Arturas Dubickas

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Person:699738

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zbMath Open dubickas.arturasWikidataQ12649202 ScholiaQ12649202MaRDI QIDQ699738

List of research outcomes

PublicationDate of PublicationType
GAPS IN A SUMSET OF A POLYNOMIAL WITH ITSELF2024-04-11Paper
Euclidean minima of algebraic number fields2024-04-02Paper
On metric and cohomological properties of Oeljeklaus-Toma manifolds2024-01-15Paper
No cubic integer polynomial generates a Sidon sequence2023-10-17Paper
Every Salem number is a difference of two Pisot numbers2023-09-15Paper
Invariant sets in real number fields2023-08-29Paper
Shifted power of a polynomial with integral roots2023-08-18Paper
Sumset of three arithmetic progressions in the complex plane2023-08-10Paper
Minimal degree of an element of a number field with respect to its quadratic extension2023-07-10Paper
Lower bounds for Mahler-type measures of polynomials2023-06-27Paper
Algebraic integers with small potential energy2023-05-31Paper
Minimal Mahler measures for generators of some fields2023-05-17Paper
On the least common multiple of several consecutive values of a polynomial2023-04-04Paper
Additive groups with many unimodular elements2023-02-23Paper
Counting decomposable polynomials with integer coefficients2023-02-16Paper
Mahler measures of Pisot and Salem type numbers2022-11-16Paper
https://portal.mardi4nfdi.de/entity/Q50389662022-10-09Paper
An effective version of the primitive element theorem2022-10-06Paper
On the size of a restricted sumset with application to the binary expansion of √d2022-07-27Paper
A game with two players choosing the coefficients of a polynomial2022-03-21Paper
Transcendency of some constants related to integer sequences of polynomial iterations2022-02-11Paper
Divisibility of integers obtained from truncated periodic sequences2022-02-02Paper
Root separation for polynomials with reducible derivative2021-12-07Paper
Inequalities between height and deviation of polynomials2021-11-29Paper
Units in number fields satisfying a multiplicative relation with application to Oeljeklaus-Toma manifolds2021-07-07Paper
Cyclotomic quotients of two conjugates of an algebraic number2021-06-07Paper
Graphs with diameter 2 and large total domination number2021-03-17Paper
Pillai's equation in polynomials2021-03-12Paper
Weighted Fekete points on the real line and the unit circle2021-02-16Paper
Irreducibility of a polynomial shifted by a power of another polynomial2021-02-08Paper
https://portal.mardi4nfdi.de/entity/Q51325172020-11-12Paper
Algebraic integers close to the unit circle2020-11-10Paper
Linear relations with conjugates of a Salem number2020-09-14Paper
https://portal.mardi4nfdi.de/entity/Q51166612020-08-18Paper
Recurrence with prescribed number of residues2020-08-03Paper
https://portal.mardi4nfdi.de/entity/Q51135592020-06-11Paper
https://portal.mardi4nfdi.de/entity/Q51135692020-06-11Paper
On the distance between two algebraic numbers2020-06-09Paper
Maximal values of symmetric functions in distances between points2020-05-05Paper
Small discs containing conjugate algebraic integers2020-04-28Paper
Extremal problems for polynomials with real roots2020-03-12Paper
Reducibility of polynomials after a polynomial substitution2020-02-26Paper
A lower bound for the maximum of a polynomial in the unit disc2020-02-26Paper
https://portal.mardi4nfdi.de/entity/Q49724432019-11-25Paper
Algebraic integers with small absolute size2019-10-15Paper
On the Hurwitz zeta functions with algebraic irrational parameter2019-07-19Paper
Professor Antanas Laurinčikas2019-07-18Paper
Mahler measure of a difference of two conjugates2019-07-18Paper
Products of consecutive values of some quartic polynomials2019-06-20Paper
On distances in lattices from algebraic number fields2019-06-19Paper
Fractional parts of powers of large rational numbers2019-06-18Paper
Bounding univariate and multivariate reducible polynomials with restricted height2019-05-23Paper
Multiplicative dependence of the translations of algebraic numbers2019-02-14Paper
The distance to square-free polynomials2019-01-30Paper
Multiplicative dependence of two integers shifted by a root of unity2019-01-07Paper
ALGEBRAIC NUMBERS WITH BOUNDED DEGREE AND WEIL HEIGHT2018-09-27Paper
On sums of two and three roots of unity2018-09-24Paper
The size of algebraic integers with many real conjugates2018-07-18Paper
Rational quotients of two linear forms in roots of a polynomial2018-07-12Paper
On the number of integer polynomials with multiplicatively dependent roots2018-04-27Paper
On the number of monic integer polynomials with given signature2018-04-11Paper
Counting decomposable polynomials with integer coefficients2018-03-23Paper
Intervals without primes near elements of linear recurrence sequences2018-02-13Paper
Roots of unity as quotients of two conjugate algebraic numbers2017-12-01Paper
Counting integer reducible polynomials with bounded measure2017-07-19Paper
Some irreducibility and indecomposability results for truncated binomial polynomials of small degree2017-06-14Paper
On rational approximations to two irrational numbers2017-05-18Paper
On the supremum of the representation function of a sumset2017-03-20Paper
No two non-real conjugates of a Pisot number have the same imaginary part2017-01-04Paper
Salem numbers as Mahler measures of nonreciprocal units2016-11-18Paper
Counting and Testing Dominant Polynomials2016-06-27Paper
On degrees of three algebraic numbers with zero sum or unit product2016-04-28Paper
Distribution modulo 1 and the discrete universality of the Riemann zeta-function2016-04-13Paper
Diophantine equations with truncated binomial polynomials2016-01-12Paper
https://portal.mardi4nfdi.de/entity/Q34508362015-11-09Paper
Positive density of integer polynomials with some prescribed properties2015-10-21Paper
Explicit Form of Cassels’p-adic Embedding Theorem for Number Fields2015-10-20Paper
Counting degenerate polynomials of fixed degree and bounded height2015-09-09Paper
On the minimum of certain functional related to the Schrödinger equation2015-08-26Paper
https://portal.mardi4nfdi.de/entity/Q52507742015-05-22Paper
On relations for rings generated by algebraic numbers and their conjugates2015-04-21Paper
Joint discrete universality of Dirichlet \(L\)-functions2015-02-03Paper
Linear recurrence sequences without zeros2015-01-27Paper
There are only finitely many distance-regular graphs of fixed valency greater than two2014-11-26Paper
When should a polynomial’s root nearest to a real number be real itself?2014-11-24Paper
There are no two non-real conjugates of a Pisot number with the same imaginary part2014-10-06Paper
On the fractional parts of powers of Pisot numbers of length at most 42014-09-04Paper
On the number of reducible polynomials of bounded naive height2014-08-29Paper
Finding large co-Sidon subsets in sets with a given additive energy2014-07-29Paper
https://portal.mardi4nfdi.de/entity/Q51669442014-07-09Paper
A degree problem for two algebraic numbers and their sum2014-06-30Paper
POLYNOMIALS WITH MULTIPLE ROOTS AT 12014-04-11Paper
Nonreciprocal units in a number field with an application to Oeljeklaus-Toma manifolds2014-04-11Paper
Sums of primes and quadratic linear recurrence sequences2013-12-05Paper
https://portal.mardi4nfdi.de/entity/Q28622522013-11-14Paper
Linear Forms in Monic Integer Polynomials2013-11-12Paper
ZEROS OF THE ESTERMANN ZETA FUNCTION2013-10-08Paper
On multiplicative functions which are additive on sums of primes2013-10-07Paper
On the degree of compositum of two number fields2013-03-15Paper
Nonreciprocal algebraic numbers of small Mahler's measure2013-02-15Paper
On the linear independence of the set of Dirichlet exponents2013-01-18Paper
ROOTS OF UNITY AS QUOTIENTS OF TWO ROOTS OF A POLYNOMIAL2013-01-10Paper
Density of some sequences modulo 12012-12-06Paper
An inequality for the multiplicity of the roots of a polynomial2012-10-11Paper
https://portal.mardi4nfdi.de/entity/Q29132562012-09-26Paper
Sumsets of sparse sets2012-09-17Paper
Divisibility of the resultant of a polynomial and a cyclotomic polynomial2012-09-05Paper
Heights of squares of Littlewood polynomials and infinite series2012-06-25Paper
On the location of roots of non-reciprocal integer polynomials2012-06-20Paper
A basis of finite and infinite sets with small representation function2012-06-12Paper
On some rational triangles2012-05-11Paper
https://portal.mardi4nfdi.de/entity/Q31176082012-02-29Paper
https://portal.mardi4nfdi.de/entity/Q31168622012-02-13Paper
On β-expansions of unity for rational and transcendental numbers β2011-11-11Paper
ROOTS OF POLYNOMIALS WITH DOMINANT TERM2011-09-27Paper
Two exercises concerning the degree of the product of algebraic numbers2011-09-01Paper
https://portal.mardi4nfdi.de/entity/Q30152972011-07-12Paper
https://portal.mardi4nfdi.de/entity/Q30079492011-06-17Paper
On a weighted sum of distances from a well distributed set of points2011-05-03Paper
On polynomials with flat squares2011-01-14Paper
On the intersection of infinite geometric and arithmetic progressions2010-12-15Paper
On Newman polynomials which divide no Littlewood polynomial2010-11-07Paper
Lower bounds for Z-numbers2010-11-07Paper
On the distribution of powers of a complex number2010-09-08Paper
A binary linear recurrence sequence of composite numbers2010-07-07Paper
RATIONAL DIFFERENCE EQUATIONS WITH POSITIVE EQUILIBRIUM POINT2010-06-21Paper
Powers of rational numbers modulo 1 lying in short intervals2010-05-03Paper
On Mahler measures of a self-inversive polynomial and its derivative2010-04-13Paper
Refinement equations and spline functions2010-02-24Paper
Good points for Diophantine approximation2009-12-09Paper
Binary words with a given Diophantine exponent2009-11-06Paper
Prime and composite integers close to powers of a number2009-11-06Paper
ON THE FRACTIONAL PARTS OF RATIONAL POWERS2009-11-03Paper
An approximation property of lacunary sequences2009-09-03Paper
https://portal.mardi4nfdi.de/entity/Q33915292009-08-11Paper
Squares and cubes in Sturmian sequences2009-07-15Paper
Roots of polynomials of bounded height2009-06-18Paper
ON INTEGER SEQUENCES GENERATED BY LINEAR MAPS2009-06-18Paper
https://portal.mardi4nfdi.de/entity/Q36290002009-05-26Paper
THE MAXIMAL VALUE OF POLYNOMIALS WITH RESTRICTED COEFFICIENTS2009-05-05Paper
Powers of a rational number modulo 1 cannot lie in a small interval2009-04-01Paper
On the limit points of $(a_n\xi )_{n=1}^{\infty }$ mod $1$ for slowly increasing integer sequences $(a_n)_{n=1}^{\infty }$2009-02-25Paper
On a problem of Mahler and Szekeres on approximation by roots of integers2009-02-20Paper
Mahler measures in a cubic field2009-02-09Paper
An Approximation by Lacunary Sequence of Vectors2008-12-11Paper
https://portal.mardi4nfdi.de/entity/Q35452262008-12-10Paper
An estimate for the probability of dependent events2008-11-25Paper
https://portal.mardi4nfdi.de/entity/Q35398242008-11-19Paper
On the powers of 3/2 and other rational numbers2008-07-21Paper
https://portal.mardi4nfdi.de/entity/Q35120632008-07-11Paper
Multiplicative relations with conjugate algebraic numbers2008-06-18Paper
https://portal.mardi4nfdi.de/entity/Q34993022008-05-29Paper
On the Powers of Some Transcendental Numbers2008-04-29Paper
https://portal.mardi4nfdi.de/entity/Q54484392008-03-20Paper
On the lines passing through two conjugates of a Salem number2008-03-13Paper
Sumsets of Pisot and Salem numbers2008-03-05Paper
On the fractional parts of lacunary sequences2008-02-22Paper
https://portal.mardi4nfdi.de/entity/Q54370712008-01-18Paper
Every Real Algebraic Integer Is a Difference of Two Mahler Measures2008-01-17Paper
On the discriminant of the power of an algebraic number2008-01-14Paper
Sumsets without powerful numbers2007-12-17Paper
On roots of polynomials with positive coefficients2007-10-11Paper
On Mahler's inequality for the sum of polynomials2007-07-16Paper
Heights of powers of Newman and Littlewood polynomials2007-06-29Paper
https://portal.mardi4nfdi.de/entity/Q52930152007-06-26Paper
https://portal.mardi4nfdi.de/entity/Q34339512007-04-23Paper
https://portal.mardi4nfdi.de/entity/Q34285982007-03-28Paper
On a sequence related to that of Thue-Morse and its applications2007-03-15Paper
Mahler measures in a field are dense modulo 12007-03-02Paper
Arithmetical properties of linear recurrent sequences2007-02-12Paper
Large integer polynomials in several variables2006-09-28Paper
EVEN AND ODD INTEGRAL PARTS OF POWERS OF A REAL NUMBER2006-09-25Paper
https://portal.mardi4nfdi.de/entity/Q54882122006-09-13Paper
Additive Hilbert's theorem 90 in the ring of algebraic integers2006-08-17Paper
The values of Mahler measures2006-07-10Paper
Some isoperimetric inequalities and their application to problems on polynomials2006-06-27Paper
Prime and composite numbers as integer parts of powers2006-06-27Paper
On the distance from a rational power to the nearest integer2006-04-28Paper
Conjugate algebraic numbers close to a symmetric set2006-03-23Paper
ARITHMETICAL PROPERTIES OF POWERS OF ALGEBRAIC NUMBERS2006-03-22Paper
There are infinitely many limit points of the fractional parts of powers2006-01-23Paper
Two variations of a theorem of Kronecker2005-11-07Paper
Integer parts of powers of rational numbers2005-11-03Paper
The polynomial Pell equation2005-09-26Paper
Length of the sum and product of algebraic numbers2005-09-08Paper
Auxiliary polynomials for some problems regarding Mahler's measure2005-09-07Paper
Fractional parts of powers and Sturmian words2005-08-17Paper
Divisibility properties of certain recurrent sequences2005-07-14Paper
https://portal.mardi4nfdi.de/entity/Q46737022005-05-09Paper
The Remak height for units2005-04-28Paper
The conjugate dimension of algebraic numbers2005-02-24Paper
ON SUBFIELDS OF A FIELD GENERATED BY TWO CONJUGATE ALGEBRAIC NUMBERS2005-02-18Paper
Mahler measures generate the largest possible groups2004-12-29Paper
Relations with conjugate numbers over a finite field2004-10-15Paper
On numbers which are Mahler measures2004-09-22Paper
On metric heights2004-09-07Paper
https://portal.mardi4nfdi.de/entity/Q48140182004-09-07Paper
On a height related to the \(abc\) conjecture.2004-06-22Paper
https://portal.mardi4nfdi.de/entity/Q44671382004-06-08Paper
On the metric Mahler measure2004-02-19Paper
On numbers which are differences of two conjugates of an algebraic integer2004-01-26Paper
Mahler Measures Close to an Integer2004-01-14Paper
ON THE ORDER OF VANISHING OF POLYNOMIALS2003-12-10Paper
Asymptotic density of surds with stable height2003-12-09Paper
Multiplicative dependence of shifted algebraic numbers2003-09-09Paper
Polynomials irreducible by Eisenstein's criterion2003-09-01Paper
Certain Diophantine properties of the Mahler measure2003-06-15Paper
Additive relations with conjugate algebraic numbers2003-06-12Paper
On the trace of algebraic integers of small height2003-05-19Paper
https://portal.mardi4nfdi.de/entity/Q48002032003-04-02Paper
https://portal.mardi4nfdi.de/entity/Q27708222003-03-12Paper
On the degree of a linear form in conjugates of an algebraic number2003-01-01Paper
Integer parts of powers of Pisot and Salem numbers2002-12-01Paper
ON THE REMAK HEIGHT, THE MAHLER MEASURE AND CONJUGATE SETS OF ALGEBRAIC NUMBERS LYING ON TWO CIRCLES2002-11-12Paper
https://portal.mardi4nfdi.de/entity/Q27696732002-08-25Paper
The Lehmer constants of an annulus2002-07-24Paper
Totally real algebraic integers in small intervals2002-05-04Paper
https://portal.mardi4nfdi.de/entity/Q44096972002-01-01Paper
Polynomials with a root close to an integer2001-11-12Paper
On the order of vanishing at 1 of a polynomial2001-06-28Paper
On a certain geometric mean of the values of a polynomial2001-06-25Paper
On the measure of a nonreciprocal algebraic number2001-06-17Paper
Three problems for polynomials of small measure2001-06-17Paper
On the number of polynomials of small house2000-10-04Paper
Polynomials with high multiplicity at unity and Tarry's problem2000-08-14Paper
https://portal.mardi4nfdi.de/entity/Q49539222000-05-14Paper
https://portal.mardi4nfdi.de/entity/Q42521542000-01-09Paper
On intervals containing full sets of conjugates of algebraic integers2000-01-06Paper
On algebraic numbers close to 11999-12-12Paper
On the number of polynomials of bounded measure1999-11-24Paper
On the distribution of roots of polynomials in sectors. I1999-09-09Paper
On the distribution of roots of polynomials in sectors. II1999-09-09Paper
https://portal.mardi4nfdi.de/entity/Q42344461999-08-18Paper
The mean values of logarithms of algebraic integers1999-06-23Paper
Multiplicative dependence of quadratic polynomials1999-06-10Paper
On the maximal conjugate of a totally real algebraic integer1998-04-01Paper
The maximal conjugate of a non-reciprocal algebraic integer1998-03-26Paper
On the maximal product of distances between points on a sphere1997-10-30Paper
On the average difference between two conjugates of an algebraic number1997-05-26Paper
On algebraic numbers of small measure1997-04-24Paper
Refined approximation to \(\pi/ \sqrt 3\) by rational fractions1996-03-27Paper
On a linear form of powers of rationals1995-09-18Paper
Approximation of certain numbers by elements of a given number field1994-04-04Paper
An estimate for a linear form in algebraic numbers1994-04-04Paper
Approximation of \(\pi/\sqrt 3\) by rational fractions1993-09-14Paper
On a conjecture of A. Schinzel and H. Zassenhaus1993-06-17Paper
https://portal.mardi4nfdi.de/entity/Q40358721993-05-18Paper
https://portal.mardi4nfdi.de/entity/Q33588131991-01-01Paper
https://portal.mardi4nfdi.de/entity/Q33588141991-01-01Paper
On approximation of some logarithms of rational numbers by rational fractions of special type1990-01-01Paper
https://portal.mardi4nfdi.de/entity/Q34882471990-01-01Paper
A lower bound for the quantity ||(3/2)k||1990-01-01Paper
https://portal.mardi4nfdi.de/entity/Q37739591987-01-01Paper
https://portal.mardi4nfdi.de/entity/Q37987391986-01-01Paper

Research outcomes over time


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