| Publication | Date of Publication | Type |
|---|
| On the rational approximation to Thue-Morse rational numbers | 2024-04-08 | Paper |
| Classical and uniform exponents of multiplicative \(p\)-adic approximation | 2024-01-15 | Paper |
| $B'$ | 2023-12-05 | Paper |
| Transcendence and continued fraction expansion of values of Hecke–Mahler series | 2023-11-21 | Paper |
| Explicit bounds for the solutions of superelliptic equations over number fields | 2023-10-14 | Paper |
| Combinatorial structure of Sturmian words and continued fraction expansion of Sturmian numbers | 2023-10-11 | Paper |
| On the rational approximation to \(p\)-adic Thue-Morse numbers | 2023-07-20 | Paper |
| Metrical properties of Hurwitz Continued Fractions | 2023-06-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q6160871 | 2023-06-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q6160874 | 2023-06-02 | Paper |
| Apollonius circles and the number of irreducible factors of polynomials | 2023-03-07 | Paper |
| Effective Approximation to Complex Algebraic Numbers by Algebraic Numbers of Bounded Degree | 2023-02-10 | Paper |
| Switched server systems whose parameters are normal numbers in base 4 | 2022-10-20 | Paper |
| Absolute Root Separation | 2022-09-22 | Paper |
| Fractional parts of powers of real algebraic numbers | 2022-05-31 | Paper |
| MAHLER’S AND KOKSMA’S CLASSIFICATIONS IN FIELDS OF POWER SERIES | 2022-05-23 | Paper |
| Multiplicative \(p\)-adic approximation | 2022-03-14 | Paper |
| The Thue-Morse continued fractions in characteristic $2$ are algebraic | 2022-03-04 | Paper |
| On the Diophantine nature of the elements of Cantor sets arising in the dynamics of contracted rotations | 2022-02-28 | Paper |
| Apollonius circles and irreducibility criteria for polynomials | 2022-02-22 | Paper |
| On the conjugates of Christoffel words | 2022-02-11 | Paper |
| On the Lévy constants of Sturmian continued fractions | 2021-12-22 | Paper |
| On the Zeckendorf representation of smooth numbers | 2021-10-05 | Paper |
| ON SPRINDŽUK’S CLASSIFICATION OF -ADIC NUMBERS | 2021-09-23 | Paper |
| Hausdorff Dimension in Inhomogeneous Diophantine Approximation | 2021-08-09 | Paper |
| On Mahler’s p-adic S-, T -, and U-numbers | 2021-07-28 | Paper |
| Multiplicative dependence of rational values modulo approximate finitely generated groups | 2021-07-12 | Paper |
| On simultaneous rational approximation to a p-adic number and its integral powers, II | 2021-07-05 | Paper |
| Irreducibility criteria for compositions of multivariate polynomials over arbitrary fields | 2021-03-20 | Paper |
| Inhomogeneous Diophantine approximation over fields of formal power series | 2020-11-19 | Paper |
| Effective simultaneous rational approximation to pairs of real quadratic numbers | 2020-11-10 | Paper |
| ON PERFECT POWERS IN LINEAR RECURRENCE SEQUENCES OF INTEGERS | 2020-07-14 | Paper |
| On simultaneous rational approximation to a real number and its integral powers. II. | 2020-05-19 | Paper |
| On homogeneous and inhomogeneous Diophantine approximation over the fields of formal power series | 2020-03-10 | Paper |
| Nonarchimedean quadratic Lagrange spectra and continued fractions in power series fields | 2019-12-19 | Paper |
| Introduction [to ``Mahler Selecta] | 2019-12-12 | Paper |
| Mahler's classification of complex numbers | 2019-12-12 | Paper |
| A Mahler miscellany | 2019-12-12 | Paper |
| Hausdorff dimension and uniform exponents in dimension two | 2019-09-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5384324 | 2019-06-21 | Paper |
| Metrical Results on the Distribution of Fractional Parts of Powers of Real Numbers | 2019-04-24 | Paper |
| A new complexity function, repetitions in Sturmian words, and irrationality exponents of Sturmian numbers | 2019-01-10 | Paper |
| On the expansions of real numbers in two integer bases | 2018-11-26 | Paper |
| On the digital representation of smooth numbers | 2018-11-23 | Paper |
| Exponents of Diophantine Approximation | 2018-11-23 | Paper |
| ON MAHLER’S CLASSIFICATION OF -ADIC NUMBERS | 2018-09-27 | Paper |
| $S$-parts of values of univariate polynomials,\\ binary forms and decomposable forms at integral points | 2018-08-21 | Paper |
| Absolute Real Root Separation | 2018-07-13 | Paper |
| On the digital representation of integers with bounded prime factors | 2018-05-18 | Paper |
| On the b-ary expansions of log (1 + 1/a) and e | 2018-03-02 | Paper |
| ‐PARTS OF TERMS OF INTEGER LINEAR RECURRENCE SEQUENCES | 2018-02-26 | Paper |
| Linear forms in logarithms and applications | 2018-02-21 | Paper |
| Effective irrationality measures for real and p-adic roots of rational numbers close to 1, with an application to parametric families of Thue–Mahler equations | 2018-01-12 | Paper |
| Hankel determinants, Padé approximations, and irrationality exponents for \(p\)-adic numbers | 2017-07-14 | Paper |
| An Improvement of Liouville’s Inequality | 2017-07-14 | Paper |
| ON THE EXPANSIONS OF REAL NUMBERS IN TWO MULTIPLICATIVELY DEPENDENT BASES | 2017-06-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5270302 | 2017-06-23 | Paper |
| Irreducibility criteria for compositions of polynomials with integer coefficients | 2017-03-16 | Paper |
| Variations autour d'un théorème métrique de Khintchine | 2017-01-12 | Paper |
| Irreducibility criteria for sums of two relatively prime multivariate polynomials | 2016-11-25 | Paper |
| On uniform approximation to real numbers | 2016-11-18 | Paper |
| Four Faces of Number Theory | 2016-10-13 | Paper |
| The Legacy of Kurt Mahler | 2016-06-15 | Paper |
| Metric Diophantine approximation on the middle-third Cantor set | 2016-06-09 | Paper |
| Hankel Determinants, Padé Approximations, and Irrationality Exponents | 2016-04-15 | Paper |
| Uniform Diophantine approximation related to -ary and -expansions | 2016-03-15 | Paper |
| On a theorem of Wirsing in Diophantine approximation | 2016-03-08 | Paper |
| The irrationality exponents of computable numbers | 2016-03-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5744567 | 2016-02-18 | Paper |
| On simply normal numbers to different bases | 2016-02-10 | Paper |
| Four faces of number theory. Based on courses given at the international summer school, Würzburg, Germany, August 7--12, 2012 | 2015-11-27 | Paper |
| Quadratic approximation to automatic continued fractions | 2015-11-04 | Paper |
| On the complexity of a putative counterexample to the -adic Littlewood conjecture | 2015-10-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5258116 | 2015-06-25 | Paper |
| Diophantine approximation of Mahler numbers | 2015-05-28 | Paper |
| On the multiples of a badly approximable vector | 2015-04-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5177708 | 2015-03-05 | Paper |
| Quadratic approximation in ℚp | 2015-01-21 | Paper |
| The legacy of Kurt Mahler | 2014-10-10 | Paper |
| On the representation of Fibonacci and Lucas numbers in an integer base | 2014-09-30 | Paper |
| PERFECT POWERS WITH THREE DIGITS | 2014-09-24 | Paper |
| A combinatorial proof of the non-vanishing of Hankel determinants of the Thue-Morse sequence | 2014-09-09 | Paper |
| The Problem of Catalan | 2014-09-05 | Paper |
| Distribution of full cylinders and the Diophantine properties of the orbits in \(\beta\)-expansions | 2014-09-01 | Paper |
| Book review of: Martin Aigner, Markov's theorem and 100 years of the uniqueness conjecture. | 2014-08-29 | Paper |
| On the quadratic Lagrange spectrum | 2014-06-13 | Paper |
| Perfect powers with few binary digits and related Diophantine problems | 2014-04-09 | Paper |
| Automatic continued fractions are transcendental or quadratic | 2014-03-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5404283 | 2014-03-24 | Paper |
| Root separation for reducible integer polynomials | 2014-03-17 | Paper |
| IRREDUCIBILITY CRITERIA FOR SUMS OF TWO RELATIVELY PRIME POLYNOMIALS | 2013-09-30 | Paper |
| Transcendence of Stammering Continued Fractions | 2013-07-23 | Paper |
| Hausdorff Dimension and Diophantine Approximation | 2013-06-19 | Paper |
| Some Pólya-Type Irreducibility Criteria for Multivariate Polynomials | 2013-01-18 | Paper |
| Transcendence with Rosen continued fractions | 2013-01-17 | Paper |
| On the expansions of a real number to several integer bases | 2012-11-22 | Paper |
| Perfect powers with few binary digits and related Diophantine problems, II | 2012-11-22 | Paper |
| Effective results for restricted rational approximation to quadratic irrationals | 2012-10-05 | Paper |
| Quantitative versions of the subspace theorem and applications | 2012-08-31 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2904676 | 2012-08-16 | Paper |
| On fractional parts of powers of real numbers close to 1 | 2012-08-13 | Paper |
| Equations de Fermat--Pell--Mahler simultanees | 2012-07-12 | Paper |
| VARIATIONS AROUND A PROBLEM OF MAHLER AND MENDÈS FRANCE | 2012-07-12 | Paper |
| Continued fractions with low complexity: transcendence measures and quadratic approximation | 2012-06-29 | Paper |
| On the rational approximation to the Thue-Morse-Mahler numbers | 2012-05-09 | Paper |
| Root separation for irreducible integer polynomials | 2011-12-19 | Paper |
| On simultaneous rational approximation to ap-adic number and its integral powers | 2011-10-25 | Paper |
| Nombres réels de complexité sous-linéaire : mesures d'irrationalité et de transcendance | 2011-10-24 | Paper |
| Schmidt's game, fractals, and numbers normal to no base | 2011-08-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3010838 | 2011-06-27 | Paper |
| METRIC CONSIDERATIONS CONCERNING THE MIXED LITTLEWOOD CONJECTURE | 2011-06-27 | Paper |
| Morphic and automatic words: maximal blocks and Diophantine approximation | 2011-06-15 | Paper |
| Transcendence and Diophantine approximation | 2011-04-18 | Paper |
| Badly approximable numbers and Littlewood-type problems | 2011-03-08 | Paper |
| On simultaneous rational approximation to a real number and its integral powers | 2011-02-09 | Paper |
| Sets of exact approximation order by rational numbers III | 2011-01-14 | Paper |
| On simultaneous uniform approximation to a $p$-adic number and its square | 2010-11-12 | Paper |
| An explicit lower bound for the block complexity of an algebraic number | 2010-09-19 | Paper |
| ON SHRINKING TARGETS FOR ℤ m ACTIONS ON TORI | 2010-08-30 | Paper |
| Mesures de transcendance et aspects quantitatifs de la méthode de Thue-Siegel-Roth-Schmidt | 2010-07-22 | Paper |
| Transcendence measures for continued fractions involving repetitive or symmetric patterns | 2010-07-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3570643 | 2010-06-25 | Paper |
| POLYNOMIAL ROOT SEPARATION | 2010-06-08 | Paper |
| On transfer inequalities in Diophantine approximation. II | 2010-05-17 | Paper |
| Exponents of Diophantine approximation and expansions in integer bases | 2010-03-31 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5188088 | 2010-03-10 | Paper |
| On the approximation to algebraic numbers by algebraic numbers | 2010-01-06 | Paper |
| Diophantine exponents for mildly restricted approximation | 2009-12-14 | Paper |
| On the β-Expansion of an Algebraic Number in an Algebraic Base β | 2009-10-16 | Paper |
| On a mixed problem in Diophantine approximation | 2009-10-14 | Paper |
| Approximation of complex algebraic numbers by algebraic numbers of bounded degree | 2009-09-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3391526 | 2009-08-11 | Paper |
| A Sturmian sequence related to the uniqueness conjecture for Markoff numbers | 2009-08-07 | Paper |
| On sequences $(a_n \xi )_{n \ge 1}$ converging modulo $1$ | 2009-07-23 | Paper |
| Almost powers in the Lucas sequence | 2009-06-30 | Paper |
| Integral points on hyperelliptic curves | 2009-03-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3613905 | 2009-03-16 | Paper |
| Zero–infinity laws in Diophantine approximation | 2009-02-26 | Paper |
| On the Construction of (Explicit) Khodak's Code and Its Analysis | 2009-02-24 | Paper |
| On a problem of Mahler and Szekeres on approximation by roots of integers | 2009-02-20 | Paper |
| On the values of a class of analytic functions at algebraic points | 2008-12-02 | Paper |
| On the \(b\)-ary expansion of an algebraic number | 2008-12-01 | Paper |
| Sums of the error term function in the mean square for \(\zeta (s)\) | 2008-11-25 | Paper |
| Fibonacci numbers at most one away from a perfect power | 2008-11-05 | Paper |
| On the Nagell-Ljunggren equation $(x^n - 1)/(x - 1) = y^q$ | 2008-11-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3530428 | 2008-10-20 | Paper |
| On two notions of complexity of algebraic numbers | 2008-08-08 | Paper |
| On Integer Polynomials with Multiple Roots | 2008-07-29 | Paper |
| A Multi-Frey Approach to Some Multi-Parameter Families of Diophantine Equations | 2008-07-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3509816 | 2008-06-24 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3504264 | 2008-06-11 | Paper |
| Diophantine approximation and Cantor sets | 2008-06-04 | Paper |
| On a mixed Littlewood conjecture in fields of power series | 2008-05-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5457524 | 2008-04-14 | Paper |
| A Short Proof of the Transcendence of Thue-Morse Continued Fractions | 2008-03-11 | Paper |
| Dynamics forβ-shifts and Diophantine approximation | 2008-01-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5433084 | 2007-12-19 | Paper |
| Palindromic continued fractions | 2007-11-27 | Paper |
| Perfect powers from products of terms in Lucas sequences | 2007-11-06 | Paper |
| On the Maillet-Baker continued fractions | 2007-10-24 | Paper |
| ON THE FAMILY OF DIOPHANTINE TRIPLES {k− 1,k+ 1, 16k3− 4k} | 2007-09-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5757093 | 2007-08-24 | Paper |
| On the complexity of algebraic numbers. I: Expansions in integer bases | 2007-08-20 | Paper |
| Continued fractions and transcendental numbers | 2007-08-01 | Paper |
| Transcendence criteria for pairs of continued fractions | 2007-08-01 | Paper |
| On the independence of expansions of algebraic numbers in an integer base | 2007-07-12 | Paper |
| On a mixed Littlewood conjecture in Diophantine approximation | 2007-06-29 | Paper |
| Real and p-adic expansions involving symmetric patterns | 2007-02-06 | Paper |
| On simultaneous inhomogeneous Diophantine approximation | 2007-01-05 | Paper |
| On Pillai's Diophantine equation | 2006-11-21 | Paper |
| Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers | 2006-09-04 | Paper |
| On the complexity of algebraic numbers. II: Continued fractions | 2006-07-06 | Paper |
| ON THE LITTLEWOOD CONJECTURE IN SIMULTANEOUS DIOPHANTINE APPROXIMATION | 2006-05-22 | Paper |
| Classical and modular approaches to exponential Diophantine equations II. The Lebesgue–Nagell equation | 2006-04-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3375674 | 2006-03-16 | Paper |
| ON PERFECT POWERS IN LUCAS SEQUENCES | 2006-02-08 | Paper |
| On Fibonacci numbers with few prime divisors | 2006-01-03 | Paper |
| Separation of the roots of polynomials and a question of Sprindzhuk | 2005-11-16 | Paper |
| On binomial Thue-Mahler equations | 2005-10-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5694683 | 2005-10-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5315707 | 2005-09-09 | Paper |
| Fractional parts of powers and Sturmian words | 2005-08-17 | Paper |
| Simultaneous approximation by algebraic numbers | 2005-06-30 | Paper |
| On the period of the continued fraction expansion of \(\sqrt{2^{2n+1}+1}\) | 2005-06-10 | Paper |
| Exponents of Diophantine approximation and Sturmian continued fractions. | 2005-05-25 | Paper |
| ON THE DISTANCE BETWEEN ROOTS OF INTEGER POLYNOMIALS | 2005-05-09 | Paper |
| Intersective sets and Diophantine approximation | 2005-03-07 | Paper |
| On generalizations of a problem of Diophantus | 2005-03-01 | Paper |
| On the Diophantine equation \((x^ k-1)(y^ k-1)=(z^ k-1)\). | 2005-01-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4829657 | 2004-11-30 | Paper |
| Linear mod one transformations and the distribution of fractional parts {ξ(p/q)n} | 2004-11-29 | Paper |
| On Fibonacci numbers of the form \(q^ky^k\). | 2004-11-23 | Paper |
| An inhomogeneous Jarník theorem | 2004-11-01 | Paper |
| On the Diophantine equation \(\frac{x^m-1}{x-1}=\frac{y^n-1}{y-1}\). | 2004-09-16 | Paper |
| On \(U_m\)-numbers with small transcendence measure | 2004-09-07 | Paper |
| On the complexity of algebraic numbers | 2004-08-20 | Paper |
| A quantitative lower bound for the greatest prime factor of (ab+1)(bc+1)(ca+1) | 2004-08-18 | Paper |
| On a problem of Diophantus for higher powers | 2004-03-17 | Paper |
| The Nagell-Ljunggren equation \(\frac{x^n-1}{x-1}=y^q\) | 2004-03-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4432299 | 2003-12-08 | Paper |
| Sets of exact approximation order by rational numbers | 2003-11-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4429272 | 2003-09-25 | Paper |
| Mahler's classification of numbers compared with Koksma's | 2003-06-12 | Paper |
| An upper bound for the g.c.d. of \(a^n-1\) and \(b^n -1\) | 2003-06-02 | Paper |
| Approximation par des nombres algébriques de degré borné et dimension de Hausdorff. (Approximation by algebraic numbers of bounded degree and the Hausdorff dimension) | 2003-03-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4549576 | 2003-03-06 | Paper |
| A NOTE ON INHOMOGENEOUS DIOPHANTINE APPROXIMATION | 2003-01-01 | Paper |
| On integers with identical digits | 2002-12-15 | Paper |
| Un nouveau critère pour l'équation de Catalan | 2002-12-15 | Paper |
| Liouville numbers and normal numbers | 2002-12-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4781811 | 2002-11-13 | Paper |
| APPROXIMATION BY ALGEBRAIC INTEGERS AND HAUSDORFF DIMENSION | 2002-10-22 | Paper |
| On the sequence of numbers of the form \(q^{n_1} + \cdots + q^{n_k}\) | 2002-09-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4548550 | 2002-08-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4546153 | 2002-08-19 | Paper |
| On simple \(K_4\)-groups | 2002-04-22 | Paper |
| Sur L'équation Diophantienne (x n −1)/(x −1)=y q , III | 2002-01-28 | Paper |
| On the number of solutions of the generalized Ramanujan-Nagell equation | 2001-10-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3837787 | 2001-09-09 | Paper |
| Proof of the Baker-Feldman theorem via linear forms in two logarithms | 2001-07-30 | Paper |
| On some exponential Diophantine equations | 2001-07-29 | Paper |
| Lower bounds for the difference \(ax^n-by^m\) | 2001-06-12 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2710112 | 2001-04-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2707219 | 2001-04-01 | Paper |
| Approximation by algebraic numbers | 2001-02-06 | Paper |
| On The Greatest Prime Factor of ax m +by n , II | 2000-12-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4510762 | 2000-12-12 | Paper |
| On the Diophantine equation \({x^ n-1\over x-1}=y^ q\). | 2000-12-03 | Paper |
| Sur l'équation diophantienne | 2000-10-25 | Paper |
| On the greatest prime factor of (ab + 1)(bc + 1)(ca + 1) | 2000-08-10 | Paper |
| Approximation d'un nombre réel par des nombres algébriques de degré donné | 2000-07-06 | Paper |
| Linear forms in p-adic logarithms and the Diophantine equation formula here | 2000-03-03 | Paper |
| The equation formula here has no solution with x square | 2000-02-17 | Paper |
| Calcul de la dynamique de transformations linéaires contractantes mod 1 et arbre de Farey | 2000-02-12 | Paper |
| Effective bounds for solutions of \(S\)-unit equations and of Thue-Mahler equations | 1999-12-02 | Paper |
| On a property of Pisot numbers and related questions | 1999-09-14 | Paper |
| Algebraic numbers close to 1 in non-archimedean metrics | 1999-08-12 | Paper |
| Examples and counterexamples for Riemann sums | 1999-04-22 | Paper |
| Sur le plus grand facteur premier de axm + byn | 1999-02-02 | Paper |
| On the size of integer solutions of elliptic equations | 1998-11-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4345355 | 1998-03-30 | Paper |
| On the diophantine equation $x^2-2^m=\pm y^n$ | 1997-12-11 | Paper |
| Effective lower bound for the \(p\)-adic distance between powers of algebraic numbers | 1997-09-11 | Paper |
| On the diophantine equation $x^2 - p^m = ±y^n$ | 1997-07-30 | Paper |
| Bounds for the solutions of unit equations | 1997-05-12 | Paper |
| Bounds for the solutions of Thue-Mahler equations and norm form equations | 1997-05-12 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4886652 | 1996-08-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4864317 | 1996-02-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3141811 | 1993-11-09 | Paper |
