→ 4th year graduate student of the Department of Theory of Functions and Functional Analysis, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University and Universitat Autònoma de Barcelona
→ Scientific Advisors: Mikhail Ivanovich Dyachenko, Sergey Yurevich Tikhonov
E-mail:
Websites:
Research Interests: Harmonic analysis, Number theory, Combinatorics.
Publications:
2023
→ K. Oganesyan, "Bounds for the number of multidimensional partitions", arXiv.
→ K. Oganesyan, "Two-dimensional Hardy-Littlewood theorem for functions with general monotone Fourier coefficients", arXiv.
→ K. Oganesyan, "John-Nirenberg inequality for Riemann type series", arXiv.
→ M.I. Dyachenko, K.A. Oganesyan, "Counterexamples to the Hardy–Littlewood Theorem for Generalized Monotone Sequences", Math. Notes, 113:3 (2023), 458–463, DOI.
2022
→ K. Oganesyan, "Cosine polynomials with restrictions on their algebraic representation", Journal of Approximation Theory, 281–282 (2022), 105802, DOI.
2021
→ K. A. Oganesyan, "Uniform convergence criterion for non-harmonic sine series", Sb. Math., 212:1 (2021), 70–110, DOI.
2020
→ K. A. Oganesyan, "A Functional Inequality for Sine Series", Math. Notes, 107:3 (2020), 531–533, DOI.
→ K. Oganesyan, "The sets of positivity of sine series with monotone coefficients", Acta Mathematica Hungarica, 162(2) (2020), 705–721, DOI.
2018
→ K.A. Oganesyan, "The Measure of the Set of Zeros of the Sum of a Nondegenerate Sine Series with Monotone Coefficients in the Closed Interval \([0,\pi]\)", Math. Notes, 103:4 (2018), 621–625, DOI.
→ K.A. Oganesyan, "Generalized double Fourier sine-series", Moscow University Mathematics Bulletin, 73:1 (2018), 9–16, DOI.