Edit Profile (opens in new tab) Porubsky, Stefan Co-Author Distance Author ID: porubsky.stefan Published as: Porubský, Štefan; Porubsky, Stefan; Porubský, Š.; Porubsky, S.; Porubský, Stefan; Porubský, S. more...less External Links: MGP Documents Indexed: 79 Publications since 1969, including 2 Books 3 Contributions as Editor Reviewing Activity: 522 Reviews Co-Authors: 26 Co-Authors with 31 Joint Publications 940 Co-Co-Authors all top 5 Co-Authors 51 single-authored 7 Strauch, Oto 3 Luca, Florian 3 Nemoga, Karol 3 Schönheim, Johanan 2 Glöckner, Helge 2 Grošek, Otokar 2 Lucht, Lutz Gerhard 2 Marko, František 2 Mišík, Ladislav jun. 2 Šalát, Tibor 1 Baláž, Vladimír 1 Besser, Bruno P. 1 Chen, Yonggao 1 Jakubec, Stanislav 1 Knopfmacher, John 1 Laššák, Miroslav 1 Paštéka, Milan 1 Plesník, Ján 1 Pomerance, Carl Bernard 1 Rokyta, Mirko 1 Rosa, Alexander 1 Schwarz, Wolfgang Karl 1 Širáň, Jozef 1 Tóth, János T. 1 Vlášek, Zdeněk 1 Znám, Štefan all top 5 Serials 12 Mathematica Slovaca 8 Tatra Mountains Mathematical Publications 6 Czechoslovak Mathematical Journal 4 Acta Arithmetica 3 Colloquium Mathematicum 3 Uniform Distribution Theory 2 Journal of Number Theory 2 Monatshefte für Mathematik 2 Publicationes Mathematicae Debrecen 2 Grazer Mathematische Berichte 2 Acta Facultatis Rerum Naturalium Universitatis Comenianae. Mathematica 1 Discrete Mathematics 1 Periodica Mathematica Hungarica 1 Studia Mathematica 1 Časopis Pro Pěstování Matematiky 1 The Fibonacci Quarterly 1 Proceedings of the American Mathematical Society 1 Quaestiones Mathematicae 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica 1 Prace Naukowe Uniwersytetu Śląskiego w Katowicach. Annales Mathematicae Silesianae 1 Nieuw Archief voor Wiskunde. Derde Serie 1 Pokroky Matematiky, Fyziky & Astronomie 1 Expositiones Mathematicae 1 Smarandache Notions Journal 1 Acta Academiae Paedagogicae Agriensis. Nova Series. Sectio Matematicae 1 Annales Mathematicae Silesianae 1 International Journal of Number Theory 1 Matematický Časopis, Slovenskej Akadémie Vied 1 Nordisk Matematisk Tidskrift 1 Journal of Mathematical Cryptology 1 Šiauliai Mathematical Seminar all top 5 Fields 69 Number theory (11-XX) 11 History and biography (01-XX) 7 Combinatorics (05-XX) 6 Group theory and generalizations (20-XX) 5 Commutative algebra (13-XX) 3 General and overarching topics; collections (00-XX) 3 Information and communication theory, circuits (94-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Functional analysis (46-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 39 Publications have been cited 177 times in 123 Documents Cited by ▼ Year ▼ Distribution of sequences. A sampler. Zbl 1078.11051 Strauch, Oto; Porubský, Štefan 26 2005 Covering systems of Paul Erdős past, present and future. Zbl 1055.11007 Porubský, Š.; Schönheim, J. 21 2002 Results and problems on covering systems of residue classes. Zbl 0479.10032 Porubský, Štefan 17 1981 Natural exactly covering systems of congruences. Zbl 0327.10005 Porubský, Štefan 15 1974 Covering systems and generating functions. Zbl 0268.10044 Porubsky, Stefan 14 1975 Topologies related to arithmetical properties of integral domains. Zbl 0883.11043 Knopfmacher, John; Porubský, Štefan 9 1997 Sets with prescribed arithmetic densities. Zbl 1212.11018 Luca, Florian; Pomerance, Carl; Porubský, Štefan 8 2008 On \(m\) times covering systems of congruences. Zbl 0282.10033 Porubsky, Stefan 7 1976 Fermat-Euler theorem in algebraic number fields. Zbl 0877.11069 Laššák, Miroslav; Porubský, Štefan 6 1996 On asymptotic and logarithmic densities. Zbl 1150.11341 Luca, Florian; Porubský, Štefan 5 2005 Transformations that preserve uniform distribution. Zbl 0656.10047 Porubský, Š.; Šalát, T.; Strauch, O. 4 1988 Identities involving covering systems. I. Zbl 0809.11012 Porubský, Štefan 4 1994 Coprime solutions to \(ax\equiv b \pmod n\). Zbl 1327.11004 Grošek, Otokar; Porubský, Štefan 4 2013 Arithmetically related ideal topologies and the infinitude of primes. Zbl 1008.11036 Porubský, Štefan 3 2001 A note on density and the Dirichlet condition. Zbl 1290.11012 Marko, František; Porubský, Štefan 3 2012 Topological aspects of infinitude of primes in arithmetic progressions. Zbl 1359.11012 Marko, František; Porubský, Štefan 2 2015 Professor Štefan Znám (1936–1993). Zbl 0808.01025 Plesník, Ján; Porubský, Štefan; Rosa, Alex; Širáň, Jozef 2 1994 Structure of the group of quasi multiplicative arithmetical functions. Zbl 1050.11007 Porubský, S. 2 2003 Further congruences involving Bernoulli numbers. Zbl 0507.10008 Porubsky, Stefan 2 1983 On a class of uniformly distributed sequences. Zbl 0735.11034 Porubský, Štefan; Šalát, Tibor; Strauch, Oto 2 1990 A common structure of \(n_k\)’s for which \(n_k\alpha\) mod \(1 \to x\). Zbl 1349.11111 Porubský, Štefan; Strauch, Oto 2 2015 The multiplicative group generated by the Lehmer numbers. Zbl 1044.11008 Luca, Florian; Porubský, Štefan 2 2003 On the density of certain sets in arithmetical semigroups. Zbl 0439.10033 Porubsky, Stefan 1 1979 Identities with covering systems and Appell polynomials. Zbl 0934.11009 Porubský, Štefan 1 1999 On coverings of almost Dedekind domains. Zbl 0327.13013 Porubsky, Stefan 1 1976 Commutative semi-primary x-semigroups. Zbl 0381.20047 Porubsky, Stefan 1 1977 On arithmetic densities of sets of generalized integers. Zbl 1331.11005 Porubský, Štefan 1 2008 Topologies induced by systems of divisors. Zbl 0957.11008 Porubský, Štefan 1 2000 Covering systems, Kubert identities and difference equations. Zbl 0991.11005 Porubský, Štefan 1 2000 Identities involving covering systems. II. Zbl 0821.11008 Porubský, Štefan 1 1994 Old and new necessary and sufficient conditions on \((a_i, m_i)\) in order that \(n\equiv a_i \pmod{m_i}\) be a covering system. Zbl 1071.11012 Porubský, Štefan; Schönheim, Johanan 1 2003 New necessary and sufficient conditions on \((a_i,m_i)\) in order that \(x\equiv a_i\pmod{m_i}\) be a covering system. Zbl 1075.11500 Porubský, Štefan; Schönheim, J. 1 2002 A characterization of finite unions of arithmetic sequences. Zbl 0474.05001 Porubsky, Stefan 1 1982 General Dirichlet series, arithmetic convolution equations and Laplace transforms. Zbl 1177.11011 Glöckner, Helge; Lucht, Lutz G.; Porubský, Štefan 1 2009 Generalization of some results for exactly covering systems. Zbl 0238.10040 Porubsky, Stefan 1 1972 On covering of rings by their residue classes. Zbl 0246.13011 Porubský, Štefan; Znám, Štefan 1 1972 Solutions to arithmetic convolution equations. Zbl 1113.11005 Glöckner, Helge; Lucht, Lutz G.; Porubský, Štefan 1 2007 Uniform distribution of the weighted sum-of-digits functions. Zbl 1491.11073 Mišík, Ladislav; Porubský, Štefan; Strauch, Oto 1 2021 New solvability conditions for congruence \(ax\equiv b\pmod n\). Zbl 1395.11011 Porubský, Štefan 1 2015 Uniform distribution of the weighted sum-of-digits functions. Zbl 1491.11073 Mišík, Ladislav; Porubský, Štefan; Strauch, Oto 1 2021 Topological aspects of infinitude of primes in arithmetic progressions. Zbl 1359.11012 Marko, František; Porubský, Štefan 2 2015 A common structure of \(n_k\)’s for which \(n_k\alpha\) mod \(1 \to x\). Zbl 1349.11111 Porubský, Štefan; Strauch, Oto 2 2015 New solvability conditions for congruence \(ax\equiv b\pmod n\). Zbl 1395.11011 Porubský, Štefan 1 2015 Coprime solutions to \(ax\equiv b \pmod n\). Zbl 1327.11004 Grošek, Otokar; Porubský, Štefan 4 2013 A note on density and the Dirichlet condition. Zbl 1290.11012 Marko, František; Porubský, Štefan 3 2012 General Dirichlet series, arithmetic convolution equations and Laplace transforms. Zbl 1177.11011 Glöckner, Helge; Lucht, Lutz G.; Porubský, Štefan 1 2009 Sets with prescribed arithmetic densities. Zbl 1212.11018 Luca, Florian; Pomerance, Carl; Porubský, Štefan 8 2008 On arithmetic densities of sets of generalized integers. Zbl 1331.11005 Porubský, Štefan 1 2008 Solutions to arithmetic convolution equations. Zbl 1113.11005 Glöckner, Helge; Lucht, Lutz G.; Porubský, Štefan 1 2007 Distribution of sequences. A sampler. Zbl 1078.11051 Strauch, Oto; Porubský, Štefan 26 2005 On asymptotic and logarithmic densities. Zbl 1150.11341 Luca, Florian; Porubský, Štefan 5 2005 Structure of the group of quasi multiplicative arithmetical functions. Zbl 1050.11007 Porubský, S. 2 2003 The multiplicative group generated by the Lehmer numbers. Zbl 1044.11008 Luca, Florian; Porubský, Štefan 2 2003 Old and new necessary and sufficient conditions on \((a_i, m_i)\) in order that \(n\equiv a_i \pmod{m_i}\) be a covering system. Zbl 1071.11012 Porubský, Štefan; Schönheim, Johanan 1 2003 Covering systems of Paul Erdős past, present and future. Zbl 1055.11007 Porubský, Š.; Schönheim, J. 21 2002 New necessary and sufficient conditions on \((a_i,m_i)\) in order that \(x\equiv a_i\pmod{m_i}\) be a covering system. Zbl 1075.11500 Porubský, Štefan; Schönheim, J. 1 2002 Arithmetically related ideal topologies and the infinitude of primes. Zbl 1008.11036 Porubský, Štefan 3 2001 Topologies induced by systems of divisors. Zbl 0957.11008 Porubský, Štefan 1 2000 Covering systems, Kubert identities and difference equations. Zbl 0991.11005 Porubský, Štefan 1 2000 Identities with covering systems and Appell polynomials. Zbl 0934.11009 Porubský, Štefan 1 1999 Topologies related to arithmetical properties of integral domains. Zbl 0883.11043 Knopfmacher, John; Porubský, Štefan 9 1997 Fermat-Euler theorem in algebraic number fields. Zbl 0877.11069 Laššák, Miroslav; Porubský, Štefan 6 1996 Identities involving covering systems. I. Zbl 0809.11012 Porubský, Štefan 4 1994 Professor Štefan Znám (1936–1993). Zbl 0808.01025 Plesník, Ján; Porubský, Štefan; Rosa, Alex; Širáň, Jozef 2 1994 Identities involving covering systems. II. Zbl 0821.11008 Porubský, Štefan 1 1994 On a class of uniformly distributed sequences. Zbl 0735.11034 Porubský, Štefan; Šalát, Tibor; Strauch, Oto 2 1990 Transformations that preserve uniform distribution. Zbl 0656.10047 Porubský, Š.; Šalát, T.; Strauch, O. 4 1988 Further congruences involving Bernoulli numbers. Zbl 0507.10008 Porubsky, Stefan 2 1983 A characterization of finite unions of arithmetic sequences. Zbl 0474.05001 Porubsky, Stefan 1 1982 Results and problems on covering systems of residue classes. Zbl 0479.10032 Porubský, Štefan 17 1981 On the density of certain sets in arithmetical semigroups. Zbl 0439.10033 Porubsky, Stefan 1 1979 Commutative semi-primary x-semigroups. Zbl 0381.20047 Porubsky, Stefan 1 1977 On \(m\) times covering systems of congruences. Zbl 0282.10033 Porubsky, Stefan 7 1976 On coverings of almost Dedekind domains. Zbl 0327.13013 Porubsky, Stefan 1 1976 Covering systems and generating functions. Zbl 0268.10044 Porubsky, Stefan 14 1975 Natural exactly covering systems of congruences. Zbl 0327.10005 Porubský, Štefan 15 1974 Generalization of some results for exactly covering systems. Zbl 0238.10040 Porubsky, Stefan 1 1972 On covering of rings by their residue classes. Zbl 0246.13011 Porubský, Štefan; Znám, Štefan 1 1972 all cited Publications top 5 cited Publications all top 5 Cited by 148 Authors 11 Porubsky, Stefan 9 Sun, Zhi-Wei 8 Tóth, János T. 7 Strauch, Oto 5 Baláž, Vladimír 5 Filip, Ferdinánd 5 Fraenkel, Aviezri Siegmund 5 Mišík, Ladislav jun. 4 Bukor, József 4 Chouraqui, Fabienne 4 Dubickas, Artūras 4 Simpson, Jamie 3 Antony, Deepa 3 Barman, Rupam 3 Berger, Marc A. 3 Burshtein, Nechemia 3 Felzenbaum, Alexander 3 Paštéka, Milan 3 Winkler, Reinhard 2 Fialová, Jana 2 Glöckner, Helge 2 Korec, Ivan 2 Lagarias, Jeffrey C. 2 Lucht, Lutz Gerhard 2 Miska, Piotr 2 Myerson, Gerald Ira 2 Pan, Hao 2 Pomerance, Carl Bernard 2 Schönheim, Johanan 2 Shallit, Jeffrey Outlaw 2 Spirito, Dario 2 Šustek, Jan 2 Tapia-Recillas, Horacio 2 Wagner, Stephan G. 1 Abram, William C. 1 Bai, James Haoyu 1 Balister, Paul N. 1 Banakh, Taras Onufrievich 1 Barát, János 1 Bari, Naveed S. 1 Berend, Daniel 1 Bergelson, Vitaly 1 Berger, Arno 1 Bertók, Csanád 1 Bibak, Khodakhast 1 Bollobás, Béla 1 Bugeaud, Yann 1 Cai, Tianxin 1 Chen, Evan 1 Chern, Shane 1 Clark, Peter Louis 1 Cochrane, Todd 1 de Vega, F. Javier 1 Diaz-Vargas, Javier 1 Dick, Josef 1 Ding, Yuchen 1 Donnay, Christopher 1 Dvořáková, L’ubomíra 1 Eggleton, Roger B. 1 Faisant, Alain 1 Fečkan, Michal 1 Filaseta, Michael A. 1 Ford, Kevin B. 1 Garcia, Stephan Ramon 1 Gibson, Donald Jason 1 Ginosar, Yuval 1 Goddard, Wayne Dean 1 Gogola, J. 1 Goseki, Zensiro 1 Goulden, Ian P. 1 Granville, Andrew James 1 Grekos, Georges 1 Guo, Song 1 Hajdu, Lajos 1 Hernandez Melo, Cesar Adolfo 1 Heuberger, Clemens 1 Horák, Peter 1 Hunsicker, Eugenie 1 Iacò, Maria Rita 1 Jajcay, Robert 1 Jankauskas, Jonas 1 Jankov, Alexandr 1 Jia, Lirui 1 Juráš, Martin 1 Kapron, Bruce M. 1 Kohl, Stefan 1 Konyagin, Sergeĭ Vladimirovich 1 Kwela, Marta 1 Laššák, Miroslav 1 Lebowitz-Lockard, Noah 1 Lekár, Milan 1 Leonetti, Paolo 1 Lewis, Ethan S. 1 Li, Wen-Ch’ing Winnie 1 Limić, Nedžad 1 Limic, Vlada 1 Longhi, Ignazio 1 Luca, Florian 1 Margolis, Leo 1 Marko, František ...and 48 more Authors all top 5 Cited in 62 Serials 9 Mathematica Slovaca 8 Journal of Number Theory 7 Proceedings of the American Mathematical Society 6 Discrete Mathematics 6 Advances in Applied Mathematics 4 Rocky Mountain Journal of Mathematics 3 Periodica Mathematica Hungarica 3 Monatshefte für Mathematik 2 Bulletin of the Australian Mathematical Society 2 Communications in Algebra 2 Discrete Applied Mathematics 2 Israel Journal of Mathematics 2 Mathematics of Computation 2 Archiv der Mathematik 2 Czechoslovak Mathematical Journal 2 Quaestiones Mathematicae 2 Transactions of the American Mathematical Society 2 Topology and its Applications 2 Expositiones Mathematicae 2 Indagationes Mathematicae. New Series 2 Tatra Mountains Mathematical Publications 2 JP Journal of Algebra, Number Theory and Applications 2 International Journal of Number Theory 2 Proceedings of the Steklov Institute of Mathematics 2 Acta Mathematica Universitatis Ostraviensis 2 Uniform Distribution Theory 1 Journal of Mathematical Analysis and Applications 1 The Mathematical Intelligencer 1 Beiträge zur Algebra und Geometrie 1 Acta Arithmetica 1 Canadian Journal of Mathematics 1 Commentationes Mathematicae Universitatis Carolinae 1 Fuzzy Sets and Systems 1 Information Sciences 1 Journal of Algebra 1 Journal of Approximation Theory 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Semigroup Forum 1 European Journal of Combinatorics 1 Journal of the American Mathematical Society 1 International Journal of Algebra and Computation 1 Elemente der Mathematik 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal de Théorie des Nombres de Bordeaux 1 Electronic Research Announcements of the American Mathematical Society 1 The Ramanujan Journal 1 Journal of Inequalities and Applications 1 Journal of Integer Sequences 1 Journal of the European Mathematical Society (JEMS) 1 Integers 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Mediterranean Journal of Mathematics 1 Acta Universitatis Sapientiae. Mathematica 1 Groups, Complexity, Cryptology 1 Probability Surveys 1 Communications in Mathematics 1 Journal of Classical Analysis 1 Research in the Mathematical Sciences 1 Advances in Group Theory and Applications all top 5 Cited in 29 Fields 104 Number theory (11-XX) 12 Combinatorics (05-XX) 9 Group theory and generalizations (20-XX) 9 Sequences, series, summability (40-XX) 9 General topology (54-XX) 7 Commutative algebra (13-XX) 7 Measure and integration (28-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Probability theory and stochastic processes (60-XX) 4 Numerical analysis (65-XX) 3 Real functions (26-XX) 3 Computer science (68-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Topological groups, Lie groups (22-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 Convex and discrete geometry (52-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year