Edit Profile (opens in new tab) Dubickas, Artūras Compute Distance To: Compute Author ID: dubickas.arturas Published as: Dubickas, Artūras; Dubickas, A.; Dubickas, Arturas; Dubickas, Artũras more...less External Links: Wikidata Documents Indexed: 233 Publications since 1986 3 Contributions as Editor Reviewing Activity: 259 Reviews Co-Authors: 40 Co-Authors with 76 Joint Publications 1,336 Co-Co-Authors all top 5 Co-Authors 160 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 Jonuška, Lukas 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 all top 5 Serials 21 Lithuanian Mathematical Journal 13 Acta Arithmetica 9 Journal of Number Theory 5 Archiv der Mathematik 5 International Journal of Number Theory 4 Bulletin of the Australian Mathematical Society 4 Mathematical Notes 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 Debrecen 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 Mathematica Slovaca 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 The Ramanujan Journal 2 Mathematical Inequalities & Applications 2 Nonlinear Analysis. Modelling and Control 2 Journal of the Australian Mathematical Society 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 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 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 Electronic Journal of Qualitative Theory of Differential Equations 1 Journal of Integer Sequences ...and 18 more Serials all top 5 Fields 218 Number theory (11-XX) 51 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 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 Approximations and expansions (41-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 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 147 Publications have been cited 577 times in 349 Documents Cited by ▼ Year ▼ Arithmetical properties of powers of algebraic numbers. Zbl 1164.11025Dubickas, Artūras 30 2006 There are only finitely many distance-regular graphs of fixed valency greater than two. Zbl 1303.05044Bang, S.; Dubickas, A.; Koolen, J. H.; Moulton, V. 18 2015 On the distance from a rational power to the nearest integer. Zbl 1097.11035Dubickas, Artūras 18 2006 Distribution modulo 1 and the discrete universality of the Riemann zeta-function. Zbl 1409.11061Dubickas, Artūras; Laurinčikas, Antanas 16 2016 On the metric Mahler measure. Zbl 1030.11056Dubickas, A.; Smyth, C. J. 15 2001 On the number of reducible polynomials of bounded naive height. Zbl 1305.11089Dubickas, Artūras 12 2014 Integer parts of powers of rational numbers. Zbl 1084.11009Dubickas, Artūras; Novikas, Aivaras 12 2005 Integer parts of powers of Pisot and Salem numbers. Zbl 1004.11059Dubickas, Artūras 11 2002 On metric heights. Zbl 1050.11089Dubickas, A.; Smyth, C. J. 10 2003 On the Remak height, the Mahler measure and conjugate sets of algebraic numbers lying on two circles. Zbl 0997.11087Dubickas, A.; Smyth, C. J. 9 2001 On the maximal product of distances between points on a sphere. Zbl 0890.11023Dubickas, A. 9 1996 Prime and composite numbers as integer parts of powers. Zbl 1102.11004Alkauskas, G.; Dubickas, A. 9 2004 Fractional parts of powers and Sturmian words. Zbl 1140.11318Bugeaud, Yann; Dubickas, Artūras 9 2005 On multiplicative functions which are additive on sums of primes. Zbl 1344.11005Dubickas, Artūras; Šarka, Paulius 9 2013 On the degree of a linear form in conjugates of an algebraic number. Zbl 1028.11066Dubickas, Arturas 8 2002 Polynomials irreducible by Eisenstein’s criterion. Zbl 1045.11019Dubickas, Artūras 8 2003 Auxiliary polynomials for some problems regarding Mahler’s measure. Zbl 1074.11018Dubickas, Artūras; Mossinghoff, Michael J. 8 2005 The polynomial Pell equation. Zbl 1077.11020Dubickas, Artūras; Steuding, Jörn 8 2004 Mahler measures close to an integer. Zbl 1086.11049Dubickas, Artūras 7 2002 Counting and testing dominant polynomials. Zbl 1409.11021Dubickas, Artūras; Sha, Min 7 2015 Three problems for polynomials of small measure. Zbl 0972.11102Dubickas, Artūras 7 2001 Variations on the theme of Hilbert’s theorem 90. Zbl 1112.11308Dubickas, A.; Smyth, C. J. 7 2002 On the limit points of the fractional parts of powers of Pisot numbers. Zbl 1164.11026Dubickas, Artūras 7 2006 On a conjecture of A. Schinzel and H. Zassenhaus. Zbl 0777.11039Dubickas, Artūras 6 1993 On Newman polynomials which divide no Littlewood polynomial. Zbl 1208.11123Dubickas, Arturas; Jankauskas, Jonas 6 2009 On the order of vanishing at 1 of a polynomial. Zbl 0963.12001Dubickas, A. 6 1999 On algebraic numbers of small measure. Zbl 0860.11063Dubickas, A. 6 1995 On the powers of some transcendental numbers. Zbl 1146.11039Dubickas, Artūras 6 2007 On the powers of 3/2 and other rational numbers. Zbl 1144.11053Dubickas, Artūras 6 2008 Refinement equations and spline functions. Zbl 1187.41005Dubickas, Artūras; Xu, Zhiqiang 6 2010 Nonreciprocal units in a number field with an application to Oeljeklaus-Toma manifolds. Zbl 1290.11148Dubickas, Artūras 6 2014 Joint discrete universality of Dirichlet \(L\)-functions. Zbl 1316.11077Dubickas, Artūras; Laurinčikas, Antanas 6 2015 A binary linear recurrence sequence of composite numbers. Zbl 1197.11019Dubickas, Artūras; Novikas, Aivaras; Šiurys, Jonas 5 2010 Counting degenerate polynomials of fixed degree and bounded height. Zbl 1347.11026Dubickas, Artūras; Sha, Min 5 2015 On numbers which are Mahler measures. Zbl 1065.11084Dubickas, Artūras 5 2004 The conjugate dimension of algebraic numbers. Zbl 1062.11064Berry, Neil; Dubickas, Artūras; Elkies, Noam D.; Poonen, Bjorn; Smyth, Chris 5 2004 On roots of polynomials with positive coefficients. Zbl 1172.11036Dubickas, Artūras 5 2007 The lonely runner problem for many runners. Zbl 1253.11073Dubickas, Artūras 5 2011 On the fractional parts of lacunary sequences. Zbl 1140.11038Dubickas, Artũras 5 2006 On the lines passing through two conjugates of a Salem number. Zbl 1166.11031Dubickas, Artūras; Smyth, Chris 5 2008 On the discriminant of the power of an algebraic number. Zbl 1127.11069Dubickas, Arturas 4 2007 On a sequence related to that of Thue-Morse and its applications. Zbl 1113.11008Dubickas, Artūras 4 2007 On numbers which are differences of two conjugates of an algebraic integer. Zbl 1028.11065Dubickas, Artūras 4 2002 Salem numbers as Mahler measures of nonreciprocal units. Zbl 1356.11075Dubickas, Artūras 4 2016 Diophantine equations with truncated binomial polynomials. Zbl 1339.11044Dubickas, Artūras; Kreso, Dijana 4 2016 No two non-real conjugates of a Pisot number have the same imaginary part. Zbl 1361.11062Dubickas, Artūras; Hare, Kevin G.; Jankauskas, Jonas 4 2017 A lower bound for the quantity \(\| (3/2)^ k\|\). Zbl 0712.11037Dubickas, Artūras 4 1990 Additive relations with conjugate algebraic numbers. Zbl 1158.11341Dubickas, Artūras 4 2003 Additive Hilbert’s theorem 90 in the ring of algebraic integers. Zbl 1112.11050Dubickas, Artūras 4 2006 Two exercises concerning the degree of the product of algebraic numbers. Zbl 1220.11131Dubickas, Artūras 4 2005 Roots of unity as quotients of two roots of a polynomial. Zbl 1321.11110Dubickas, Artūras 4 2012 The values of Mahler measures. Zbl 1107.11044Dixon, John D.; Dubickas, Artūras 4 2004 On the limit points of \((a_n\xi )_{n=1}^\infty\) mod 1 for slowly increasing integer sequences \((a_n)_{n=1}^\infty\). Zbl 1221.11161Dubickas, Arturas 4 2009 Powers of a rational number modulo 1 cannot lie in a small interval. Zbl 1245.11082Dubickas, Artūras 4 2009 On the Hurwitz zeta functions with algebraic irrational parameter. Zbl 1428.11153Balčiūnas, Aidas; Dubickas, Arturas; Laurinčikas, Antanas 4 2019 An estimation of the difference between two zeros of a polynomial. Zbl 0770.12003Dubickas, Artūras 3 1992 On intervals containing full sets of conjugates of algebraic integers. Zbl 0935.11037Dubickas, Artūras 3 1999 Positive density of integer polynomials with some prescribed properties. Zbl 1352.11031Dubickas, Artūras; Sha, Min 3 2016 A degree problem for two algebraic numbers and their sum. Zbl 1297.11133Drungilas, Paulius; Dubickas, Artūras; Smyth, Chris 3 2012 There are infinitely many limit points of the fractional parts of powers. Zbl 1092.11041Dubickas, Artūras 3 2005 Conjugate algebraic numbers close to a symmetric set. Zbl 1092.11040Dubickas, A. 3 2005 On the measure of a nonreciprocal algebraic number. Zbl 0962.11033Dubickas, Artūras 3 2000 Multiplicative dependence of shifted algebraic numbers. Zbl 1041.11067Drungilas, Paulius; Dubickas, Artūras 3 2003 Mahler measures generate the largest possible groups. Zbl 1093.11064Dubickas, Artūras 3 2004 On subfields of a field generated by two conjugate algebraic numbers. Zbl 1154.11337Drungilas, Paulius; Dubickas, Artūras 3 2004 Nonreciprocal algebraic numbers of small measure. Zbl 1127.11070Dubickas, Artūras 3 2004 Even and odd integral parts of powers of a real number. Zbl 1138.11026Dubickas, Arturas 3 2006 Arithmetical properties of linear recurrent sequences. Zbl 1111.11044Dubickas, Artūras 3 2007 On the degree of compositum of two number fields. Zbl 1277.11097Drungilas, Paulius; Dubickas, Artūras; Luca, Florian 3 2013 The divisors of Newman polynomials. Zbl 1132.11311Dubickas, Artūras 3 2003 On the number of polynomials of bounded measure. Zbl 0926.11080Dubickas, A.; Konyagin, S. V. 3 1998 On the distance between two algebraic numbers. Zbl 1470.11045Dubickas, Artūras 3 2020 An approximation by lacunary sequence of vectors. Zbl 1221.11164Dubickas, Artūras 3 2008 Multiplicative dependence of the translations of algebraic numbers. Zbl 1423.11166Dubickas, Artūras; Sha, Min 3 2018 Polynomials with multiple roots at 1. Zbl 1307.11033Dubickas, Artūras 3 2014 Linear recurrence sequences without zeros. Zbl 1349.11017Dubickas, Artūras; Novikas, Aivaras 3 2014 Counting integer reducible polynomials with bounded measure. Zbl 1456.11205Dubickas, Artūras 3 2016 On the approximation of \(\pi/\sqrt{3}\) by rational fractions. Zbl 0635.10026Dubickas, Artūras 2 1987 The Lehmer constants of an annulus. Zbl 1030.11057Dubickas, Artūras; Smyth, Chris J. 2 2001 A note on powers of Pisot numbers. Zbl 0999.11035Dubickas, A. 2 2000 The maximal conjugate of a non-reciprocal algebraic integer. Zbl 0890.11030Dubickas, A. 2 1997 On the fractional parts of rational powers. Zbl 1228.11104Dubickas, Artūras 2 2009 Roots of unity as quotients of two conjugate algebraic numbers. Zbl 1432.11154Dubickas, Artūras 2 2017 Explicit form of Cassels’ \(p\)-adic embedding theorem for number fields. Zbl 1326.11062Dubickas, Arturas; Sha, Min; Shparlinski, Igor 2 2015 On the approximation of the Thue-Morse generating sequence. Zbl 1389.11104Dubickas, Artūras 2 2014 The distance to square-free polynomials. Zbl 1441.11053Dubickas, Artūras; Sha, Min 2 2018 On degrees of three algebraic numbers with zero sum or unit product. Zbl 1409.11084Drungilas, Paulius; Dubickas, Artūras 2 2016 On the supremum of the representation function of a sumset. Zbl 1357.11014Dubickas, Artūras 2 2014 On a certain geometric mean of the values of a polynomial. Zbl 0990.11062Dubickas, A. 2 2000 An estimate for a linear form in algebraic numbers. Zbl 0786.11038Dubickas, Artūras 2 1991 On the average difference between two conjugates of an algebraic number. Zbl 0862.11058Dubickas, Artūras 2 1995 Heights of powers of Newman and Littlewood polynomials. Zbl 1172.11007Dubickas, Artūras 2 2007 Sumsets of Pisot and Salem numbers. Zbl 1204.11167Dubickas, Artūras 2 2008 Length of the sum and product of algebraic numbers. Zbl 1085.11051Dubickas, A.; Smyth, C. J. 2 2005 Zeros of the Estermann zeta function. Zbl 1291.11122Dubickas, A.; Garunkštis, R.; Steuding, J.; Steuding, R. 2 2013 Good points for Diophantine approximation. Zbl 1234.11095Berend, Daniel; Dubickas, Artūras 2 2009 On the distribution of roots of polynomials in sectors. I. Zbl 0920.12001Dubickas, A. 2 1998 On algebraic numbers close to 1. Zbl 0927.11050Dubickas, Artūras 2 1998 Multiplicative dependence of quadratic polynomials. Zbl 0938.11013Dubickas, A. 2 1998 An inequality for the multiplicity of the roots of a polynomial. Zbl 1266.11054Dubickas, Artūras 2 2008 Transcendency of some constants related to integer sequences of polynomial iterations. Zbl 1485.11110Dubickas, Artūras 1 2022 Graphs with diameter 2 and large total domination number. Zbl 1459.05236Dubickas, Artūras 1 2021 On the distance between two algebraic numbers. Zbl 1470.11045Dubickas, Artūras 3 2020 Recurrence with prescribed number of residues. Zbl 1473.11039Dubickas, Artūras; Novikas, Aivaras 1 2020 Reducibility of polynomials after a polynomial substitution. Zbl 1449.12001Drungilas, Paulius; Dubickas, Arturas 1 2020 Extremal problems for polynomials with real roots. Zbl 1431.12001Dubickas, Artūras; Pritsker, Igor 1 2020 On the Hurwitz zeta functions with algebraic irrational parameter. Zbl 1428.11153Balčiūnas, Aidas; Dubickas, Arturas; Laurinčikas, Antanas 4 2019 Multiplicative dependence of the translations of algebraic numbers. Zbl 1423.11166Dubickas, Artūras; Sha, Min 3 2018 The distance to square-free polynomials. Zbl 1441.11053Dubickas, Artūras; Sha, Min 2 2018 No two non-real conjugates of a Pisot number have the same imaginary part. Zbl 1361.11062Dubickas, Artūras; Hare, Kevin G.; Jankauskas, Jonas 4 2017 Roots of unity as quotients of two conjugate algebraic numbers. Zbl 1432.11154Dubickas, Artūras 2 2017 On distances in lattices from algebraic number fields. Zbl 1433.11083Dubickas, Artūras; Sha, Min; Shparlinski, Igor E. 2 2017 On rational approximations to two irrational numbers. Zbl 1428.11129Dubickas, Artūras 1 2017 Distribution modulo 1 and the discrete universality of the Riemann zeta-function. Zbl 1409.11061Dubickas, Artūras; Laurinčikas, Antanas 16 2016 Salem numbers as Mahler measures of nonreciprocal units. Zbl 1356.11075Dubickas, Artūras 4 2016 Diophantine equations with truncated binomial polynomials. Zbl 1339.11044Dubickas, Artūras; Kreso, Dijana 4 2016 Positive density of integer polynomials with some prescribed properties. Zbl 1352.11031Dubickas, Artūras; Sha, Min 3 2016 Counting integer reducible polynomials with bounded measure. Zbl 1456.11205Dubickas, Artūras 3 2016 On degrees of three algebraic numbers with zero sum or unit product. Zbl 1409.11084Drungilas, Paulius; Dubickas, Artūras 2 2016 There are only finitely many distance-regular graphs of fixed valency greater than two. Zbl 1303.05044Bang, S.; Dubickas, A.; Koolen, J. H.; Moulton, V. 18 2015 Counting and testing dominant polynomials. Zbl 1409.11021Dubickas, Artūras; Sha, Min 7 2015 Joint discrete universality of Dirichlet \(L\)-functions. Zbl 1316.11077Dubickas, Artūras; Laurinčikas, Antanas 6 2015 Counting degenerate polynomials of fixed degree and bounded height. Zbl 1347.11026Dubickas, Artūras; Sha, Min 5 2015 Explicit form of Cassels’ \(p\)-adic embedding theorem for number fields. Zbl 1326.11062Dubickas, Arturas; Sha, Min; Shparlinski, Igor 2 2015 Simple linear relations between conjugate algebraic numbers of low degree. Zbl 1425.11169Dubickas, Arturas; Jankauskas, Jonas 2 2015 On the number of reducible polynomials of bounded naive height. Zbl 1305.11089Dubickas, Artūras 12 2014 Nonreciprocal units in a number field with an application to Oeljeklaus-Toma manifolds. Zbl 1290.11148Dubickas, Artūras 6 2014 Polynomials with multiple roots at 1. Zbl 1307.11033Dubickas, Artūras 3 2014 Linear recurrence sequences without zeros. Zbl 1349.11017Dubickas, Artūras; Novikas, Aivaras 3 2014 On the approximation of the Thue-Morse generating sequence. Zbl 1389.11104Dubickas, Artūras 2 2014 On the supremum of the representation function of a sumset. Zbl 1357.11014Dubickas, Artūras 2 2014 Distribution of some quadratic linear recurrence sequences modulo 1. Zbl 1324.11048Dubickas, Arturas 2 2014 On the fractional parts of powers of Pisot numbers of length at most 4. Zbl 1385.11064Dubickas, Artūras; Jankauskas, Jonas 1 2014 On multiplicative functions which are additive on sums of primes. Zbl 1344.11005Dubickas, Artūras; Šarka, Paulius 9 2013 On the degree of compositum of two number fields. Zbl 1277.11097Drungilas, Paulius; Dubickas, Artūras; Luca, Florian 3 2013 Zeros of the Estermann zeta function. Zbl 1291.11122Dubickas, A.; Garunkštis, R.; Steuding, J.; Steuding, R. 2 2013 Nonreciprocal algebraic numbers of small Mahler’s measure. Zbl 1284.11137Dubickas, Artūras; Jankauskas, Jonas 2 2013 Polynomial root separation in terms of the Remak height. Zbl 1275.11053Dubickas, Artūras 2 2013 Sums of primes and quadratic linear recurrence sequences. Zbl 1288.11095Dubickas, Artūras 2 2013 Roots of unity as quotients of two roots of a polynomial. Zbl 1321.11110Dubickas, Artūras 4 2012 A degree problem for two algebraic numbers and their sum. Zbl 1297.11133Drungilas, Paulius; Dubickas, Artūras; Smyth, Chris 3 2012 A basis of finite and infinite sets with small representation function. Zbl 1288.11012Dubickas, Artūras 2 2012 On the linear independence of the set of Dirichlet exponents. Zbl 1282.11112Dubickas, Artūras 1 2012 The lonely runner problem for many runners. Zbl 1253.11073Dubickas, Artūras 5 2011 On the location of roots of non-reciprocal integer polynomials. Zbl 1258.11051Dubickas, Artūras 2 2011 Roots of polynomials with dominant term. Zbl 1225.11132Dubickas, Artūras 1 2011 On \(\beta \)-expansions of unity for rational and transcendental numbers \(\beta \). Zbl 1274.11023Dubickas, Artūras 1 2011 Polynomials expressible by sums of monic integer irreducible polynomials. Zbl 1224.11045Dubickas, Arturas 1 2011 Refinement equations and spline functions. Zbl 1187.41005Dubickas, Artūras; Xu, Zhiqiang 6 2010 A binary linear recurrence sequence of composite numbers. Zbl 1197.11019Dubickas, Artūras; Novikas, Aivaras; Šiurys, Jonas 5 2010 Rational difference equations with positive equilibrium point. Zbl 1193.39003Dubickas, Artūras 1 2010 On the distribution of powers of a complex number. Zbl 1227.11083Dubickas, Artūras 1 2010 Powers of rational numbers modulo 1 lying in short intervals. Zbl 1205.11085Dubickas, Artūras 1 2010 On the intersection of infinite geometric and arithmetic progressions. Zbl 1257.11011Dubickas, Artūras; Jankauskas, Jonas 1 2010 On Newman polynomials which divide no Littlewood polynomial. Zbl 1208.11123Dubickas, Arturas; Jankauskas, Jonas 6 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 1221.11161Dubickas, Arturas 4 2009 Powers of a rational number modulo 1 cannot lie in a small interval. Zbl 1245.11082Dubickas, Artūras 4 2009 On the fractional parts of rational powers. Zbl 1228.11104Dubickas, Artūras 2 2009 Good points for Diophantine approximation. Zbl 1234.11095Berend, Daniel; Dubickas, Artūras 2 2009 Roots of polynomials of bounded height. Zbl 1186.12001Drungilas, Paulius; Dubickas, Artūras 2 2009 Lower bounds for \(Z\)-numbers. Zbl 1209.11070Dubickas, Arturas; Mossinghoff, Michael J. 1 2009 Prime and composite integers close to powers of a number. Zbl 1210.11080Dubickas, Artūras 1 2009 The maximal value of polynomials with restricted coefficients. Zbl 1172.30002Dubickas, Artūras; Jankauskas, Jonas 1 2009 On integer sequences generated by linear maps. Zbl 1196.11034Dubickas, Artūras 1 2009 Squares and cubes in Sturmian sequences. Zbl 1176.68150Dubickas, Artūras 1 2009 On the powers of 3/2 and other rational numbers. Zbl 1144.11053Dubickas, Artūras 6 2008 On the lines passing through two conjugates of a Salem number. Zbl 1166.11031Dubickas, Artūras; Smyth, Chris 5 2008 An approximation by lacunary sequence of vectors. Zbl 1221.11164Dubickas, Artūras 3 2008 Sumsets of Pisot and Salem numbers. Zbl 1204.11167Dubickas, Artūras 2 2008 An inequality for the multiplicity of the roots of a polynomial. Zbl 1266.11054Dubickas, Artūras 2 2008 On a problem of Mahler and Szekeres on approximation by roots of integers. Zbl 1172.11023Bugeaud, Yann; Dubickas, Artūras 2 2008 Partitions of positive integers into sets without infinite progressions. Zbl 1140.05008Dubickas, Artūras 1 2008 An estimate for the probability of dependent events. Zbl 1153.60004Dubickas, Artūras 1 2008 On the powers of some transcendental numbers. Zbl 1146.11039Dubickas, Artūras 6 2007 On roots of polynomials with positive coefficients. Zbl 1172.11036Dubickas, Artūras 5 2007 On the discriminant of the power of an algebraic number. Zbl 1127.11069Dubickas, Arturas 4 2007 On a sequence related to that of Thue-Morse and its applications. Zbl 1113.11008Dubickas, Artūras 4 2007 Arithmetical properties of linear recurrent sequences. Zbl 1111.11044Dubickas, Artūras 3 2007 Heights of powers of Newman and Littlewood polynomials. Zbl 1172.11007Dubickas, Artūras 2 2007 On the reduced height of a polynomial. Zbl 1135.12300Dubickas, Arturas; Jankauskas, Jonas 1 2007 Arithmetical properties of powers of algebraic numbers. Zbl 1164.11025Dubickas, Artūras 30 2006 On the distance from a rational power to the nearest integer. Zbl 1097.11035Dubickas, Artūras 18 2006 On the limit points of the fractional parts of powers of Pisot numbers. Zbl 1164.11026Dubickas, Artūras 7 2006 On the fractional parts of lacunary sequences. Zbl 1140.11038Dubickas, Artũras 5 2006 Additive Hilbert’s theorem 90 in the ring of algebraic integers. Zbl 1112.11050Dubickas, Artūras 4 2006 Even and odd integral parts of powers of a real number. Zbl 1138.11026Dubickas, Arturas 3 2006 On the fractional parts of the natural powers of a fixed number. Zbl 1150.11025Dubickas, Arturas 1 2006 Truncatable primes and unavoidable sets of divisors. Zbl 1127.11010Dubickas, Artūras 1 2006 Mahler measures in a cubic field. Zbl 1164.11068Dubickas, Artūras 1 2006 Integer parts of powers of rational numbers. Zbl 1084.11009Dubickas, Artūras; Novikas, Aivaras 12 2005 Fractional parts of powers and Sturmian words. Zbl 1140.11318Bugeaud, Yann; Dubickas, Artūras 9 2005 Auxiliary polynomials for some problems regarding Mahler’s measure. Zbl 1074.11018Dubickas, Artūras; Mossinghoff, Michael J. 8 2005 Two exercises concerning the degree of the product of algebraic numbers. Zbl 1220.11131Dubickas, Artūras 4 2005 There are infinitely many limit points of the fractional parts of powers. Zbl 1092.11041Dubickas, Artūras 3 2005 Conjugate algebraic numbers close to a symmetric set. Zbl 1092.11040Dubickas, A. 3 2005 Length of the sum and product of algebraic numbers. Zbl 1085.11051Dubickas, A.; Smyth, C. J. 2 2005 Prime and composite numbers as integer parts of powers. Zbl 1102.11004Alkauskas, G.; Dubickas, A. 9 2004 The polynomial Pell equation. Zbl 1077.11020Dubickas, Artūras; Steuding, Jörn 8 2004 On numbers which are Mahler measures. Zbl 1065.11084Dubickas, Artūras 5 2004 The conjugate dimension of algebraic numbers. Zbl 1062.11064Berry, Neil; Dubickas, Artūras; Elkies, Noam D.; Poonen, Bjorn; Smyth, Chris 5 2004 ...and 47 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 302 Authors 91 Dubickas, Artūras 19 Laurinčikas, Antanas 11 Jankauskas, Jonas 11 Samuels, Charles L. 11 Zaïmi, Toufik Mostepha 9 Macaitienė, Renata 9 Šiaučiūnas, Darius 8 Bugeaud, Yann 8 Drungilas, Paulius 8 Koolen, Jack H. 8 Sha, Min 6 Park, Poo-Sung 6 Shparlinski, Igor E. 5 Beltrán, Carlos 5 Fili, Paul A. 5 Luca, Florian 5 Mossinghoff, Michael J. 5 Šiurys, Jonas 5 Smyth, Christopher J. 4 Hare, Kevin G. 4 Kaliada, Dzianis 4 Kapica, Rafał 4 Morawiec, Janusz 4 Novikas, Aivaras 4 Pritsker, Igor E. 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 Ostafe, Alina 3 Pottmeyer, Lukas 3 Zaharescu, Alexandru 2 Aistleitner, Christoph 2 Bonciocat, Anca Iuliana 2 Chen, Yonggao 2 Chow, Sam 2 Filaseta, Michael A. 2 Garbaliauskienė, Virginija 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 Otiman, Alexandra 2 Park, Jongyook 2 Pethő, Attila 2 Pinner, Christopher G. 2 Qiao, Zhi 2 Rhin, Georges 2 Saff, Edward Barry 2 Sanna, Carlo 2 Schinzel, Andrzej 2 Strauch, Oto 2 Tanaka, Hajime 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 Andriantiana, Eric Ould Dadah 1 Angella, Daniele 1 Balčiūnas, Aidas 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 Brunetti, Maurizio 1 Bujtás, Csilla 1 Cafure, Antonio 1 Cámara, Marc 1 Cao, Mengyue ...and 202 more Authors all top 5 Cited in 133 Serials 25 Journal of Number Theory 17 Lithuanian Mathematical Journal 14 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 7 Mathematical Notes 7 Periodica Mathematica Hungarica 6 Acta Arithmetica 5 Acta Mathematica Hungarica 5 Indagationes Mathematicae. New Series 5 The Ramanujan Journal 5 Integers 4 Discrete Mathematics 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 Graphs and Combinatorics 4 Aequationes Mathematicae 4 Applicable Algebra in Engineering, Communication and Computing 4 St. Petersburg Mathematical Journal 4 Chebyshevskiĭ Sbornik 4 Research in Number Theory 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 Linear Algebra and its Applications 3 Acta Mathematica Sinica. English Series 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 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 Mathematica Slovaca 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Proceedings of the Japan Academy. Series A 2 Quaestiones Mathematicae 2 Siberian Mathematical Journal 2 Theoretical Computer Science 2 Advances in Applied Mathematics 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 Mathematical Modelling and Analysis 2 Journal of the Australian Mathematical Society 2 Acta Mathematica Universitatis Ostraviensis 2 Applicable Analysis and Discrete Mathematics 2 Ars Mathematica Contemporanea 2 Journal of Applied Mathematics and Computational Mechanics 1 Archive for Rational Mechanics and Analysis 1 Indian Journal of Pure & Applied Mathematics 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 Journal of Mathematics 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 Rendiconti del Seminario Matematico della Università di Padova 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 ...and 33 more Serials all top 5 Cited in 43 Fields 288 Number theory (11-XX) 41 Field theory and polynomials (12-XX) 30 Combinatorics (05-XX) 24 Functions of a complex variable (30-XX) 15 Computer science (68-XX) 13 Dynamical systems and ergodic theory (37-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 9 Group theory and generalizations (20-XX) 9 Probability theory and stochastic processes (60-XX) 8 Real functions (26-XX) 7 Difference and functional equations (39-XX) 7 Approximations and expansions (41-XX) 6 Algebraic geometry (14-XX) 6 Potential theory (31-XX) 6 Numerical analysis (65-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 Associative rings and algebras (16-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 Functional analysis (46-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 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-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 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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