Raivydas Šimėnas

 

raivydaspic

Current position

  • Associate Professor at the Faculty of Mathematics and Informatics, Vilnius University.

Education

  • PhD in Mathematics, Vilnius University, 2016.
  • MSc. in Mathematics, Vilnius University, Magna Cum Laude, 2012.
  • BSc. in Mathematics, Vilnius University, Cum Laude, 2010.
  • Political Science, Washington University in St. Louis (unfinished).
  • BSc. in Computer Science (major) and Philosophy (minor), Creighton University, Summa Cum Laude, 2004.

Academic interests

  • Analytic number theory
  • Philosophy of mathematics
  • Machine learning

Publications

  1. Decompositions of the extended Selberg class function. Open Math., 23(1), 2025 (with Ramūnas Garunkštis and Tadas Panavas). Full text
  2. Hurwitz zeta function is prime. Mathematics, 11(5), 1150, 2023 (with Marius Dundulis, Ramūnas Garunkštis, and Erikas Karikovas). Full text
  3. Approximation of analytic functions by shifts of certain compositions. Mathematics, 9, 2583, 2021 (with Darius Šiaučiūnas and Monika Tekorė). Full text
  4. Zeros of the higher-order derivatives of the functions belonging to the extended Selberg Class. Lith. Math. J., 61:87-95, 2021. Full text
  5. The distribution of zeros of the derivative of the unmodified Selberg zeta-function associated to finite volume Riemann surfaces. Colloq. Math., 163(2):171-188, 2021.
  6. Zeros of derivative of Lerch’s zeta-function. Adv. Stud. Pure Math., 84:79-91, 2020 (with Ramūnas Garunkštis and Rokas Tamošiūnas). Full text
  7. On the vertical distribution of the a-points of the Selberg zeta-function attached to a finite volume Riemann surface. Lith. Math. J., 59(2):143-155, 2019 (with Ramūnas Garunkštis). Full text
  8. On the distribution of the a-values of the Selberg zeta-function associated to finite volume Riemann surfaces. J. Number Theory, 173:64-86, 2017 (with Ramūnas Garunkštis). Full text
  9. On the Speiser equivalent for the Riemann hypothesis. Eur. J. Math., 1(2):337-350, 2015 (with Ramūnas Garunkštis). Full text
  10. The a-points of the Selberg zeta-function are distributed uniformly modulo one. Illinois J. Math., 58(1):207-218, 2014 (with Ramūnas Garunkštis and Jörn Steuding). Full text
  11. The a-values of the Selberg zeta-function. Lith. Math. J., 52(2):145-154, 2012 (with Ramūnas Garunkštis). Full text
  12. Russell’s paradox and ways to solve it. Mathematics and Mathematical Modeling, 5:11-18, 2009.
  13. Applying fuzzy set theory to comparative politics. In Terry D. Clark, Jennifer M. Larson, John N. Mordeson, Joshua D. Potter, Mark J. Wierman, Applying Fuzzy Mathematics to Comparative Politics, 1-27, Berlin Heidelberg: Springer, 2008 (with Terry D. Clark). Preview
  14. The Kantian paradox, Missouri Valley Journal of Social Science, 6(1):1-6, 2002.

Projects

  • Zeta functions: Going beyond the Riemann’s case (project code: P-MIP-22-107, April 2022 – April 2025).
  • An investigation of the Selberg zeta function (project code: 09.3.3-LMT-K-712-19-0030, September 2020 – September 2022).
  • Approximations by zeta-functions and algebraic numbers (project code: 09.3.3-LMT-K-712-01-0037, December 2017 – December 2021).
  • Study of the properties of zeta-functions (project code: 09.3.3-LMT-K-712-02-0088, December 2017 – December 2019).

Teaching

  • Algebra (practice classes)
  • Stochastic processes (practice classes)
  • Philosophy of mathematics
  • History of mathematics
  • Web development
  • Java development
  • Intro to computer programming (practice classes)
  • Selected topics in complex analysis (modular forms, practice classes)
  • Selected topics in functional analysis

Conferences and visits

  • Value distribution of the Selberg zeta function, International Conference on Probability Theory and Number Theory, Palanga, Lithuania, September 15-19, 2025.
  • Value distribution of some zeta functions, 33èmes Journées Arithmétiques, University of Luxembourg, Esch-sur-Alzette, Luxembourg, June 30-July 4, 2025.
  • Kai kurių dzeta funkcijų reikšmių pasiskirstymas, 66-oji LMD konferencija, Klaipėda University, Lithuania, June 26-27, 2025.
  • Visit to the University of Sarajevo, Bosnia and Herzegovina, November 28-December 7, 2024.
  • Decompositions of the extended Selberg class functions, International Conference on Probability Theory and Number Theory, Palanga, Lithuania, September 16-20, 2024.
  • Extended Selberg class and prime functions, 65th LMD Conference, VU ŠA, Šiauliai, Lithuania, June 27-28, 2024.
  • Prime functions, H. Minkowski Conference, Kaunas, Lithuania, June 20-21, 2024.
  • Hurwitz zeta function is prime, Universality, Zeta Functions, and Chaotic Operators, CIRM, Luminy, France, August 7-11, 2023.
  • Prime functions, 32èmes Journées Arithmétiqeus, Université de Lorraine, Nancy, France, July 3-7, 2023.
  • Prime functions, 64th LMD Conference, Vilnius University, Lithuania, June 21-22, 2023.
  • Prime functions, ELAZ 2022, Adam Mickiewicz University, Poznań, Poland, August 22-26, 2022.
  • A-values of the Selberg zeta function, Building Bridges: 5th EU/US Summer School and Workshop on Automorphic Forms and Related Topics, University of Sarajevo, Bosnia and Herzegovina, August 8-August 13, 2022.
  • Prime functions, Lithuanian Conference on Probability Theory and Number Theory, Palanga, Lithuania, September 14-19. 2021.
  • Visit to University of Sarajevo, Bosnia and Herzegovina, August 6-22, 2021.
  • Value distribution of the higher-order derivatives of the extended Selberg class functions, 61st LMD Conference, Šiauliai, Lithuania, December 4, 2020.
  • Visit at University of Sarajevo, Bosnia and Herzegovina, September 29-October 5, 2019.
  • Visit at City College of New York, USA, July 15-August 18, 2019.
  • Value distribution of the Selberg zeta-function and of its derivative, 31st Journées Arithmétiques, Istanbul, Turkey, July 1-5, 2019.
  • Zeros of the derivative of the Selberg zeta-function associated with finite volume Riemann surfaces, 24th International Conference Mathematical Modeling and Analysis, Tallinn, Estonia, May 28-31, 2019.
  • Value distribution of the Selberg zeta-function, International Conference on Number Theory Dedicated to the 70th Birthdays of Professors Antanas Laurinčikas and Eugenijus Manstavičius, Palanga, Lithuania, September 10-14, 2018.
  • Visit at Tokyo Denki University and Nagoya University, Japan, July 29-August 18, 2018.
  • Building Bridges: 4th EU/US Summer School and Workshop on Automorphic Forms and Related Topics, Alfréd Rényi Institute of Mathematics, Budapest, Hungary, July 9-20, 2018.
  • Zero free regions of the derivative of the Lerch zeta-function, Vilnius Conference in Combinatorics and Number Theory, Vilnius University, Vilnius, Lithuania, July 16-22, 2017.
  • On the distribution of the a-values of the Selberg zeta-function, 5th International Conference on Uniform Distribution Theory, University of West Hungary, Sopron, Hungary, July 5-8, 2016.
  • On the distribution of the a-values of the Selberg zeta-function, 57th Lithuanian Mathematical Society Conference, Vilnius Gediminas University of Technology, Vilnius, Lithuania, June 20-21, 2016.
  • Research school on L-functions and Automorphic Forms, Heidelberg University, Germany, February 17-26, 2016.
  • Research school on Analytic Number Theory and Diophantine Geometry, Hannover University, Germany, September 7-11, 2015.
  • Research school on Galois Theory and Number Theory, Konstanz University, Germany, July 18-24, 2015.
  • On the zeros of the extended Selberg class functions and of their derivatives, 56th Lithuanian Mathematical Society Conference, Kaunas University of Technology, Kaunas, Lithuania, June 16-17, 2015.
  • Visit at Würzburg University, Germany, November 24-30, 2014.
  • On the zeros of the extended Selberg class functions and of their derivatives, 27th Journées Arithmétiques, Vilnius University, Vilnius, Lithuania, June 27-July 1, 2011.
|  Last updated: 2026-01-16 08:05
2014-11-25 12:08