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## Porubsky, Stefan

Compute Distance To:
 Author ID: porubsky.stefan Published as: Porubský, Štefan; Porubsky, Stefan; Porubský, Š.; Porubsky, S.; Porubský, Stefan; Porubský, S. External Links: MGP
 Documents Indexed: 80 Publications since 1969, including 4 Books Reviewing Activity: 515 Reviews
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#### 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 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
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#### 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
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#### 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)

#### Citations contained in zbMATH Open

37 Publications have been cited 128 times in 91 Documents Cited by Year
Distribution of sequences. A sampler. Zbl 1078.11051
Strauch, Oto; Porubský, Štefan
2005
Covering systems of Paul Erdős past, present and future. Zbl 1055.11007
Porubský, Š.; Schönheim, J.
2002
Results and problems on covering systems of residue classes. Zbl 0479.10032
Porubský, Štefan
1981
Natural exactly covering systems of congruences. Zbl 0327.10005
Porubský, Štefan
1974
Covering systems and generating functions. Zbl 0268.10044
Porubsky, Stefan
1975
Topologies related to arithmetical properties of integral domains. Zbl 0883.11043
Knopfmacher, John; Porubský, Štefan
1997
On $$m$$ times covering systems of congruences. Zbl 0282.10033
Porubsky, Stefan
1976
On asymptotic and logarithmic densities. Zbl 1150.11341
Luca, Florian; Porubský, Štefan
2005
Identities involving covering systems. I. Zbl 0809.11012
Porubský, Štefan
1994
Sets with prescribed arithmetic densities. Zbl 1212.11018
Luca, Florian; Pomerance, Carl; Porubský, Štefan
2008
Fermat-Euler theorem in algebraic number fields. Zbl 0877.11069
Laššák, Miroslav; Porubský, Štefan
1996
Transformations that preserve uniform distribution. Zbl 0656.10047
Porubský, Š.; Šalát, T.; Strauch, O.
1988
Coprime solutions to $$ax\equiv b \pmod n$$. Zbl 1327.11004
Grošek, Otokar; Porubský, Štefan
2013
Arithmetically related ideal topologies and the infinitude of primes. Zbl 1008.11036
Porubský, Štefan
2001
The multiplicative group generated by the Lehmer numbers. Zbl 1044.11008
Luca, Florian; Porubský, Štefan
2003
Structure of the group of quasi multiplicative arithmetical functions. Zbl 1050.11007
Porubský, S.
2003
A note on density and the Dirichlet condition. Zbl 1290.11012
Marko, František; Porubský, Štefan
2012
A common structure of $$n_k$$’s for which $$n_k\alpha$$ mod $$1 \to x$$. Zbl 1349.11111
Porubský, Štefan; Strauch, Oto
2015
Identities with covering systems and Appell polynomials. Zbl 0934.11009
Porubský, Štefan
1999
Commutative semi-primary x-semigroups. Zbl 0381.20047
Porubsky, Stefan
1977
On the density of certain sets in arithmetical semigroups. Zbl 0439.10033
Porubsky, Stefan
1979
Covering systems, Kubert identities and difference equations. Zbl 0991.11005
Porubský, Štefan
2000
Professor Štefan Znám (1936–1993). Zbl 0808.01025
Plesník, Ján; Porubský, Štefan; Rosa, Alex; Širáň, Jozef
1994
Identities involving covering systems. II. Zbl 0821.11008
Porubský, Štefan
1994
Topological aspects of infinitude of primes in arithmetic progressions. Zbl 1359.11012
Marko, František; Porubský, Štefan
2015
General Dirichlet series, arithmetic convolution equations and Laplace transforms. Zbl 1177.11011
Glöckner, Helge; Lucht, Lutz G.; Porubský, Štefan
2009
On arithmetic densities of sets of generalized integers. Zbl 1331.11005
Porubský, Štefan
2008
New solvability conditions for congruence $$ax\equiv b\pmod n$$. Zbl 1395.11011
Porubský, Štefan
2015
On coverings of almost Dedekind domains. Zbl 0327.13013
Porubsky, Stefan
1976
Solutions to arithmetic convolution equations. Zbl 1113.11005
Glöckner, Helge; Lucht, Lutz G.; Porubský, Štefan
2007
On a class of uniformly distributed sequences. Zbl 0735.11034
Porubský, Štefan; Šalát, Tibor; Strauch, Oto
1990
A characterization of finite unions of arithmetic sequences. Zbl 0474.05001
Porubsky, Stefan
1982
Further congruences involving Bernoulli numbers. Zbl 0507.10008
Porubsky, Stefan
1983
Generalization of some results for exactly covering systems. Zbl 0238.10040
Porubsky, Stefan
1972
On covering of rings by their residue classes. Zbl 0246.13011
Porubský, Štefan; Znám, Štefan
1972
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, Jochanan
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.
2002
A common structure of $$n_k$$’s for which $$n_k\alpha$$ mod $$1 \to x$$. Zbl 1349.11111
Porubský, Štefan; Strauch, Oto
2015
Topological aspects of infinitude of primes in arithmetic progressions. Zbl 1359.11012
Marko, František; Porubský, Štefan
2015
New solvability conditions for congruence $$ax\equiv b\pmod n$$. Zbl 1395.11011
Porubský, Štefan
2015
Coprime solutions to $$ax\equiv b \pmod n$$. Zbl 1327.11004
Grošek, Otokar; Porubský, Štefan
2013
A note on density and the Dirichlet condition. Zbl 1290.11012
Marko, František; Porubský, Štefan
2012
General Dirichlet series, arithmetic convolution equations and Laplace transforms. Zbl 1177.11011
Glöckner, Helge; Lucht, Lutz G.; Porubský, Štefan
2009
Sets with prescribed arithmetic densities. Zbl 1212.11018
Luca, Florian; Pomerance, Carl; Porubský, Štefan
2008
On arithmetic densities of sets of generalized integers. Zbl 1331.11005
Porubský, Štefan
2008
Solutions to arithmetic convolution equations. Zbl 1113.11005
Glöckner, Helge; Lucht, Lutz G.; Porubský, Štefan
2007
Distribution of sequences. A sampler. Zbl 1078.11051
Strauch, Oto; Porubský, Štefan
2005
On asymptotic and logarithmic densities. Zbl 1150.11341
Luca, Florian; Porubský, Štefan
2005
The multiplicative group generated by the Lehmer numbers. Zbl 1044.11008
Luca, Florian; Porubský, Štefan
2003
Structure of the group of quasi multiplicative arithmetical functions. Zbl 1050.11007
Porubský, S.
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, Jochanan
2003
Covering systems of Paul Erdős past, present and future. Zbl 1055.11007
Porubský, Š.; Schönheim, J.
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.
2002
Arithmetically related ideal topologies and the infinitude of primes. Zbl 1008.11036
Porubský, Štefan
2001
Covering systems, Kubert identities and difference equations. Zbl 0991.11005
Porubský, Štefan
2000
Identities with covering systems and Appell polynomials. Zbl 0934.11009
Porubský, Štefan
1999
Topologies related to arithmetical properties of integral domains. Zbl 0883.11043
Knopfmacher, John; Porubský, Štefan
1997
Fermat-Euler theorem in algebraic number fields. Zbl 0877.11069
Laššák, Miroslav; Porubský, Štefan
1996
Identities involving covering systems. I. Zbl 0809.11012
Porubský, Štefan
1994
Professor Štefan Znám (1936–1993). Zbl 0808.01025
Plesník, Ján; Porubský, Štefan; Rosa, Alex; Širáň, Jozef
1994
Identities involving covering systems. II. Zbl 0821.11008
Porubský, Štefan
1994
On a class of uniformly distributed sequences. Zbl 0735.11034
Porubský, Štefan; Šalát, Tibor; Strauch, Oto
1990
Transformations that preserve uniform distribution. Zbl 0656.10047
Porubský, Š.; Šalát, T.; Strauch, O.
1988
Further congruences involving Bernoulli numbers. Zbl 0507.10008
Porubsky, Stefan
1983
A characterization of finite unions of arithmetic sequences. Zbl 0474.05001
Porubsky, Stefan
1982
Results and problems on covering systems of residue classes. Zbl 0479.10032
Porubský, Štefan
1981
On the density of certain sets in arithmetical semigroups. Zbl 0439.10033
Porubsky, Stefan
1979
Commutative semi-primary x-semigroups. Zbl 0381.20047
Porubsky, Stefan
1977
On $$m$$ times covering systems of congruences. Zbl 0282.10033
Porubsky, Stefan
1976
On coverings of almost Dedekind domains. Zbl 0327.13013
Porubsky, Stefan
1976
Covering systems and generating functions. Zbl 0268.10044
Porubsky, Stefan
1975
Natural exactly covering systems of congruences. Zbl 0327.10005
Porubský, Štefan
1974
Generalization of some results for exactly covering systems. Zbl 0238.10040
Porubsky, Stefan
1972
On covering of rings by their residue classes. Zbl 0246.13011
Porubský, Štefan; Znám, Štefan
1972
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#### Cited by 115 Authors

 10 Porubsky, Stefan 8 Sun, Zhi-Wei 5 Fraenkel, Aviezri Siegmund 5 Strauch, Oto 5 Tóth, János Tomáš Visnyaia 4 Baláž, Vladimír 4 Dubickas, Artūras 4 Mišík, Ladislav jun. 3 Berger, Marc A. 3 Burshtein, Nechemia 3 Felzenbaum, Alexander 3 Filip, Ferdinánd 3 Simpson, Jamie 3 Winkler, Reinhard 2 Bukor, József 2 Glöckner, Helge 2 Korec, Ivan 2 Lagarias, Jeffrey C. 2 Lucht, Lutz Gerhard 2 Myerson, Gerald Ira 2 Pan, Hao 2 Pomerance, Carl Bernard 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 Grekos, Georges 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 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 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 Schönheim, Jochanan 1 Shallit, Jeffrey O. 1 Shen, Zhongyan 1 Simmons, David 1 Slonim, Daniel J. 1 Somu, Sai Teja 1 Spirito, Dario 1 Srinivasan, Venkatesh 1 Stoev, Peter V. ...and 15 more Authors
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#### Cited in 45 Serials

 8 Journal of Number Theory 8 Mathematica Slovaca 7 Proceedings of the American Mathematical Society 6 Discrete Mathematics 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 Research in the Mathematical Sciences
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#### Cited in 27 Fields

 78 Number theory (11-XX) 10 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) 3 Numerical analysis (65-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) 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 Probability theory and stochastic processes (60-XX) 1 Information and communication theory, circuits (94-XX)