[42] E. A. Karatsuba, On one asymptotic formula for the Euler constant // Problems of Information Transmission, Volume 48, Issue 4, pp. 342—346 (2012).
[40] Anatolii A. Karatsuba and Ekatherina 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, Vol. 2, No. 3, pp. 41—63 (2010).
[38] A. A. Karatsuba, E. A. Karatsuba. Application of ATS in a quantum-optical model. Analysis and Mathematical Physics: Trends in Mathematica Physics, Birkhauser Verlag, Basle, pp. 209--230 (2009).
[37] 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. Ed. by B. Dragovich and Z. Rakic. Institute of Physics, Belgrade, Serbia, pp. 197--210 (2009).
[36]E. A. Karatsuba. Zeros and points of discontinuity of the commutator function of the free Dirac field. Journal of Physics: Conference Series, IOP Publ., Vol.128, Quantum Information and Foundations of Quantum Theory, pp. 012015:1--11 (2008).
[35] Karatsuba E.A.: Investigating zeros and points of discontinuity of the commutator function of the free Dirac field. Abstracts "5th MATHEMATICAL PHYSICS MEETING: Summer School and Conference on Modern Mathematical Physics (Belgrade, Serbia, July 6--17, 2008)", p. 28 (2008).
[34]Karatsuba E.A.: The Commutator Function of the Free Dirac Field in the Discrete Representation and its Zeros. Pacific Journal of Applied Mathematics, Vol. 1, No. 2, pp. 37--55 (2008).
[33] Karatsuba E.A.: On an approach to the study of the Jaynes–Cummings sum in quantum optics , J. of Numerical Algorithms,Proceedings of the First Dolomites workshop on constructive approximation theory and applications (DWCAA06) Vol. 45, No. 1-4 , pp. 127-137 (2007).
[32] Karatsuba E.A.: On approximation of exponential sums in certain physical problems. Abstracts "First Dolomites workshop on constructive approximation theory and applications (DWCAA06)", pp. 52-53 (2006).
[31] Karatsuba E.A.: Approximation of exponential sums in the problem on the oscillator motion caused by pushes (English). Chebyshev's transactions, Vol.6, No.3(15), pp.205-224 (2005).
[30] Karatsuba E.A., Moretti P.: Inversion time of large spins. (English) J. of Math. Phys., Vol.46, No.4, 042101-1—042101-7 (2005).
[29] Karatsuba E.A.: Approximation of sums of oscillating summands in certain physical problems. (English) J. of Math. Phys., Vol.45, No.11, pp.4310-4321 (2004).
[28] Karatsuba E.A.: On Some Problems of Approximation and Computation of Classical Functions and Constants. (Russian) Dissertation, Moscow, 136 pp., (2002).
[27] Karatsuba E.A.: On Some Problems of Approximation and Computation of Classical Functions and Constants. (Russian) Autoreferat of the dissertation, Moscow, 28 pp, (2002).
[26] Karatsuba E.A.: Fast computation of some special integrals of mathematical physics. (English) Scientific Computing, Validated Numerics, Interval Methods, W.Krämer, J.W.von Gudenberg, eds.; pp. 29-41, (2001).
[23] Karatsuba E.A., Vuorinen M.: On hypergeometric functions and generalization of Legendre's relation. J. Math. Anal. Appl. Vol.260, No.2, pp.623-640 (2001).
[21] Karatsuba E.A.: On the asymptotic representation of the Euler gamma function by Ramanujan. (English) University of Helsinki preprint, 22 pp. (1999).
[20] Karatsuba Ekatharine A.: Fast evaluation of hypergeometric function by FEE. (English) Papamichael, N. (ed.) et al., Proceedings of the 3rd CMFT conference on computational methods and function theory 1997, Nicosia, Cyprus, October 13-17, 1997. Singapore: World Scientific. Ser. Approx. Decompos. Vol.11, pp.303-314 (1999).
[19] Karatsuba E.A.: On the computation of the Euler constant gamma. University of Helsinki preprint, 21 pp. (1999).
[18] Karatsuba E.A., Vuorinen M.: On hypergeometric functions and generalization of Legendre's relation. University of Helsinki preprint, 16 pp. (1998).
[16] Karatsuba Ekaterina A.: New correlations between the Riemann zeta function and the derivatives of the gamma function and their application to fast computation of the Riemann zeta function. (English) 4-th Symposium on Mathematical Analysis and Its Applications, Abstracts, Beograd, pp.63-64, (1997).
[15] Karatsuba E.A.: Fast computation of the Riemann zeta function for integer argument. (Russian, English) Dokl. Math. Vol.54, No.1, p.626 (1996); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk Vol.349, No.4, p.463 (1996).
[13] Karatsuba E.A.: On the FEE-Method — Method for Fast Evaluating the Functions Like E-Functions. (English) Abstracts of the International Conference "Symbolic Calculations and Their Application in Fundamental Reseachers", ITA RAS, St.Petersburg, p.26, (1995).
[12] Karatsuba E.A.: The Method FEE, Lectures of the second International conference "Mathematical Algorithms". (Russian) Niznij Novgorod, (1995).
[11] Karatsuba Catherine A.: Fast Evaluation of Bessel Functions. (English) Integral Transforms and Spec. Funct. Vol.1, No.4, pp.269-276 (1993).
[10] Karatsuba E.A.: Fast evaluation of ζ(3). (Russian, English) Probl. Inf. Transm. Vol.29, No.1, pp.58-62 (1993); translation from Probl. Peredachi Inf. Vol.29, No.1, pp.68-73 (1993).
[9] Karatsuba E.A.: Fast computation of the number ζ(3), ( ζ(s) — Riemann zeta-function). (Russian) Probl. Peredachi Informat., Vol.28, No.3, p.112, Chronicle. 19-th Russian School on Theory of Information and its Applications, (1992).
[8] Karatsuba E.A.: The complexity of calculation of Transcendental Functions. (Russian) Lectures of the 3-d All-Union Conference on SuperComputers, Moscow, (1992).
[7] Karatsuba E.A.: The estimation of the efficacy of fast algorithms for computations of some classes of transcendental functions. (Russian) Dissertation, Moscow, 95 pp., (1991).
[6] Karatsuba E.A.: The estimation of the efficacy of fast algorithms for computations of some classes of transcendental functions. (Russian) Autoreferat of the dissertation, Moscow, 10 pp., (1991).
[5] Karatsuba E.A.: Fast evaluation of transcendental functions. (Russian, English) Probl. Inf. Transm. Vol.27, No.4, pp.339-360 (1991); translation from Probl. Peredachi Inf. Vol.27, No.4, pp.87-110 (1991).
[4] Karatsuba E.A.: On fast computation of transcendental functions. (Russian, English) Sov. Math., Dokl. Vol.43, No.3, pp.693-694 (1991); translation from Dokl. Akad. Nauk SSSR Vol.318, No.2, pp.278-279 (1991).
[3] Karatsuba E.A.: On a new method for fast evaluation of transcendental functions. (Russian, English) Russ. Math. Surv. Vol.46, No.2, pp.246-247 (1991); translation from Usp. Mat. Nauk Vol.46, No.2(278), pp.219-220 (1991).
[2] Karatsuba E.A.: Fast computation of exp(x). (Russian) Problems of Information Transmission, Vol. 26, No.3, p.109, Chronicle-17th All-Union School on Theory of Information and its Applications, (1990).
[1] Karatsuba E.A.: Arithmetic-geometrical mean (AGM) methods for fast evaluations the constants like π. (Russian) Probl. of Informat. Transmis., Vol. 25, No.3, p.11, Cronicle-16th All-Union School on Theory of Information and its Applications, (1989).