List of Research Works *
[30] Karatsuba E.A., Moretti P.: Inversion time of large spins.
(English) J. of Math. Phys., Vol.46, No 3 (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,
[27] Karatsuba E.A.: On Some Problems of Approximation and Computation
of Classical Functions and Constants. (Russian) Authoreferat of the
dissertation,
[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).
[25] Karatsuba E.A.: Fast computation of ζ(3) and of some special integrals using the Ramanujan
formula and polylogarithms. (English)
BIT Numerical Mathematics, Vol.41, No.4, pp.722-730 (2001).
[24] Karatsuba E.A.: On the asymptotic representation of the Euler gamma
function by Ramanujan. (English) J.
Comput. Appl. Math. Vol.135, No.2, pp.225-240 (2001).
[23] Karatsuba E.A., Vuorinen M.: On hypergeometric functions and generalizations
of Legendre's relation. (English) J.
Math. Anal. Appl. Vol.260, No.2, pp.623-640 (2001).
[22] Karatsuba E.A.: On the computation of the Euler constant γ.
(English) J. of Numerical Algorithms Vol.24, No.1-2,
pp.83-97 (2000).
[21] Karatsuba E.A.: On the asymptotic representation of the Euler gamma
function by Ramanujan. (English)
[20] Karatsuba Ekatharine A.: Fast evaluation of hypergeometric
functions by FEE. (English) Papamichael, N. (ed.) et al., Proceedings of the 3rd CMFT conference on computational
methods and function theory 1997,
[19] Karatsuba E.A.: On the computation of the Euler constant gamma,
[18] Karatsuba E.A., Vuorinen M.: On hypergeometric functions and
generalization of Legendre's relation. (English)
[17] Karatsuba E.A.: Fast evaluation of the Hurwitz zeta Function and
Dirichlet L-series. (Russian, English)
Probl. Inf. Transm. Vol.34, No.4,
pp.342-353 (1998); translation from Probl. Peredachi. Inf. Vol.34, No.4,
pp.62-75 (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,
[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).
[14] Karatsuba E.A.: Fast computation of the Riemann zeta-function ζ(s) for integer values of the argument
s. (Russian, English) Probl. Inf. Transm. Vol.31, No.4, pp.353-362 (1995);
translation from Probl. Peredachi Inf. Vol. 31, No.4,
pp.69-80 (1995).
[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 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, N 3, p. 112,
Chronicle. 19-th
[8] Karatsuba E.A.: The complexity of calculation of Transcendental
Functions. (Russian) Lectures of the 3-d
All-Union Conference on SuperComputers,
[7] Karatsuba E.A.: The estimation of the efficacy of fast algorithms
for computations of some classes of
transcendental functions. (Russian) Dissertation,
[6] Karatsuba E.A.: The estimation of the efficacy of fast algorithms
for computations of some classes of
transcendental functions. (Russian) Authoreferat of the dissertation,
[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, N
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, N 3, p. 11, Cronicle-16th All-Union
School on Theory of Information and its Applications, (1989).