Speciality: 01.01.09 (Discrete mathematics and mathematical cybernetics)
E-mail:
Website: https://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:

1. E.A. Karatsuba, “Fast evaluation of transcendental functions”, Problems of Information Transmission, 27:4 (1991), 339–360
2. E. A. Karatsuba, “Fast evaluation of hypergeometric function by FEE”, Series Approximation and Decomposition, 11 (1999), 303–314
3. 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
4. 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
5. E.A. Karatsuba, “Fast Evaluation Algorithms for Elementary Algebraic and Inverse Functions Using the FEE Method”, Problems of Information Transmission, 58 (2022), 284–296

Recent publications

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Organisations:

• Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow
• Dorodnitsyn Computing Centre of the Russian Academy of Sciences, Moscow