Volumes & Issues
Uniform Distribution Theory: Mathematics, Computational and Engineering Applications is an open-access, blind peer-reviewed academic journal dedicated to advanced research at the intersection of mathematics, computational science, and algorithmic methodologies. While its core focus remains on number theory and the theory of uniform distribution, the journal particularly emphasizes original contributions that address computational techniques, numerical algorithms, and their implementation in scientific and engineering applications.
The scope of the journal includes topics such as combinatorial and probabilistic number theory, sequence generation and analysis, discrepancy theory, quasi-Monte Carlo methods, Diophantine approximation, and computational approaches to numerical integration and stochastic simulation. These research areas are closely connected to algorithm design, high-performance computing, optimization, and data-driven modeling.
By promoting rigorous theoretical developments alongside computational and engineering-oriented perspectives, the journal provides a specialized platform for researchers interested in the design, analysis, and practical application of mathematical methods in computer science, simulation, cryptography, and computational engineering. Published periodically by a research institute of the Slovak Academy of Sciences, it contributes to the advancement of both fundamental mathematics and its translation into efficient computational frameworks and modern technological solutions.
Search articles
Information for authors
Former publisher:
Institute of Mathematics of the Slovak Academy of Sciences, (Bratislava, Slovakia)
About the journal:
This journal aims to publish original research papers on various aspects of uniform distribution theory, with particular emphasis on computational methodologies, algorithmic developments, and engineering applications. It encourages interdisciplinary contributions that bridge number theory, computer science, artificial intelligence, scientific computing, cybersecurity, and computational engineering, fostering the transfer of mathematical advances into practical technological solutions.
We welcome submissions on topics including, but not limited to:
- Distribution of one-dimensional and multidimensional sequences
- Distribution of binary sequences
- Distribution of integer sequences and sequences from algebraic structures
- Distribution problems in finite abstract sets
- Continuously uniform distributions
- Discrepancies and their computational analysis
- Pseudo-random and quasi-random number generators
- Quasi-Monte Carlo integration and numerical methods
- Quasi-Monte Carlo applications in scientific computing and financial engineering
- Theory of densities and distribution functions
- Distribution of integer points in large domains
- Spectral properties and dynamics of sequences
- Number-theoretic cryptography, ciphers, and secure coding techniques
- Combinatorial number theory and trigonometric sums
- Diophantine approximations and Diophantine equations
- Continued fractions and computational number theory
- Quantum chaos and computational physics
- Algorithm design and complexity analysis based on uniform distribution theory
- Signal processing, data encoding, and information transmission using number-theoretic methods
- Modeling, simulation, and optimization of engineering systems through pseudo-random and quasi-random sequences
- Applications in embedded systems, real-time control, and autonomous technologies
- Machine learning, high-dimensional data analysis, and artificial intelligence supported by uniform distribution methods
- Cryptographic systems, cybersecurity, and secure communications
- High-performance computing and parallel numerical algorithms
- Randomized algorithms and stochastic simulation techniques
- Ethical and societal implications of pseudo-randomness and algorithmic fairness in intelligent systems
The primary AMS subject classifications include 11K (Probabilistic number theory), 11J (Diophantine approximation and transcendental number theory), 11B (Sequences and sets), 11L (Exponential sums and character sums), together with computationally oriented areas such as 68Q25 (Analysis of algorithms and problem complexity), 68W20 (Randomized algorithms), 65C10 (Random number generation), 94A60 (Cryptography), 68T09 (Computational aspects of Artificial Intelligence), and 68U20 (Simulation).
CHIEF EDITORS
Karpenkov, Oleg (Liverpool)
karpenk@liv.ac.uk
Lattice geometry, multidimensional continued fractions, geometry of numbers.
Nair, Radhakrishnan (Liverpool)
nair@liverpool.ac.uk
Ergodic theoretic aspects of uniform distribution, issues related to pointwise convergence, metrical theory of uniform distribution, exceptional sets, exponential sums, distribution of primes, densities and combinatorial number theory.
Pillichshammer, Friedrich (Linz)
friedrich.pillichshammer@jku.at
Discrepancy, digital nets, quasi-Monte Carlo integration, lattice rules, tractability of high-dimensional problems.
EDITORIAL BOARD
Akiyama, Shigeki (Tsukuba)
akiyama@math.tsukuba.ac.jp
Dynamics emerging from sequences, continued fractions, interplay between symbolic dynamics and number theory, spectral properties of sequences.
Allouche, Jean-Paul (Paris)
jean-paul.allouche@imj-prg.fr
Combinatorial number theory, continued fractions, automatic sequences.
Baláž, Vladimír (Bratislava)
vladimir.balaz@stuba.sk
Theory of densities, summation methods.
Berkes, István (Graz)
berkes@tugraz.at
Discrepancies, distribution of one dimensional and multidimensional sequences.
Bugeaud, Yann (Strasbourg)
bugeaud@math.unistra.fr
Diophantine approximation, diophantine equations, continued fraction, distribution modulo one.
Dick, Josef (Sydney)
josef.dick@unsw.edu.au
Quasi-Monte Carlo methods, digital nets and sequences, lattice rules, geometric discrepancy, uniform distribution on the sphere.
Drmota, Michael (Vienna)
michael.drmota@tuwien.ac.at
Continuous uniform distribution, discrepancies, distribution of one dimensional and multidimensional sequences.
Dubickas, Artūras (Vilnius)
arturas.dubickas@mif.vu.lt
Distribution modulo one, diophantine approximation.
Faure, Henri (Marseille)
henri.faure@univ-amu.fr
Distribution of one dimensional and multidimensional sequences, discrepancies, quasi-Monte Carlo integration.
García Guirao, Juan Luis (Cartagena, Spain)
juan.garcia@upct.es
Distribution of one-dimensional and multidimensional sequences.
Giuliano Antonini, Rita (Pisa)
giuliano@dm.unipi.it
Theory of densities, distribution functions of sequences, summation methods, continued fractions.
Grabner, Peter (Graz)
peter.grabner@tugraz.at
Point distributions on manifolds, extremal energy point sets, dynamical and fractal aspects of uniformly distributed sequences.
Grekos, Georges (Saint-Etienne)
grekos@univ-st-etienne.fr
Theory of densities, combinatorial number theory.
Grozdanov, Vasil (Blagoevgrad)
vassgrozdanov@yahoo.com
Well distributed sequences and nets, discrepancy and diaphony, applications of uniformly distributed sequences.
Gyarmati, Katalin (Budapest)
gykati@cs.elte.hu
Pseudorandomness, combinatorial number theory.
Konyagin, Sergei (Moscow)
konyagin23@gmail.com
Pseudorandom numbers generators, combinatorial number theory.
Kraaikamp, Cor (Delft)
c.kraaikamp@ewi.tudelft.nl
Metric properties of number theoretic expansions: beta-expansions, one and multi-dimensional continued fraction algorithms, Lüroth- and Engel series.
Kritzer, Peter (Linz)
peter.kritzer@oeaw.ac.at
Discrepancy, digital nets, lattice rules, quasi-Monte Carlo methods, tractability of multivariate problems.
Larcher, Gerhard (Linz)
Gerhard.Larcher@jku.at
Irregularities of distribution, discrepancy, diophantine approximation, low-discrepancy sequences, quasi-Monte Carlo methods, applications in finance.
Lev, Vsevolod (Haifa)
seva@math.haifa.ac.il
Combinatorial number theory, additive combinatorics.
Luca, Florian (Johannesburg)
Florian.Luca@wits.ac.za
Distributions of binary sequences, combinatorial number theory, diophantine approximations and diophantine equations, continued fractions.
Mišík, Ladislav (Ostrava)
ladislav.misik@osu.cz
The theory of generalized densities, measures on sets of integers.
Niederreiter, Harald (Linz, Salzburg)
ghnied@gmail.com
harald.niederreiter@oeaw.ac.at
All parts of uniform distribution theory.
Ohkubo, Yukio (Kagoshima)
ohkubo@eco.iuk.ac.jp
Distribution of one dimensional and multidimensional sequences, continuous uniform distribution, discrepancies. •
Paštéka, Milan (Bratislava)
pasteka@mat.savba.sk
Theory of densities, uniform distribution in groups and rings.
Pethő, Attila (Debrecen)
petho.attila@inf.unideb.hu
Diophantine equations, distribution of polynomials and algebraic numbers, radix representations, cryptography.
Pintz, János (Budapest)
pintz.janos@renyi.mta.hu
Analytic number theory, distribution of prime numbers.
Porubský, Štefan (Prague)
sporubsky@hotmail.com
Distribution functions of sequences, combinatorial number theory, arithmetic densities, arithmetic functions, summation methods, pseudorandom number generators, cryptography.
Sárközy, András (Budapest)
sarkozy@cs.elte.hu
Distribution of binary sequences, pseudorandom number generators, combinatorial number theory, character sums, number theoretic ciphers.
Shkredov, Ilya (Moscow)
ilya.shkredov@gmail.com
Combinatorial number theory, continued fractions.
Strauch, Oto (Bratislava)
oto.strauch@mat.savba.sk
The theory of distribution functions of sequences, discrepancies, metric theory of diophantine approximations.
Tezuka, Shu (Kyushu)
shu_tezuka@yahoo.co.jp
Quasi-Monte Carlo integration, quasi-Monte Carlo methods in financial mathematics, pseudorandom number generators.
Tichy, Robert F. (Graz)
tichy@tugraz.at
Discrepancies, quasi – Monte Carlo integration, quasi – Monte Carlo methods in financial mathematics, diophantine approximations and diophantine equations.
Tóth, János T. (Ostrava)
tothj@ujs.sk
Distribution of block sequences, various kinds of dense sequences.
Ustinov, Alexey. (Khabarovsk)
ustinov@iam.khv.ru
Trigonometric (exponential) sums, continued fractions, geometry of numbers.
Verger-Gaugry, Jean-Louis. (Le Bourget-du-Lac)
Jean-Louis.Verger-Gaugry@univ-smb.fr
Number theory, dynamics.
Weber, Michel (Strasbourg)
michel.weber@math.unistra.fr
Ergotic theory, pointwise convergence, probability theory.
Winkler, Reinhard (Vienna)
reinhard.winkler@tuwien.ac.at
Distribution of integer sequences and sequences from groups and generalized spaces, theory of distribution functions of sequences (limit measures), distribution of binary sequences, dynamic emerging from sequences.
Winterhof, Arne (Linz)
arne.winterhof@oeaw.ac.at
Pseudorandom numbers, measures of pseudorandomness, exponential sums, finite fields.
Woźniakowski, Henryk (New York, Warsaw)
henryk@cs.columbia.edu
Discrepancies, Quasi-Monte Carlo algorithms, Monte-Carlo algorithms, tractability of multivariate problems, computational complexity of continous problems.
Uniform distribution theory is covered by the following services:
- Baidu Scholar
- CNKI Scholar (China National Knowledge Infrastructure)
- Dimensions
- EBSCO
- ExLibris
- Google Scholar
- J-Gate
- Jisc – Open Policy Finder
- JournalGuide
- JournalTOCs
- KESLI-NDSL (Korean National Discovery for Science Leaders)
- MathSciNet
- Naver Academic
- Naviga (Softweco)
- ProQuest
- ReadCube
- ScienceON/AccessON
- SCILIT
- Scite_
- Semantic Scholar
- TDNet
- Ulrich’s Periodicals Directory/ulrichsweb
- WanFang Data
- WorldCat (OCLC)
- X-MOL
- zbMATH Open
Additionally, the journal is registered and indexed in the Crossref database.
- metrics.mcq 0,19
Open Access Statement
This is an open access journal that provides free, immediate, and unrestricted online access to all its published content for readers around the world.
Archiving
Engineering Journals archives the contents of this journal in Portico – a digital long-term preservation service of scholarly books, journals and collections.
Blind Peer Review
Is a review process in which submitted research is evaluated by independent experts without revealing the identity of the authors. This helps reduce bias and ensures that the work is judged solely on its academic quality, methodology, and contribution to the field. It is widely used in academic publishing to improve fairness, credibility, and scientific integrity.
Plagiarism Policy
The editorial board is participating in a growing community of Similarity Check System’s users in order to ensure that the content published is original and trustworthy. Similarity Check is a medium that allows for comprehensive manuscripts screening, aimed to eliminate plagiarism and provide a high standard and quality peer-review process.