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## Dubickas, Artūras

Compute Distance To:
 Author ID: dubickas.arturas Published as: Dubickas, Artūras; Dubickas, A.; Dubickas, Arturas; Dubickas, Artũras External Links: Wikidata
 Documents Indexed: 229 Publications since 1986 3 Contributions as Editor Reviewing Activity: 253 Reviews
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#### Co-Authors

 157 single-authored 11 Jankauskas, Jonas 10 Drungilas, Paulius 10 Smyth, Christopher J. 8 Sha, Min 5 Laurinčikas, Antanas 5 Novikas, Aivaras 4 Šarka, Paulius 2 Bugeaud, Yann 2 Garunkštis, Ramūnas 2 Macaitienė, Renata 2 Manstavičius, Eugenijus 2 Mossinghoff, Michael J. 2 Pritsker, Igor E. 2 Shparlinski, Igor E. 2 Šiurys, Jonas 2 Stepanauskas, Gediminas 2 Steuding, Jörn 1 Alkauskas, Giedrius 1 Balčiūnas, Aidas 1 Bang, Sejeong 1 Bentkus, Vidmants-Kastytis 1 Berend, Daniel 1 Berry, Neil 1 Dixon, John D. 1 Elkies, Noam David 1 Hare, Kevin G. 1 Konyagin, Sergeĭ Vladimirovich 1 Koolen, Jack H. 1 Kreso, Dijana 1 Luca, Florian 1 Moulton, Vincent L. 1 Plankis, Tomas 1 Poonen, Bjorn 1 Puriuškis, Gintaras 1 Schoen, Tomasz 1 Šemetulskis, Gražvydas 1 Stankevičius, Andrius 1 Steuding, Rasa 1 Xu, Zhiqiang
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#### Serials

 21 Lithuanian Mathematical Journal 13 Acta Arithmetica 9 Journal of Number Theory 5 Archiv der Mathematik 4 Bulletin of the Australian Mathematical Society 4 Mathematical Notes 4 International Journal of Number Theory 3 Moscow University Mathematics Bulletin 3 Periodica Mathematica Hungarica 3 Mathematics of Computation 3 Canadian Mathematical Bulletin 3 Colloquium Mathematicum 3 Glasgow Mathematical Journal 3 Monatshefte für Mathematik 3 Publicationes Mathematicae 3 Acta Mathematica Hungarica 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Journal de Théorie des Nombres de Bordeaux 3 Fizikos ir Matematikos Fakulteto Mokslinio Seminaro Darbai 2 Analysis Mathematica 2 Discrete Mathematics 2 Bulletin of the London Mathematical Society 2 Czechoslovak Mathematical Journal 2 Manuscripta Mathematica 2 Mathematische Nachrichten 2 Proceedings of the American Mathematical Society 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Quaestiones Mathematicae 2 Results in Mathematics 2 Glasnik Matematički. Serija III 2 Litovskiĭ Matematicheskiĭ Sbornik 2 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 2 Expositiones Mathematicae 2 Indagationes Mathematicae. New Series 2 Applicable Algebra in Engineering, Communication and Computing 2 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série 2 St. Petersburg Mathematical Journal 2 Mathematical Communications 2 Mathematical Inequalities & Applications 2 Nonlinear Analysis. Modelling and Control 2 Journal of the Australian Mathematical Society 2 Mediterranean Journal of Mathematics 2 Chebyshevskiĭ Sbornik 2 Moscow Journal of Combinatorics and Number Theory 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Scientiarum Mathematicarum 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Polonici Mathematici 1 Archivum Mathematicum 1 Canadian Journal of Mathematics 1 Commentationes Mathematicae Universitatis Carolinae 1 Functiones et Approximatio. Commentarii Mathematici 1 Illinois Journal of Mathematics 1 Journal of Approximation Theory 1 Journal of the Korean Mathematical Society 1 Kodai Mathematical Journal 1 Mathematica Scandinavica 1 Mathematica Slovaca 1 Mathematische Zeitschrift 1 Mathematika 1 Michigan Mathematical Journal 1 Proceedings of the Japan Academy. Series A 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Rendiconti del Seminario Matematico della Università di Padova 1 Siberian Mathematical Journal 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Studia Scientiarum Mathematicarum Hungarica 1 Theoretical Computer Science 1 European Journal of Combinatorics 1 Bulletin of the Korean Mathematical Society 1 Statistics & Probability Letters 1 Acta Applicandae Mathematicae 1 Graphs and Combinatorics 1 Revista Matemática Iberoamericana 1 Publicacions Matemàtiques 1 Journal of the Ramanujan Mathematical Society 1 Acta Mathematica Universitatis Comenianae. New Series 1 Aequationes Mathematicae 1 Elemente der Mathematik 1 Experimental Mathematics 1 Combinatorics, Probability and Computing 1 Journal of Mathematical Sciences (New York) 1 Turkish Journal of Mathematics 1 The Electronic Journal of Combinatorics 1 The New York Journal of Mathematics 1 Mathematical Research Letters 1 Advances in Computational Mathematics 1 Integral Transforms and Special Functions 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 The Ramanujan Journal 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Journal of Integer Sequences 1 Analysis (München) ...and 18 more Serials
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#### Fields

 214 Number theory (11-XX) 50 Field theory and polynomials (12-XX) 16 Functions of a complex variable (30-XX) 7 Combinatorics (05-XX) 7 Computer science (68-XX) 5 Real functions (26-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Approximations and expansions (41-XX) 3 Convex and discrete geometry (52-XX) 2 Commutative algebra (13-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Potential theory (31-XX) 2 Difference and functional equations (39-XX) 2 Differential geometry (53-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

142 Publications have been cited 537 times in 324 Documents Cited by Year
Arithmetical properties of powers of algebraic numbers. Zbl 1164.11025
Dubickas, Artūras
2006
On the distance from a rational power to the nearest integer. Zbl 1097.11035
Dubickas, Artūras
2006
On the metric Mahler measure. Zbl 1030.11056
Dubickas, A.; Smyth, C. J.
2001
There are only finitely many distance-regular graphs of fixed valency greater than two. Zbl 1303.05044
Bang, S.; Dubickas, A.; Koolen, J. H.; Moulton, V.
2015
Distribution modulo 1 and the discrete universality of the Riemann zeta-function. Zbl 1409.11061
Dubickas, Artūras; Laurinčikas, Antanas
2016
On the number of reducible polynomials of bounded naive height. Zbl 1305.11089
Dubickas, Artūras
2014
Integer parts of powers of rational numbers. Zbl 1084.11009
Dubickas, Artūras; Novikas, Aivaras
2005
Integer parts of powers of Pisot and Salem numbers. Zbl 1004.11059
Dubickas, Artūras
2002
On metric heights. Zbl 1050.11089
Dubickas, A.; Smyth, C. J.
2003
On multiplicative functions which are additive on sums of primes. Zbl 1344.11005
Dubickas, Artūras; Šarka, Paulius
2013
Prime and composite numbers as integer parts of powers. Zbl 1102.11004
Alkauskas, G.; Dubickas, A.
2004
On the maximal product of distances between points on a sphere. Zbl 0890.11023
Dubickas, A.
1996
Fractional parts of powers and Sturmian words. Zbl 1140.11318
Bugeaud, Yann; Dubickas, Artūras
2005
Auxiliary polynomials for some problems regarding Mahler’s measure. Zbl 1074.11018
Dubickas, Artūras; Mossinghoff, Michael J.
2005
Polynomials irreducible by Eisenstein’s criterion. Zbl 1045.11019
Dubickas, Artūras
2003
On the degree of a linear form in conjugates of an algebraic number. Zbl 1028.11066
Dubickas, Arturas
2002
The polynomial Pell equation. Zbl 1077.11020
Dubickas, Artūras; Steuding, Jörn
2004
On the Remak height, the Mahler measure and conjugate sets of algebraic numbers lying on two circles. Zbl 0997.11087
Dubickas, A.; Smyth, C. J.
2001
Three problems for polynomials of small measure. Zbl 0972.11102
Dubickas, Artūras
2001
Variations on the theme of Hilbert’s theorem 90. Zbl 1112.11308
Dubickas, A.; Smyth, C. J.
2002
Counting and testing dominant polynomials. Zbl 1409.11021
Dubickas, Artūras; Sha, Min
2015
On the limit points of the fractional parts of powers of Pisot numbers. Zbl 1164.11026
Dubickas, Artūras
2006
On a conjecture of A. Schinzel and H. Zassenhaus. Zbl 0777.11039
Dubickas, Artūras
1993
On algebraic numbers of small measure. Zbl 0860.11063
Dubickas, A.
1995
Mahler measures close to an integer. Zbl 1086.11049
Dubickas, Artūras
2002
On the order of vanishing at 1 of a polynomial. Zbl 0963.12001
Dubickas, A.
1999
Refinement equations and spline functions. Zbl 1187.41005
Dubickas, Artūras; Xu, Zhiqiang
2010
Nonreciprocal units in a number field with an application to Oeljeklaus-Toma manifolds. Zbl 1290.11148
Dubickas, Artūras
2014
The lonely runner problem for many runners. Zbl 1253.11073
Dubickas, Artūras
2011
On Newman polynomials which divide no Littlewood polynomial. Zbl 1208.11123
Dubickas, Arturas; Jankauskas, Jonas
2009
On the fractional parts of lacunary sequences. Zbl 1140.11038
Dubickas, Artũras
2006
On the lines passing through two conjugates of a Salem number. Zbl 1166.11031
Dubickas, Artūras; Smyth, Chris
2008
On the powers of 3/2 and other rational numbers. Zbl 1144.11053
Dubickas, Artūras
2008
On roots of polynomials with positive coefficients. Zbl 1172.11036
Dubickas, Artūras
2007
On numbers which are Mahler measures. Zbl 1065.11084
Dubickas, Artūras
2004
Counting degenerate polynomials of fixed degree and bounded height. Zbl 1347.11026
Dubickas, Artūras; Sha, Min
2015
Joint discrete universality of Dirichlet $$L$$-functions. Zbl 1316.11077
Dubickas, Artūras; Laurinčikas, Antanas
2015
No two non-real conjugates of a Pisot number have the same imaginary part. Zbl 1361.11062
Dubickas, Artūras; Hare, Kevin G.; Jankauskas, Jonas
2017
Powers of a rational number modulo 1 cannot lie in a small interval. Zbl 1245.11082
Dubickas, Artūras
2009
On a sequence related to that of Thue-Morse and its applications. Zbl 1113.11008
Dubickas, Artūras
2007
On the discriminant of the power of an algebraic number. Zbl 1127.11069
Dubickas, Arturas
2007
A binary linear recurrence sequence of composite numbers. Zbl 1197.11019
Dubickas, Artūras; Novikas, Aivaras; Šiurys, Jonas
2010
The conjugate dimension of algebraic numbers. Zbl 1062.11064
Berry, Neil; Dubickas, Artūras; Elkies, Noam D.; Poonen, Bjorn; Smyth, Chris
2004
On the powers of some transcendental numbers. Zbl 1146.11039
Dubickas, Artūras
2007
On numbers which are differences of two conjugates of an algebraic integer. Zbl 1028.11065
Dubickas, Artūras
2002
The values of Mahler measures. Zbl 1107.11044
Dixon, John D.; Dubickas, Artūras
2004
A lower bound for the quantity $$\| (3/2)^ k\|$$. Zbl 0712.11037
Dubickas, Artūras
1990
Diophantine equations with truncated binomial polynomials. Zbl 1339.11044
Dubickas, Artūras; Kreso, Dijana
2016
Roots of unity as quotients of two roots of a polynomial. Zbl 1321.11110
Dubickas, Artūras
2012
Two exercises concerning the degree of the product of algebraic numbers. Zbl 1220.11131
Dubickas, Artūras
2005
On the limit points of $$(a_n\xi )_{n=1}^\infty$$ mod 1 for slowly increasing integer sequences $$(a_n)_{n=1}^\infty$$. Zbl 1221.11161
Dubickas, Arturas
2009
Positive density of integer polynomials with some prescribed properties. Zbl 1352.11031
Dubickas, Artūras; Sha, Min
2016
A degree problem for two algebraic numbers and their sum. Zbl 1297.11133
Drungilas, Paulius; Dubickas, Artūras; Smyth, Chris
2012
An estimation of the difference between two zeros of a polynomial. Zbl 0770.12003
Dubickas, Artūras
1992
Mahler measures generate the largest possible groups. Zbl 1093.11064
Dubickas, Artūras
2004
On subfields of a field generated by two conjugate algebraic numbers. Zbl 1154.11337
Drungilas, Paulius; Dubickas, Artūras
2004
Additive relations with conjugate algebraic numbers. Zbl 1158.11341
Dubickas, Artūras
2003
Multiplicative dependence of shifted algebraic numbers. Zbl 1041.11067
Drungilas, Paulius; Dubickas, Artūras
2003
The divisors of Newman polynomials. Zbl 1132.11311
Dubickas, Artūras
2003
Additive Hilbert’s theorem 90 in the ring of algebraic integers. Zbl 1112.11050
Dubickas, Artūras
2006
Nonreciprocal algebraic numbers of small measure. Zbl 1127.11070
Dubickas, Artūras
2004
Even and odd integral parts of powers of a real number. Zbl 1138.11026
Dubickas, Arturas
2006
Arithmetical properties of linear recurrent sequences. Zbl 1111.11044
Dubickas, Artūras
2007
There are infinitely many limit points of the fractional parts of powers. Zbl 1092.11041
Dubickas, Artūras
2005
Conjugate algebraic numbers close to a symmetric set. Zbl 1092.11040
Dubickas, A.
2005
On intervals containing full sets of conjugates of algebraic integers. Zbl 0935.11037
Dubickas, Artūras
1999
Polynomials with multiple roots at 1. Zbl 1307.11033
Dubickas, Artūras
2014
On the number of polynomials of bounded measure. Zbl 0926.11080
Dubickas, A.; Konyagin, S. V.
1998
An approximation by lacunary sequence of vectors. Zbl 1221.11164
Dubickas, Artūras
2008
Salem numbers as Mahler measures of nonreciprocal units. Zbl 1356.11075
Dubickas, Artūras
2016
On the degree of compositum of two number fields. Zbl 1277.11097
Drungilas, Paulius; Dubickas, Artūras; Luca, Florian
2013
On the Hurwitz zeta functions with algebraic irrational parameter. Zbl 1428.11153
Balčiūnas, Aidas; Dubickas, Arturas; Laurinčikas, Antanas
2019
Counting integer reducible polynomials with bounded measure. Zbl 1456.11205
Dubickas, Artūras
2016
Length of the sum and product of algebraic numbers. Zbl 1085.11051
Dubickas, A.; Smyth, C. J.
2005
Explicit form of Cassels’ $$p$$-adic embedding theorem for number fields. Zbl 1326.11062
Dubickas, Arturas; Sha, Min; Shparlinski, Igor
2015
The Lehmer constants of an annulus. Zbl 1030.11057
Dubickas, Artūras; Smyth, Chris J.
2001
Distribution of some quadratic linear recurrence sequences modulo 1. Zbl 1324.11048
Dubickas, Arturas
2014
Multiplicative dependence of the translations of algebraic numbers. Zbl 1423.11166
Dubickas, Artūras; Sha, Min
2018
Simple linear relations between conjugate algebraic numbers of low degree. Zbl 1425.11169
Dubickas, Arturas; Jankauskas, Jonas
2015
Zeros of the Estermann zeta function. Zbl 1291.11122
Dubickas, A.; Garunkštis, R.; Steuding, J.; Steuding, R.
2013
Roots of polynomials of bounded height. Zbl 1186.12001
Drungilas, Paulius; Dubickas, Artūras
2009
On the average difference between two conjugates of an algebraic number. Zbl 0862.11058
Dubickas, Artūras
1995
Good points for Diophantine approximation. Zbl 1234.11095
Berend, Daniel; Dubickas, Artūras
2009
Sumsets of Pisot and Salem numbers. Zbl 1204.11167
Dubickas, Artūras
2008
A note on powers of Pisot numbers. Zbl 0999.11035
Dubickas, A.
2000
On the measure of a nonreciprocal algebraic number. Zbl 0962.11033
Dubickas, Artūras
2000
Multiplicative dependence of quadratic polynomials. Zbl 0938.11013
Dubickas, A.
1998
Heights of powers of Newman and Littlewood polynomials. Zbl 1172.11007
Dubickas, Artūras
2007
On a certain geometric mean of the values of a polynomial. Zbl 0990.11062
Dubickas, A.
2000
On the fractional parts of rational powers. Zbl 1228.11104
Dubickas, Artūras
2009
On the supremum of the representation function of a sumset. Zbl 1357.11014
Dubickas, Artūras
2014
A basis of finite and infinite sets with small representation function. Zbl 1288.11012
Dubickas, Artūras
2012
On the location of roots of non-reciprocal integer polynomials. Zbl 1258.11051
Dubickas, Artūras
2011
On the approximation of the Thue-Morse generating sequence. Zbl 1389.11104
Dubickas, Artūras
2014
On the approximation of $$\pi/\sqrt{3}$$ by rational fractions. Zbl 0635.10026
Dubickas, Artūras
1987
On the distribution of roots of polynomials in sectors. I. Zbl 0920.12001
Dubickas, A.
1998
On algebraic numbers close to 1. Zbl 0927.11050
Dubickas, Artūras
1998
An estimate for a linear form in algebraic numbers. Zbl 0786.11038
Dubickas, Artūras
1991
Polynomial root separation in terms of the Remak height. Zbl 1275.11053
Dubickas, Artūras
2013
Sums of primes and quadratic linear recurrence sequences. Zbl 1288.11095
Dubickas, Artūras
2013
On the distance between two algebraic numbers. Zbl 1470.11045
Dubickas, Artūras
2020
Reducibility of polynomials after a polynomial substitution. Zbl 1449.12001
Drungilas, Paulius; Dubickas, Arturas
2020
Extremal problems for polynomials with real roots. Zbl 1431.12001
Dubickas, Artūras; Pritsker, Igor
2020
On the Hurwitz zeta functions with algebraic irrational parameter. Zbl 1428.11153
Balčiūnas, Aidas; Dubickas, Arturas; Laurinčikas, Antanas
2019
Multiplicative dependence of the translations of algebraic numbers. Zbl 1423.11166
Dubickas, Artūras; Sha, Min
2018
The distance to square-free polynomials. Zbl 1441.11053
Dubickas, Artūras; Sha, Min
2018
No two non-real conjugates of a Pisot number have the same imaginary part. Zbl 1361.11062
Dubickas, Artūras; Hare, Kevin G.; Jankauskas, Jonas
2017
On distances in lattices from algebraic number fields. Zbl 1433.11083
Dubickas, Artūras; Sha, Min; Shparlinski, Igor E.
2017
On rational approximations to two irrational numbers. Zbl 1428.11129
Dubickas, Artūras
2017
Roots of unity as quotients of two conjugate algebraic numbers. Zbl 1432.11154
Dubickas, Artūras
2017
Distribution modulo 1 and the discrete universality of the Riemann zeta-function. Zbl 1409.11061
Dubickas, Artūras; Laurinčikas, Antanas
2016
Diophantine equations with truncated binomial polynomials. Zbl 1339.11044
Dubickas, Artūras; Kreso, Dijana
2016
Positive density of integer polynomials with some prescribed properties. Zbl 1352.11031
Dubickas, Artūras; Sha, Min
2016
Salem numbers as Mahler measures of nonreciprocal units. Zbl 1356.11075
Dubickas, Artūras
2016
Counting integer reducible polynomials with bounded measure. Zbl 1456.11205
Dubickas, Artūras
2016
On degrees of three algebraic numbers with zero sum or unit product. Zbl 1409.11084
Drungilas, Paulius; Dubickas, Artūras
2016
There are only finitely many distance-regular graphs of fixed valency greater than two. Zbl 1303.05044
Bang, S.; Dubickas, A.; Koolen, J. H.; Moulton, V.
2015
Counting and testing dominant polynomials. Zbl 1409.11021
Dubickas, Artūras; Sha, Min
2015
Counting degenerate polynomials of fixed degree and bounded height. Zbl 1347.11026
Dubickas, Artūras; Sha, Min
2015
Joint discrete universality of Dirichlet $$L$$-functions. Zbl 1316.11077
Dubickas, Artūras; Laurinčikas, Antanas
2015
Explicit form of Cassels’ $$p$$-adic embedding theorem for number fields. Zbl 1326.11062
Dubickas, Arturas; Sha, Min; Shparlinski, Igor
2015
Simple linear relations between conjugate algebraic numbers of low degree. Zbl 1425.11169
Dubickas, Arturas; Jankauskas, Jonas
2015
On the number of reducible polynomials of bounded naive height. Zbl 1305.11089
Dubickas, Artūras
2014
Nonreciprocal units in a number field with an application to Oeljeklaus-Toma manifolds. Zbl 1290.11148
Dubickas, Artūras
2014
Polynomials with multiple roots at 1. Zbl 1307.11033
Dubickas, Artūras
2014
Distribution of some quadratic linear recurrence sequences modulo 1. Zbl 1324.11048
Dubickas, Arturas
2014
On the supremum of the representation function of a sumset. Zbl 1357.11014
Dubickas, Artūras
2014
On the approximation of the Thue-Morse generating sequence. Zbl 1389.11104
Dubickas, Artūras
2014
Linear recurrence sequences without zeros. Zbl 1349.11017
Dubickas, Artūras; Novikas, Aivaras
2014
On the fractional parts of powers of Pisot numbers of length at most 4. Zbl 1385.11064
Dubickas, Artūras; Jankauskas, Jonas
2014
On multiplicative functions which are additive on sums of primes. Zbl 1344.11005
Dubickas, Artūras; Šarka, Paulius
2013
On the degree of compositum of two number fields. Zbl 1277.11097
Drungilas, Paulius; Dubickas, Artūras; Luca, Florian
2013
Zeros of the Estermann zeta function. Zbl 1291.11122
Dubickas, A.; Garunkštis, R.; Steuding, J.; Steuding, R.
2013
Polynomial root separation in terms of the Remak height. Zbl 1275.11053
Dubickas, Artūras
2013
Sums of primes and quadratic linear recurrence sequences. Zbl 1288.11095
Dubickas, Artūras
2013
Nonreciprocal algebraic numbers of small Mahler’s measure. Zbl 1284.11137
Dubickas, Artūras; Jankauskas, Jonas
2013
Roots of unity as quotients of two roots of a polynomial. Zbl 1321.11110
Dubickas, Artūras
2012
A degree problem for two algebraic numbers and their sum. Zbl 1297.11133
Drungilas, Paulius; Dubickas, Artūras; Smyth, Chris
2012
A basis of finite and infinite sets with small representation function. Zbl 1288.11012
Dubickas, Artūras
2012
On the linear independence of the set of Dirichlet exponents. Zbl 1282.11112
Dubickas, Artūras
2012
The lonely runner problem for many runners. Zbl 1253.11073
Dubickas, Artūras
2011
On the location of roots of non-reciprocal integer polynomials. Zbl 1258.11051
Dubickas, Artūras
2011
Polynomials expressible by sums of monic integer irreducible polynomials. Zbl 1224.11045
Dubickas, Arturas
2011
Roots of polynomials with dominant term. Zbl 1225.11132
Dubickas, Artūras
2011
On $$\beta$$-expansions of unity for rational and transcendental numbers $$\beta$$. Zbl 1274.11023
Dubickas, Artūras
2011
Refinement equations and spline functions. Zbl 1187.41005
Dubickas, Artūras; Xu, Zhiqiang
2010
A binary linear recurrence sequence of composite numbers. Zbl 1197.11019
Dubickas, Artūras; Novikas, Aivaras; Šiurys, Jonas
2010
On the distribution of powers of a complex number. Zbl 1227.11083
Dubickas, Artūras
2010
On the intersection of infinite geometric and arithmetic progressions. Zbl 1257.11011
Dubickas, Artūras; Jankauskas, Jonas
2010
Powers of rational numbers modulo 1 lying in short intervals. Zbl 1205.11085
Dubickas, Artūras
2010
Rational difference equations with positive equilibrium point. Zbl 1193.39003
Dubickas, Artūras
2010
On Newman polynomials which divide no Littlewood polynomial. Zbl 1208.11123
Dubickas, Arturas; Jankauskas, Jonas
2009
Powers of a rational number modulo 1 cannot lie in a small interval. Zbl 1245.11082
Dubickas, Artūras
2009
On the limit points of $$(a_n\xi )_{n=1}^\infty$$ mod 1 for slowly increasing integer sequences $$(a_n)_{n=1}^\infty$$. Zbl 1221.11161
Dubickas, Arturas
2009
Roots of polynomials of bounded height. Zbl 1186.12001
Drungilas, Paulius; Dubickas, Artūras
2009
Good points for Diophantine approximation. Zbl 1234.11095
Berend, Daniel; Dubickas, Artūras
2009
On the fractional parts of rational powers. Zbl 1228.11104
Dubickas, Artūras
2009
The maximal value of polynomials with restricted coefficients. Zbl 1172.30002
Dubickas, Artūras; Jankauskas, Jonas
2009
On integer sequences generated by linear maps. Zbl 1196.11034
Dubickas, Artūras
2009
Squares and cubes in Sturmian sequences. Zbl 1176.68150
Dubickas, Artūras
2009
Prime and composite integers close to powers of a number. Zbl 1210.11080
Dubickas, Artūras
2009
On the lines passing through two conjugates of a Salem number. Zbl 1166.11031
Dubickas, Artūras; Smyth, Chris
2008
On the powers of 3/2 and other rational numbers. Zbl 1144.11053
Dubickas, Artūras
2008
An approximation by lacunary sequence of vectors. Zbl 1221.11164
Dubickas, Artūras
2008
Sumsets of Pisot and Salem numbers. Zbl 1204.11167
Dubickas, Artūras
2008
An inequality for the multiplicity of the roots of a polynomial. Zbl 1266.11054
Dubickas, Artūras
2008
Partitions of positive integers into sets without infinite progressions. Zbl 1140.05008
Dubickas, Artūras
2008
An estimate for the probability of dependent events. Zbl 1153.60004
Dubickas, Artūras
2008
On a problem of Mahler and Szekeres on approximation by roots of integers. Zbl 1172.11023
Bugeaud, Yann; Dubickas, Artūras
2008
On roots of polynomials with positive coefficients. Zbl 1172.11036
Dubickas, Artūras
2007
On a sequence related to that of Thue-Morse and its applications. Zbl 1113.11008
Dubickas, Artūras
2007
On the discriminant of the power of an algebraic number. Zbl 1127.11069
Dubickas, Arturas
2007
On the powers of some transcendental numbers. Zbl 1146.11039
Dubickas, Artūras
2007
Arithmetical properties of linear recurrent sequences. Zbl 1111.11044
Dubickas, Artūras
2007
Heights of powers of Newman and Littlewood polynomials. Zbl 1172.11007
Dubickas, Artūras
2007
On the reduced height of a polynomial. Zbl 1135.12300
Dubickas, Arturas; Jankauskas, Jonas
2007
Arithmetical properties of powers of algebraic numbers. Zbl 1164.11025
Dubickas, Artūras
2006
On the distance from a rational power to the nearest integer. Zbl 1097.11035
Dubickas, Artūras
2006
On the limit points of the fractional parts of powers of Pisot numbers. Zbl 1164.11026
Dubickas, Artūras
2006
On the fractional parts of lacunary sequences. Zbl 1140.11038
Dubickas, Artũras
2006
Additive Hilbert’s theorem 90 in the ring of algebraic integers. Zbl 1112.11050
Dubickas, Artūras
2006
Even and odd integral parts of powers of a real number. Zbl 1138.11026
Dubickas, Arturas
2006
On the fractional parts of the natural powers of a fixed number. Zbl 1150.11025
Dubickas, Arturas
2006
Mahler measures in a cubic field. Zbl 1164.11068
Dubickas, Artūras
2006
Integer parts of powers of rational numbers. Zbl 1084.11009
Dubickas, Artūras; Novikas, Aivaras
2005
Fractional parts of powers and Sturmian words. Zbl 1140.11318
Bugeaud, Yann; Dubickas, Artūras
2005
Auxiliary polynomials for some problems regarding Mahler’s measure. Zbl 1074.11018
Dubickas, Artūras; Mossinghoff, Michael J.
2005
Two exercises concerning the degree of the product of algebraic numbers. Zbl 1220.11131
Dubickas, Artūras
2005
There are infinitely many limit points of the fractional parts of powers. Zbl 1092.11041
Dubickas, Artūras
2005
Conjugate algebraic numbers close to a symmetric set. Zbl 1092.11040
Dubickas, A.
2005
Length of the sum and product of algebraic numbers. Zbl 1085.11051
Dubickas, A.; Smyth, C. J.
2005
Prime and composite numbers as integer parts of powers. Zbl 1102.11004
Alkauskas, G.; Dubickas, A.
2004
The polynomial Pell equation. Zbl 1077.11020
Dubickas, Artūras; Steuding, Jörn
2004
On numbers which are Mahler measures. Zbl 1065.11084
Dubickas, Artūras
2004
The conjugate dimension of algebraic numbers. Zbl 1062.11064
Berry, Neil; Dubickas, Artūras; Elkies, Noam D.; Poonen, Bjorn; Smyth, Chris
2004
The values of Mahler measures. Zbl 1107.11044
Dixon, John D.; Dubickas, Artūras
2004
Mahler measures generate the largest possible groups. Zbl 1093.11064
Dubickas, Artūras
2004
On subfields of a field generated by two conjugate algebraic numbers. Zbl 1154.11337
Drungilas, Paulius; Dubickas, Artūras
2004
Nonreciprocal algebraic numbers of small measure. Zbl 1127.11070
Dubickas, Artūras
2004
Large integer polynomials in several variables. Zbl 1167.11303
Dubickas, A.
2004
...and 42 more Documents
all top 5

#### Cited by 271 Authors

 87 Dubickas, Artūras 16 Laurinčikas, Antanas 11 Jankauskas, Jonas 11 Samuels, Charles L. 10 Zaïmi, Toufik Mostepha 8 Drungilas, Paulius 8 Koolen, Jack H. 8 Macaitienė, Renata 8 Sha, Min 7 Bugeaud, Yann 6 Park, Poo-Sung 6 Šiaučiūnas, Darius 5 Beltrán, Carlos 5 Fili, Paul A. 5 Luca, Florian 5 Mossinghoff, Michael J. 5 Shparlinski, Igor E. 5 Šiurys, Jonas 4 Hare, Kevin G. 4 Kaliada, Dzianis 4 Kapica, Rafał 4 Morawiec, Janusz 4 Novikas, Aivaras 4 Smyth, Christopher J. 4 Zhuravleva, Victoria V. 3 Akiyama, Shigeki 3 Bang, Sejeong 3 Bonciocat, Nicolae Ciprian 3 Brunotte, Horst 3 Cox, Ben Lewis 3 Erdélyi, Tamás 3 Etayo, Ujué 3 Pottmeyer, Lukas 3 Pritsker, Igor E. 3 Zaharescu, Alexandru 2 Aistleitner, Christoph 2 Bonciocat, Anca Iuliana 2 Chen, Yonggao 2 Chow, Sam 2 Garunkštis, Ramūnas 2 Hajdu, Lajos 2 Hata, Masayoshi 2 Heyman, Randell 2 Ishak, M. I. M. 2 Kaneko, Hajime 2 Kim, Byungchan 2 Kim, Ji Young 2 Kopra, Johan 2 Kreso, Dijana 2 Lee, Chong Gyu 2 Liao, Lingmin 2 Louboutin, Stéphane R. 2 McGown, Kevin J. 2 Micheli, Giacomo 2 Mignotte, Maurice 2 Miner, Zachary 2 Mišík, Ladislav jun. 2 Moshchevitin, Nikolay G. 2 Ostafe, Alina 2 Otiman, Alexandra 2 Park, Jongyook 2 Pethő, Attila 2 Pinner, Christopher G. 2 Qiao, Zhi 2 Rhin, Georges 2 Saff, Edward Barry 2 Schinzel, Andrzej 2 Strauch, Oto 2 Van Dam, Edwin Robert 2 Wiles, Benjamin 2 Wu, Qiang 2 Zannier, Umberto M. 2 Zhao, Kaiming 1 Adam, Marcin 1 Allouche, Jean-Paul Simon 1 Amoroso, Francesco Antonio 1 Andrada, Adrián 1 Angella, Daniele 1 Bašić, Bojan 1 Bazsó, András 1 Beck, Matthias 1 Bennett, Michael A. 1 Bérczes, Attila 1 Berenhaut, Kenneth S. 1 Bertók, Csanád 1 Bi, Ning 1 Blau, Harvey I. 1 Bräunling, Oliver 1 Browkin, Jerzy 1 Cafure, Antonio 1 Cámara, Marc 1 Cao, Mengyue 1 Carpenter, Ryan 1 Cesaratto, Eda 1 Chand, Arya Kumar Bedabrata 1 Chang, Sungkon 1 Chew, Jackel Vui Ling 1 Choi, Jongwoo 1 Choi, Kwok-Kwong Stephen 1 Coons, Michael ...and 171 more Authors
all top 5

#### Cited in 127 Serials

 23 Journal of Number Theory 17 Lithuanian Mathematical Journal 13 International Journal of Number Theory 11 Journal de Théorie des Nombres de Bordeaux 9 Mathematics of Computation 8 Monatshefte für Mathematik 7 Bulletin of the Australian Mathematical Society 6 Mathematical Notes 6 Periodica Mathematica Hungarica 5 Acta Arithmetica 5 Acta Mathematica Hungarica 5 Indagationes Mathematicae. New Series 4 Israel Journal of Mathematics 4 Archiv der Mathematik 4 Functiones et Approximatio. Commentarii Mathematici 4 Mathematische Zeitschrift 4 Proceedings of the American Mathematical Society 4 Applicable Algebra in Engineering, Communication and Computing 4 St. Petersburg Mathematical Journal 4 The Ramanujan Journal 4 Integers 4 Chebyshevskiĭ Sbornik 3 Discrete Mathematics 3 Journal of Mathematical Analysis and Applications 3 Rocky Mountain Journal of Mathematics 3 Advances in Mathematics 3 Illinois Journal of Mathematics 3 Journal of Combinatorial Theory. Series B 3 Mathematika 3 Results in Mathematics 3 Transactions of the American Mathematical Society 3 European Journal of Combinatorics 3 Graphs and Combinatorics 3 Aequationes Mathematicae 3 Linear Algebra and its Applications 3 Acta Mathematica Sinica. English Series 3 Proceedings of the Steklov Institute of Mathematics 2 American Mathematical Monthly 2 Communications in Algebra 2 Annales de l’Institut Fourier 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Applied Mathematics and Computation 2 Czechoslovak Mathematical Journal 2 Glasgow Mathematical Journal 2 Manuscripta Mathematica 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Proceedings of the Japan Academy. Series A 2 Siberian Mathematical Journal 2 Theoretical Computer Science 2 Ergodic Theory and Dynamical Systems 2 Bulletin of the Korean Mathematical Society 2 Revista Matemática Iberoamericana 2 Journal of the Ramanujan Mathematical Society 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Tatra Mountains Mathematical Publications 2 Journal of Mathematical Sciences (New York) 2 The Electronic Journal of Combinatorics 2 Journal of Integer Sequences 2 LMS Journal of Computation and Mathematics 2 RAIRO. Theoretical Informatics and Applications 2 Journal of the Australian Mathematical Society 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Acta Mathematica Universitatis Ostraviensis 2 Ars Mathematica Contemporanea 2 Research in Number Theory 2 Journal of Applied Mathematics and Computational Mechanics 1 Archive for Rational Mechanics and Analysis 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Russian Mathematical Surveys 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Chaos, Solitons and Fractals 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Canadian Mathematical Bulletin 1 Colloquium Mathematicum 1 Integral Equations and Operator Theory 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Mathematische Nachrichten 1 Michigan Mathematical Journal 1 Quaestiones Mathematicae 1 Rendiconti del Seminario Matematico della Università di Padova 1 Advances in Applied Mathematics 1 Statistics & Probability Letters 1 Journal of Complexity 1 Constructive Approximation 1 Journal of the American Mathematical Society 1 Publicacions Matemàtiques 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Glasnik Matematički. Serija III 1 Expositiones Mathematicae 1 Potential Analysis 1 Combinatorics, Probability and Computing 1 The New York Journal of Mathematics 1 Advances in Computational Mathematics 1 Integral Transforms and Special Functions 1 Journal of Difference Equations and Applications ...and 27 more Serials
all top 5

#### Cited in 42 Fields

 269 Number theory (11-XX) 37 Field theory and polynomials (12-XX) 24 Combinatorics (05-XX) 23 Functions of a complex variable (30-XX) 16 Computer science (68-XX) 12 Dynamical systems and ergodic theory (37-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 8 Group theory and generalizations (20-XX) 8 Real functions (26-XX) 8 Probability theory and stochastic processes (60-XX) 7 Difference and functional equations (39-XX) 7 Approximations and expansions (41-XX) 6 Potential theory (31-XX) 6 Numerical analysis (65-XX) 5 Algebraic geometry (14-XX) 4 Measure and integration (28-XX) 4 Differential geometry (53-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Nonassociative rings and algebras (17-XX) 3 Convex and discrete geometry (52-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 General topology (54-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)

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