Semyon Yakubovich's Annual Report 2014
Year:
Brief description of the research activities:
Área Analysis:
1. Equivalences to the Riemann hypothesis and properties of the Riemann zeta-function;
2. New classes of index transforms;
3. Towards solution to the Casas-Alvero conjecture. Properties of Goncharov's polynomials.
4. The iterated Stieltjes and Hilbert transforms
5. The iterated half- Hartley transform
6. New identities for Bernoulli, Euler numbers and Riemann zeta values at integers.
7. Salem's type equivalences to the Riemann hypothesis revisited
8. Eigenfunctions of Fourier operators and the KL-transform
9. Borel type expansions and the KL-transform.
Articles in international peer reviewed journals :
Papers accepted for publication in peer reviewed journals:
Talks / Seminars / Courses :
Editorial activities:
Member of the Editorial Board of International Journals:
1. "Hacettepe Journal of Mathematics and Statistics" (Turkey);
2. "Thai Journal of Mathematics" (Tailand);
3. "Opuscula Mathematica" (Poland);
4. "Sarajevo Journal of Mathematics" (Bosnia e Herzegovina);
5. "Integral Transforms and Special Functions" (UK) (associate editor);
Work visits:
AGH University of Krakow, Poland. May 4-8, 2014.
Reports:
Title of the talk on seminar on "Functional Analysis and Applications": The half-Hilbert, half-Hartley transforms: convolution and Titchmarsh's theorems and applications to singular integral equations". Department of Mathematics, May 7, 2014.