Edit Profile Porubsky, Stefan Compute Distance To: Compute Author ID: porubsky.stefan Published as: Porubsky, S.; Porubsky, Stefan; Porubský, S.; Porubský, Stefan; Porubský, Š.; Porubský, Štefan External Links: MGP Documents Indexed: 80 Publications since 1969, including 4 Books Reviewing Activity: 515 Reviews all top 5 Co-Authors 50 single-authored 6 Strauch, Oto 3 Luca, Florian 3 Nemoga, Karol 3 Schönheim, Jochanan 2 Glöckner, Helge 2 Grošek, Otokar 2 Lucht, Lutz Gerhard 2 Marko, František 2 Šalát, Tibor 1 Baláž, Vladimír 1 Besser, Bruno P. 1 Chen, Yonggao 1 Jakubec, Stanislav 1 Karatsuba, Anatoliĭ Alekseevich 1 Knopfmacher, John 1 Laššák, Miroslav 1 Mišík, Ladislav jun. 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 Tomáš Visnyaia 1 Vlášek, Zdeněk 1 Znam, Stefan all top 5 Serials 12 Mathematica Slovaca 8 Tatra Mountains Mathematical Publications 6 Czechoslovak Mathematical Journal 4 Acta Arithmetica 3 Colloquium Mathematicum 2 Journal of Number Theory 2 Monatshefte für Mathematik 2 Publicationes Mathematicae 2 Grazer Mathematische Berichte 2 Acta Facultatis Rerum Naturalium Universitatis Comenianae. Mathematica 2 Uniform Distribution Theory 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 Linear and multilinear algebra; matrix theory (15-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 38 Publications have been cited 132 times in 93 Documents Cited by ▼ Year ▼ Distribution of sequences. A sampler. Zbl 1078.11051Strauch, Oto; Porubský, Štefan 16 2005 Covering systems of Paul Erdős past, present and future. Zbl 1055.11007Porubský, Š.; Schönheim, J. 16 2002 Results and problems on covering systems of residue classes. Zbl 0479.10032Porubský, Štefan 15 1981 Natural exactly covering systems of congruences. Zbl 0327.10005Porubský, Štefan 11 1974 Covering systems and generating functions. Zbl 0268.10044Porubsky, Stefan 10 1975 Topologies related to arithmetical properties of integral domains. Zbl 0883.11043Knopfmacher, John; Porubský, Štefan 6 1997 On \(m\) times covering systems of congruences. Zbl 0282.10033Porubsky, Stefan 6 1976 Sets with prescribed arithmetic densities. Zbl 1212.11018Luca, Florian; Pomerance, Carl; Porubský, Štefan 4 2008 On asymptotic and logarithmic densities. Zbl 1150.11341Luca, Florian; Porubský, Štefan 4 2005 Fermat-Euler theorem in algebraic number fields. Zbl 0877.11069Laššák, Miroslav; Porubský, Štefan 4 1996 Identities involving covering systems. I. Zbl 0809.11012Porubský, Štefan 4 1994 Transformations that preserve uniform distribution. Zbl 0656.10047Porubský, Š.; Šalát, T.; Strauch, O. 4 1988 Coprime solutions to \(ax\equiv b \pmod n\). Zbl 1327.11004Grošek, Otokar; Porubský, Štefan 3 2013 A note on density and the Dirichlet condition. Zbl 1290.11012Marko, František; Porubský, Štefan 2 2012 Structure of the group of quasi multiplicative arithmetical functions. Zbl 1050.11007Porubský, S. 2 2003 The multiplicative group generated by the Lehmer numbers. Zbl 1044.11008Luca, Florian; Porubský, Štefan 2 2003 Arithmetically related ideal topologies and the infinitude of primes. Zbl 1008.11036Porubský, Štefan 2 2001 A common structure of \(n_k\)’s for which \(n_k\alpha\) mod \(1 \to x\). Zbl 1349.11111Porubský, Štefan; Strauch, Oto 1 2015 New solvability conditions for congruence \(ax\equiv b\pmod n\). Zbl 1395.11011Porubský, Štefan 1 2015 Topological aspects of infinitude of primes in arithmetic progressions. Zbl 1359.11012Marko, František; Porubský, Štefan 1 2015 General Dirichlet series, arithmetic convolution equations and Laplace transforms. Zbl 1177.11011Glöckner, Helge; Lucht, Lutz G.; Porubský, Štefan 1 2009 On arithmetic densities of sets of generalized integers. Zbl 1331.11005Porubský, Štefan 1 2008 Solutions to arithmetic convolution equations. Zbl 1113.11005Glöckner, Helge; Lucht, Lutz G.; Porubský, Štefan 1 2007 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 1071.11012Porubský, Štefan; Schönheim, Jochanan 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 1075.11500Porubský, Štefan; Schönheim, J. 1 2002 Covering systems, Kubert identities and difference equations. Zbl 0991.11005Porubský, Štefan 1 2000 Identities with covering systems and Appell polynomials. Zbl 0934.11009Porubský, Štefan 1 1999 Identities involving covering systems. II. Zbl 0821.11008Porubský, Štefan 1 1994 Professor Štefan Znám (1936–1993). Zbl 0808.01025Plesník, Ján; Porubský, Štefan; Rosa, Alex; Širáň, Jozef 1 1994 On a class of uniformly distributed sequences. Zbl 0735.11034Porubský, Štefan; Šalát, Tibor; Strauch, Oto 1 1990 Notes on density and multiplicative structure of sets of generalized integers. Zbl 0553.10038Porubský, Š. 1 1984 Further congruences involving Bernoulli numbers. Zbl 0507.10008Porubsky, Stefan 1 1983 A characterization of finite unions of arithmetic sequences. Zbl 0474.05001Porubsky, Stefan 1 1982 On the density of certain sets in arithmetical semigroups. Zbl 0439.10033Porubsky, Stefan 1 1979 Commutative semi-primary x-semigroups. Zbl 0381.20047Porubsky, Stefan 1 1977 On coverings of almost Dedekind domains. Zbl 0327.13013Porubsky, Stefan 1 1976 On covering of rings by their residue classes. Zbl 0246.13011Porubský, Štefan; Znám, Štefan 1 1972 Generalization of some results for exactly covering systems. Zbl 0238.10040Porubsky, Stefan 1 1972 A common structure of \(n_k\)’s for which \(n_k\alpha\) mod \(1 \to x\). Zbl 1349.11111Porubský, Štefan; Strauch, Oto 1 2015 New solvability conditions for congruence \(ax\equiv b\pmod n\). Zbl 1395.11011Porubský, Štefan 1 2015 Topological aspects of infinitude of primes in arithmetic progressions. Zbl 1359.11012Marko, František; Porubský, Štefan 1 2015 Coprime solutions to \(ax\equiv b \pmod n\). Zbl 1327.11004Grošek, Otokar; Porubský, Štefan 3 2013 A note on density and the Dirichlet condition. Zbl 1290.11012Marko, František; Porubský, Štefan 2 2012 General Dirichlet series, arithmetic convolution equations and Laplace transforms. Zbl 1177.11011Glöckner, Helge; Lucht, Lutz G.; Porubský, Štefan 1 2009 Sets with prescribed arithmetic densities. Zbl 1212.11018Luca, Florian; Pomerance, Carl; Porubský, Štefan 4 2008 On arithmetic densities of sets of generalized integers. Zbl 1331.11005Porubský, Štefan 1 2008 Solutions to arithmetic convolution equations. Zbl 1113.11005Glöckner, Helge; Lucht, Lutz G.; Porubský, Štefan 1 2007 Distribution of sequences. A sampler. Zbl 1078.11051Strauch, Oto; Porubský, Štefan 16 2005 On asymptotic and logarithmic densities. Zbl 1150.11341Luca, Florian; Porubský, Štefan 4 2005 Structure of the group of quasi multiplicative arithmetical functions. Zbl 1050.11007Porubský, S. 2 2003 The multiplicative group generated by the Lehmer numbers. Zbl 1044.11008Luca, 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 1071.11012Porubský, Štefan; Schönheim, Jochanan 1 2003 Covering systems of Paul Erdős past, present and future. Zbl 1055.11007Porubský, Š.; Schönheim, J. 16 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 1075.11500Porubský, Štefan; Schönheim, J. 1 2002 Arithmetically related ideal topologies and the infinitude of primes. Zbl 1008.11036Porubský, Štefan 2 2001 Covering systems, Kubert identities and difference equations. Zbl 0991.11005Porubský, Štefan 1 2000 Identities with covering systems and Appell polynomials. Zbl 0934.11009Porubský, Štefan 1 1999 Topologies related to arithmetical properties of integral domains. Zbl 0883.11043Knopfmacher, John; Porubský, Štefan 6 1997 Fermat-Euler theorem in algebraic number fields. Zbl 0877.11069Laššák, Miroslav; Porubský, Štefan 4 1996 Identities involving covering systems. I. Zbl 0809.11012Porubský, Štefan 4 1994 Identities involving covering systems. II. Zbl 0821.11008Porubský, Štefan 1 1994 Professor Štefan Znám (1936–1993). Zbl 0808.01025Plesník, Ján; Porubský, Štefan; Rosa, Alex; Širáň, Jozef 1 1994 On a class of uniformly distributed sequences. Zbl 0735.11034Porubský, Štefan; Šalát, Tibor; Strauch, Oto 1 1990 Transformations that preserve uniform distribution. Zbl 0656.10047Porubský, Š.; Šalát, T.; Strauch, O. 4 1988 Notes on density and multiplicative structure of sets of generalized integers. Zbl 0553.10038Porubský, Š. 1 1984 Further congruences involving Bernoulli numbers. Zbl 0507.10008Porubsky, Stefan 1 1983 A characterization of finite unions of arithmetic sequences. Zbl 0474.05001Porubsky, Stefan 1 1982 Results and problems on covering systems of residue classes. Zbl 0479.10032Porubský, Štefan 15 1981 On the density of certain sets in arithmetical semigroups. Zbl 0439.10033Porubsky, Stefan 1 1979 Commutative semi-primary x-semigroups. Zbl 0381.20047Porubsky, Stefan 1 1977 On \(m\) times covering systems of congruences. Zbl 0282.10033Porubsky, Stefan 6 1976 On coverings of almost Dedekind domains. Zbl 0327.13013Porubsky, Stefan 1 1976 Covering systems and generating functions. Zbl 0268.10044Porubsky, Stefan 10 1975 Natural exactly covering systems of congruences. Zbl 0327.10005Porubský, Štefan 11 1974 On covering of rings by their residue classes. Zbl 0246.13011Porubský, Štefan; Znám, Štefan 1 1972 Generalization of some results for exactly covering systems. Zbl 0238.10040Porubsky, Stefan 1 1972 all cited Publications top 5 cited Publications all top 5 Cited by 120 Authors 10 Porubsky, Stefan 8 Sun, Zhi-Wei 6 Tóth, János Tomáš Visnyaia 5 Fraenkel, Aviezri Siegmund 5 Mišík, Ladislav jun. 5 Strauch, Oto 4 Baláž, Vladimír 4 Dubickas, Artūras 4 Simpson, Jamie 3 Berger, Marc A. 3 Burshtein, Nechemia 3 Felzenbaum, Alexander 3 Filip, Ferdinánd 3 Winkler, Reinhard 2 Bukor, József 2 Glöckner, Helge 2 Grekos, Georges 2 Korec, Ivan 2 Lagarias, Jeffrey C. 2 Lucht, Lutz Gerhard 2 Myerson, Gerald Ira 2 Pan, Hao 2 Pomerance, Carl Bernard 2 Schönheim, Jochanan 2 Wagner, Stephan G. 1 Abram, William C. 1 Banakh, Taras Onufrievich 1 Barát, János 1 Bari, Naveed S. 1 Berend, Daniel 1 Bergelson, Vitaly 1 Bertók, Csanád 1 Bibak, Khodakhast 1 Bugeaud, Yann 1 Cai, Tianxin 1 Chen, Evan 1 Chouraqui, Fabienne 1 Clark, Peter Louis 1 Cochrane, Todd 1 Dick, Josef 1 Ding, Yuchen 1 Donnay, Christopher 1 Eggleton, Roger B. 1 Faisant, Alain 1 Fečkan, Michal 1 Fialová, Jana 1 Filaseta, Michael A. 1 Ford, Kevin B. 1 Garcia, Stephan Ramon 1 Gibson, Donald Jason 1 Goddard, Wayne Dean 1 Gogola, J. 1 Goseki, Zensiro 1 Goulden, Ian P. 1 Granville, Andrew James 1 Grozdanov, Vasil S. 1 Guo, Song 1 Hajdu, Lajos 1 Heuberger, Clemens 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 Kellerer, Johann 1 Kohl, Stefan 1 Konyagin, Sergeĭ Vladimirovich 1 Laššák, Miroslav 1 Lebowitz-Lockard, Noah 1 Lekár, Milan 1 Leonetti, Paolo 1 Lewis, Ethan 1 Li, Wen-Ch’ing Winnie 1 Limić, Nedžad 1 Limic, Vlada 1 Luca, Florian 1 Margolis, Leo 1 Marko, František 1 Mioduszewski, Jerzy 1 Movshovich, Yevgenya 1 Nielsen, Pace P. 1 Orum, Chris 1 Pandey, Ram Krishna 1 Park, Peter Seho 1 Paštéka, Milan 1 Pollack, Paul 1 Poon, Jacky 1 Richmond, L. Bruce 1 Rotkiewicz, Andrzej 1 Rouse, Jeremy A. 1 Šalát, Tibor 1 Schmeling, Jorg 1 Schnabel, Ofir 1 Shallit, Jeffrey O. 1 Shen, Zhongyan 1 Simmons, David 1 Slonim, Daniel J. ...and 20 more Authors all top 5 Cited in 46 Serials 9 Journal of Number Theory 8 Mathematica Slovaca 7 Discrete Mathematics 7 Proceedings of the American Mathematical Society 6 Advances in Applied Mathematics 4 Rocky Mountain Journal of Mathematics 3 Monatshefte für Mathematik 2 Discrete Applied Mathematics 2 Periodica Mathematica Hungarica 2 Czechoslovak Mathematical Journal 2 Quaestiones Mathematicae 2 Transactions of the American Mathematical Society 2 Indagationes Mathematicae. New Series 2 Proceedings of the Steklov Institute of Mathematics 2 Acta Mathematica Universitatis Ostraviensis 1 Bulletin of the Australian Mathematical Society 1 Israel Journal of Mathematics 1 Mathematics of Computation 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 Semigroup Forum 1 European Journal of Combinatorics 1 Journal of the American Mathematical Society 1 International Journal of Algebra and Computation 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Expositiones Mathematicae 1 Journal de Théorie des Nombres de Bordeaux 1 Electronic Research Announcements of the American Mathematical Society 1 The Ramanujan Journal 1 Journal of Integer Sequences 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Mediterranean Journal of Mathematics 1 International Journal of Number Theory 1 Groups, Complexity, Cryptology 1 Probability Surveys 1 Research in the Mathematical Sciences all top 5 Cited in 27 Fields 80 Number theory (11-XX) 12 Combinatorics (05-XX) 7 Measure and integration (28-XX) 6 Group theory and generalizations (20-XX) 6 General topology (54-XX) 5 Sequences, series, summability (40-XX) 4 Commutative algebra (13-XX) 4 Dynamical systems and ergodic theory (37-XX) 2 Field theory and polynomials (12-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-XX) 2 Functional analysis (46-XX) 2 Convex and discrete geometry (52-XX) 2 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year