E-mail:
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Website: http://gabdullin.math.tilda.ws/ 
Keywords: analytic number theory, character sums, quadratic residues, trigonometric series.
Education:
→ 2019 – PhD Thesis "Character sums: estimates and applications" (Lomonosov Moscow State University);
→ Candidate master in chess (ELO 2206).
Publications (recent):
2024
→ M. R. Gabdullin, "Trigonometric Polynomials with Frequencies in the Set of Squares and Divisors in a Short Interval", J. Four. Anal. Appl., 30:1 (2024), 2, DOI.
→ M. R. Gabdullin, V. V. Iudelevich, F. Luca, "Numbers of the form \(k + f(k)\)", J. Number Theory, 262 (2024), 58–85, DOI, arXiv.
→ M. R. Gabdullin, A. O. Radomskii, "Prime avoiding numbers is a basis of order 2", Mat. Sb., 215:5 (2024), 47–70, DOI, arXiv.
→ M. R. Gabdullin, S. V. Konyagin, "Trigonometric Polynomials with Frequencies in the Set of Cubes", Math. Notes, 115:3 (2024), 336–340, DOI.
2023
→ M.R. Gabdullin, V.V. Iudelevich, F. Luca, "Numbers of the form \(k f(k)\)", Int. J. Number Theory, 2023, 1–12, DOI, arXiv.
→ M.R. Gabdullin, "Trigonometric polynomials with frequences in the set of squares", arXiv.
→ M.R. Gabdullin, S.V. Konyagin, V.V. Iudelevich, "Karatsuba's divisor problem and related questions", Mat. Sb., 214:7 (2023), 27–41, DOI.
2022
→ M.R. Gabdullin, "The Stochasticity Parameter of Quadratic Residues", Int. Math. Res. Not. IMRN, 2022, 1–24, DOI, arXiv.
→ M.R. Gabdullin, "Trigonometric series with noninteger harmonics", J. Math. Anal. Appl., 508:1 (2022), 125792–11, DOI, arXiv.
2021
→ D.V. Treschev, S.V. Konyagin, V.N. Chubarikov, M.A. Korolev, M.R. Gabdullin, "Analytic and Combinatorial Number Theory, Collected papers. In commemoration of the 130th birth anniversary of Academician Ivan Matveevich Vinogradov", Trudy Mat. Inst. Steklova, 314 (2021), 346 p., DOI.
→ K. Ford, M.R. Gabdullin, "Sets whose differences avoid squares modulo m", Proceeding of the American Mathematical Society, 149 (2021), 3669–3682, DOI, arXiv.
2020
→ M.R. Gabdullin, S.V. Konyagin, "Stechkin’s works in number theory", Chebyshevskii Sb., 21:4 (2020), 9–18, DOI.
→ M.R. Gabdullin, "Lower Bounds for the Wiener Norm in \(\mathbb{Z}_p^d\)", Math. Notes, 107:4 (2020), 574–588, DOI.
→ M.R. Gabdullin, "On the stochasticity parameter of quadratic residues", Dokl. RAN. Math. Inf. Proc. upr., 491:1 (2020), 19–22, DOI.
2018
→ M.R. Gabdullin, "Sets in \(\mathbb{Z}_m\) whose difference sets avoid squares", Sb. Math., 209:11 (2018), 1603–1610, DOI.
→ M.R. Gabdullin, "Estimates for character sums in finite fields of order \(p^2\) and \(p^3\)", Proc. Steklov Inst. Math., 303 (2018), 36–49, DOI.