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Prof. Dr. Igoris Belovas

Department: Intelligent Technologies Research Group
Position: Senior Researcher, Professor

Address: Akademijos st. 4, room 621, Vilnius
Phone: +370 5 210 9339
E-mail:

 

 

Scientific and pedagogical background

  • Professor and Senior Researcher, Vilnius University Institute of Data Science and Digital Technologies.
  • PhD in Mathematics, Institute of Mathematics and Informatics (and VGTU), 2004.

 

Research interests

 

  • Mathematical modelling 
  • Analytic number theory and combinatorial analysis

 

Scientific publications

Publications with VU Institute of Data Science and Digital Technologies & Institute of Mathematics and Informatics affiliation

Principal publications (2019-2025): 

  1.  Belovas, I., Sabaliauskas. M. (2025). On integer sequences associated with admissible prime k-tuples. Annals of the University of Craiova, Mathematics and Computer Science Series. 
  2. Belovas, I., Čepaitytė, R., Sabaliauskas. M. (2025) On the zero-free region and the distribution of zeros of the prime zeta function.  Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica, 33 (2). DOI: 10.2478/auom-2025-0017.  
  3. Gricius, R., Belovas, I. (2025). On the generation of synthetic invoices for training machine learning models, IEEE Access, 13, 62798-62806, DOI: 10.1109/ACCESS.2025.3555155
  4. Belovas, I. (2023).  An inequality for the Riemann zeta function. Acta Mathematica Hungarica.170(1), 367-378. DOI: 10.1007/s10474-023-01329-3
  5. Belovas, I. (2023). The asymptotics of the geometric polynomials. Mathematica Slovaca, 73 (2). 335-342. DOI: 10.1515/ms-2023-0026
  6.  Belovas, I., Sabaliauskas, M., Kuzma, L. (2022) Series with binomial-like coefficients for the investigation of fractal structures associated with the Riemann zeta function. Fractal and fractional, 6(6:300), 1-21. DOI: 10.3390/fractalfract6060300.
  7.  Belovas, I. (2022). Central limit theorems for combinatorial numbers associated with Laguerre polynomials. Mathematics, 10 (6:865). DOI: 10.3390/math10060865 
  8. Belovas, I. (2022). Central and local limit theorems for the weighted Delannoy numbers. Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica, 30(2), 25-44. DOI: 10.2478/auom-2022-001
  9. Belovas, I., Sakalauskas, L. Starikovičius, V. (2022). A method for accelerated computation of the Riemann zeta function on the complex plane. Publicationes Mathematicae Debrecen, 100(1-2), 167–184. DOI: 10.5486/PMD.2022.9120
  10.  Belovas, I. (2022). Series with binomial-like coefficients for the Riemann zeta function. Annali Di Matematica Pura Ed Applicata, 201, 903–912. DOI: 10.1007/s10231-021-01142-1
  11.  Belovas, I. (2021). Limit theorems for numbers satisfying a class of triangular arrays // Glasnik matematički.  56 (2), 195-223. DOI: 10.3336/gm.56.2.01
  12. Belovas, I., Sakalauskas, L., Starikovičius, V., Sun, E. W. (2021).  Mixed-stable models: an application to high-frequency financial data. Entropy, 23(6:739), 1–12.  DOI: 10.3390/e23060739
  13. Belovas, I. (2021). Central and local limit theorems for numbers of the tribonacci triangle. Mathematics, 9(8:880), 1-11. DOI: 10.3390/math9080880
  14. Belovas, I. (2021). An inequality for the modified Selberg zeta-function. Ramanujan Journal, 55(3), 1063-1082. ISSN: 1382-4090 ; eISSN: 1572-9303; DOI: 10.1007/s11139-020-00265-y
  15. Belovas, I.,  Sabaliauskas, M. (2020). Series with binomial-like coefficients for the evaluation and 3D visualization of zeta functions. Informatica, 31(4), 1-22.
  16. Belovas, I. (2019). A local limit theorem for coefficients of modified Borwein's method. Glasnik Matematički. Ser.III, Zgreb : Hrvatsko Matematicko Drustvo. 54(1), 1-9. ISSN: 0017-095X. DOI: 10.3336/gm.54.1.01
  17. Belovas, I. (2019). An inequality for the Selberg zeta-function, associated to the compact Riemann surface. Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica: Ovidius University Press, 27(3), 37-44. ISSN: 1224-1784; eISSN: 1844-0835. DOI: 10.2478/auom-2019-0032
  18. Belovas, I. (2019). A central limit theorem for coefficients of the modified Borwein method for the calculation of the Riemann zeta-function. Lithuanian Mathematical Journal. 59(1), 17-23. ISSN: 0363-1672; eISSN: 1573-8825; DOI: 10.1007/s10986-019-09421-4
  19. Belovas, I., Sakalauskas, L. (2019). An inequality for the modulus of the ratio of two complex gamma functions. Miskolc Mathematical Notes. Miskolc: University of Miskolc, 20(1), 115-130. ISSN: 1787-2405; eISSN: 1787-2413; DOI: 10.18514/MMN.2019.2543
  20. Belovas, I. (2019). Modeling Baltic market indices: A comparison of models. Computer Data Analysis and Modeling: Stochastics and Data Science : Proceedings of the XII International Conference, Minsk, September 18-22, 2019, 144-147. ISBN: 9789855668115

 

Principal scientific projects

  • 2023: "Efficient algorithms for visualization of Mandelbulbs associated with the Riemann zeta function" (LRC project Nr. P-SV-23-9; Supervisor);
  • 2012: „Parallel algorithms for the calculations of zeta-functions“ (CINECA, Casalecchio di Reno, Bologna; Head of the project);
  • 2012: „The mixed-stable modeling of high-frequency financial data: parallel computing approach“ (CINECA, Casalecchio di Reno, Bologna; Researcher);
  • 2010: „Limit theorems for the Riemann zeta-function and Dirichlet L-functions: computer simulation“ (CINECA, Casalecchio di Reno, Bologna; Head of the project);
  • 2010: „Mixed-stable models for analyzing high-frequency financial data“ (Institute of Economic Theory and Statistics, Karlsruhe Institue of Technology; Researcher);
  • 2010: „Parallel computing in estimation of parameters of alpha-stable distribution“ (CINECA, Casalecchio di Reno, Bologna; Researcher).

 

PhD Supervision

Scientific supervisor of PhD student:

Ilja Jurčenko

  • Period of study: 1st October 2025–30th September 2029
  • Science field: Informatics (N 009)
  • The title of Thesis: Dynamic asset allocation in mixed investment portfolios in an environment of changing economic and political risks
  • Defended:

 

Lukas Kuzma

  • Period of study: 1st October 2024–30th September 2028
  • Science field: Informatics (N 009)
  • The title of Thesis: Efficient algorithms for the calculation of zeta functions
  • Defended: –

 

Aivaras Bielskis

  • Period of study: 1st October 2022–30th September 2026
  • Science field: Informatics (N 009)
  • The title of Thesis: Stock price forecasting and investment portfolio formation using machine learning algorithms
  • Defended: –

 

Rolandas Gricius

  • Period of study: 1st October 2021–30th September 2026
  • Science field: Informatics (N 009)
  • The title of Thesis: Recognising the Contents in Digitised Structured Documents
  • Defended: –

 

Saulius Grigaitis

  • Period of study: 1st October 2018–30th September 2026 (since 1st October 2023)
  • Science field: Informatics (N 009)
  • The title of Thesis: Speeding up Blockchains Using Non-Random Transactions
  • Defended: –

 

 

Co-supervisor of PhD student:

  • Liudas Ališauskas  "Artificial intelligence methods for network intrusion detection systems" (2016-2021).

 

  • Member of Defence Council: 11 times;
  • Opponent: 1 time;
  • Reviewer: 16 times.