Staff

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: 1^st October 2025–30^th September 2029
• Science field: Informatics (N 009)
• The title of Thesis:
• Defended:

Lukas Kuzma

• Period of study: 1^st October 2024–30^th 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: 1^st October 2022–30^th 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: 1^st October 2021–30^th September 2026
• Science field: Informatics (N 009)
• The title of Thesis: Recognising the Contents in Digitised Structured Documents
• Defended: –

Saulius Grigaitis

• Period of study: 1^st October 2018–30^th September 2026 (since 1^st 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.