Phone: +33-970-46-28-33
E-mail: Website: https://pdmi.ras.ru/~iaroslav Keywords: Analytic number theory, theory of special functions, mathematical statistics, variational calculus, history of mathematics, application of mathematics to engineering sciences, signal processing (random signals, non-iid and/or non-stationary stochastic processes, mixing processes), information theory, stochastic coding of information, theory of radio- and telecommunication, speech processing and analysis, theoretical cognitive robotics, cognitive brain functions.
Subject:
Analytic number theory, special functions, zeta-function, mathematical statistics, variational calculus, history of mathematics, application of mathematics to engineering sciences, information theory, signal processing, stochastic coding of information, computational neuroscience and cognitive robotics.
Main publications:
F. Johansson and I. V. Blagouchine, “Computing Stieltjes constants using complex integration”, Mathematics of Computation, 88:318 (2019), 1829–1850
I. V. Blagouchine, “Three notes on Sers and Hasses representations for the zeta-functions”, Integers, 18A (2018), 1–45
I. V. Blagouchine, “Two series expansions for the logarithm of the gamma function involving Stirling numbers and containing only rational coefficients for certain arguments related to $\pi^{-1}$”, Journal of Mathematical Analysis and Applications, 442:2 (2016), 404–434
I. V. Blagouchine, “Rediscovery of Malmstens integrals, their evaluation by contour integration methods and some related results”, The Ramanujan Journal, 35:1 (2014), 21–110
I. V. Blagouchine and E. Moreau, “Unbiased Efficient Estimator of the Fourth-Order Cumulant for Random Zero-Mean non-i.i.d. Signal: Particular Case of MA Stochastic Process”, IEEE Transactions on Information Theory, 56:12 (2010), 6450–6458
