants based on a number theoretic approach”, Problems Inform. Transmission, 57:3 (2021), 265–280

2019
11.	E. A. Karatsuba, “On an Identity with Binomial Coefficients”, Math. Notes, 105:1 (2019), 145–147
12.	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
13.	E. A. Karatsuba, “On computation of the Bessel function by summing up the series”, Num. Anal. Appl., 12:4 (2019), 372–387

2018
14.	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

2017
15.	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
16.	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.

2016
17.	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.
18.	E. A. Karatsuba, “Letter to the Editor”, Problems Inform. Transmission, 52:1 (2016), 100–101

2015
19.	E. A. Karatsuba, “Bystrye approksimatsii nekotorykh teoretiko-chislovykh konstant”, Doklady Akademii Nauk, 462:2 (2015), 137–140
20.	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
21.	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

2014
22.	E. A. Karatsuba, “On one method for fast approximation of zeta constants by rational fractions”, Problems Inform. Transmission, 50:2 (2014), 186–202

2013
23.	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
24.	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

2012
25.	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
26.	E. A. Karatsuba, “On one asymptotic formula for the Euler constant”, Problems Inform. Transmission, 48:4 (2012), 342–346

2013
27.	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

2010
28.	A. A. Karatsuba, E. A. Karatsuba, “Physical mathematics in number theory”, Funct. Anal. Other Math., 3:1 (2010)	5 ^[x]
29.	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

2009
30.	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]
31.	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]
32.	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

2008
33.	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
34.	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]

2007
35.	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]

2005
36.	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]
37.	Karatsuba E.A., Moretti P., “Inversion time of large spins”, J. of Math. Phys., 46:4 (2005), 042101 , 7 pp.	2 ^[x]

2004
38.	Karatsuba E.A., “Approximation of sums of oscillating summands in certain physical problems”, J. of Math. Phys., 45:11 (2004), 4310–4321	11 ^[x]

2001
39.	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]
40.	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]
41.	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]
42.	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]
43.	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]

2000
44.	Karatsuba E.A., “On the computation of the Euler constant $\gamma$”, J. of Numerical Algorithms, 24:1–2 (2000), 83–97	31 ^[x]

1999
45.	Karatsuba E.A., “Fast evaluation of hypergeometric function by FEE”, Approximation & Decomposition, 11, eds. Papamichael N. et al., World Scientific, Singapore, 1999, 303–314

1998
46.	E. A. Karatsuba, “Fast Evaluation of the Hurwitz Zeta Function and Dirichlet $L$-Series”, Problems Inform. Transmission, 34:4 (1998), 342–353

1996
47.	E. A. Karatsuba, “On the fast calculation of the Riemann zeta function for integer argument”, Dokl. Akad. Nauk, 349:4 (1996), 463

1995
48.	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

1993
49.	Karatsuba Catherine A., “Fast Evaluation of Bessel Functions”, Integral Transforms and Special Functions, 1:4 (1993), 269–276	10 ^[x]
50.	E. A. Karatsuba, “Fast Evaluation of $\zeta(3)$”, Problems Inform. Transmission, 29:1 (1993), 58–62

1991
51.	E. A. Karatsuba, “Fast computation of transcendental functions”, Dokl. Math., 43:3 (1991), 693–694
52.	E. A. Karatsuba, “Fast Evaluation of Transcendental Functions”, Problems Inform. Transmission, 27:4 (1991), 339–360
53.	E. A. Karatsuba, “On a new method for fast evaluation of transcendental functions”, Russian Math. Surveys, 46:2 (1991), 246–247

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