Reminder

In all DK related publications, it is required to acknowledge support of the FWF. The following naming convention must be used in all cases:

    Austrian Science Fund (FWF): W1230

For example, you may include a sentence such as "The author acknowledges the support of the Austrian Science Fund (FWF): W1230." Please do not forget!

Project 9:
Diophantine approximation and combinatorial problems

2010
[65]Dependence in Probability, Analysis and Number Theory, (István Berkes, Richard C. Bradley, Herold Dehling, Magda Peligrad, Robert Tichy, eds.), Kendrick Press, Heber City, UT, iv+353, (2010). [bibtex]
2011
[64]Christoph Aistleitner, István Berkes and Robert Tichy, On the asymptotic behavior of weakly lacunary sequences, Proceedings of the American Mathematical Society, 139, 2505-2517, (2011). [bibtex] [doi]
[63]Fabrizio Barroero, Christopher Frei and Robert F. Tichy, Additive unit representations in rings over global fields – A survey, Publicationes Mathematicae Debrecen, 79(3-4), 291-307, (2011). [bibtex]
[62]Christopher Frei, Sum of units in number fields and function fields, PhD thesis, TU Graz, (2011). [bibtex] [url]
[61]Zrinka Franušić and Dijana Kreso, Nonextensibility of the pair $\lbrace 1, 3\rbrace$ to a Diophantine quintuple in ${\mathbb Z}[\sqrt{2}]$, Journal of Combinatorics and Number Theory, 3(3), 1-15, (2011). [bibtex]
2012
[60]Christoph Aistleitner, István Berkes and Robert Tichy, On the law of the iterated logarithm for permuted lacunary sequences, Proceedings of the Steklov Institute of Mathematics, 276, 3-20, (2012). [bibtex]
[59]Christoph Aistleitner, István Berkes and Robert Tichy, On the system $f(nx)$ and probabilistic number theory. Analytic and probabilistic methods in number theory, In Proceedings of the 5th International Conference in honour of J. Kubilius held in Palanga, TEV, 1-18, (2012). [bibtex]
[58]András Bazsó, Dijana Kreso, Florian Luca and Ákos Pintér, On equal values of power sums of arithmetic progressions, Glasnik Matematički, 47(2), 253–263, (2012). [bibtex]
2013
[57]Fabrizio Barroero, Counting lattice points, o-minimal structures and applications, PhD thesis, TU Graz, (2013). [bibtex] [url]
[56]Rainer Dietmann, Christian Elsholtz and Igor E. Shparlinski, On gaps between primitive roots in the Hamming metric., Quarterly Journal of Mathematics, 64(4), 1043–1055, (2013). [bibtex] [doi]
[55]Andrej Dujella and Christian Elsholtz, Sumsets being squares, Acta Mathematica Hungarica, 141(4), 353-357, (2013). [bibtex] [pdf] [doi]
[54]Markus Hofer, Maria Rita Iacò and Robert Tichy, Ergodic properties of $\beta$-adic Halton sequences, Ergodic Theory and Dynamical Systems, 35, 895–909, (2013). [bibtex] [doi]
[53]Dijana Kreso and Csaba Rakaczki, Diophantine equations with Euler polynomials, Acta Arithmetica, 161, 267–281, (2013). [bibtex] [doi]
2014
[52]Fabrizio Barroero, Counting algebraic integers of fixed degree and bounded height, Monatshefte für Mathematik, 175, 25-41, (2014). [bibtex] [doi]
[51]Fabrizio Barroero and Martin Widmer, Counting lattice points and o-minimal structures, International Mathematics Research Notices, 2014, 4932-4957, (2014). [bibtex] [doi]
[50]Carbone, Ingrid and Iacò, Maria Rita, A dynamical system approach to the Kakutani-Fibonacci sequence, Ergodic Theory Dynam. Systems, 34(6), 1794–1806, (2014). [bibtex] [doi]
[49]Christian Elsholtz, Alan Filipin and Yasutsugu Fujita, On Diophantine quintuples and $D(-1)$-quadruples, Monatshefte für Mathematik, 175, 227-239, (2014). [bibtex] [doi]
[48]Markus Hofer and Maria Rita Iacò, Optimal bounds for integrals with respect to copulas and applications, Journal of Optimization Theory and Applications, 161, 999-1011, (2014). [bibtex] [doi]
[47]Iacó, Maria Rita, Low discrepancy sequences: theory and applications, PhD thesis, Università della Calabria, (2014). ((cotutelle with TU Graz)) [bibtex]
[46]Dijana Kreso, Rational function decomposition and Diophantine equations, PhD thesis, TU Graz, (2014). [bibtex] [url]
[45]Dijana Kreso and Michael E. Zieve, On factorizations of maps between curves, (2014). (preprint) [bibtex]
2015
[44]Iacò, M. R., Thonhauser, S. and Tichy, R. F., Distribution functions, extremal limits and optimal transport, Indag. Math. (N.S.), 26(5), 823–841, (2015). [bibtex] [doi]
[43]Dijana Kreso and Robert F. Tichy, Functional composition of polynomials: indecomposability, Diophantine equations and lacunary polynomials, Grazer Math. Ber., 363, 143–170, (2015). [bibtex]
[42]Barroero, Fabrizio, Algebraic $S$-integers of fixed degree and bounded height, Acta Arithmetica, 167(1), 67–90, (2015). [bibtex] [doi]
[41]Berkes, István and Tichy, Robert, Lacunary series and stable distributions, Chapter in Mathematical statistics and limit theorems, Springer, Cham, 7–19, (2015). [bibtex] [pdf]
[40]Berkes, István and Tichy, Robert, On permutation-invariance of limit theorems, J. Complexity, 31(3), 372–379, (2015). [bibtex] [doi]
[39]Balá\v z, Vladimír, Fialová, Jana, Hofer, Markus, Iacò, Maria R. and Strauch, Oto, The asymptotic distribution function of the 4-dimensional shifted van der Corput sequence, Tatra Mt. Math. Publ., 64, 75–92, (2015). [bibtex] [doi]
[38]Ante Ćustić, Lajos Hajdu, Dijana Kreso and Robert Tijdeman, On conjectures and problems of Ruzsa concerning difference graphs of S-units, Acta Math. Hungar., 146, 391-404, (2015). [bibtex] [doi]
[37]Elsholtz, Christian and Harper, Adam J., Additive decompositions of sets with restricted prime factors, Trans. Amer. Math. Soc., 367(10), 7403–7427, (2015). [bibtex] [doi]
[36]Iacò, Maria Rita, Paštéka, Milan and Tichy, Robert F., Measure density for set decompositions and uniform distribution, Rend. Circ. Mat. Palermo (2), 64(2), 323–339, (2015). [bibtex] [doi]
[35]Kreso, Dijana, On common values of lacunary polynomials at integer points, New York J. Math., 21, 987–1001, (2015). [bibtex] [html]
[34]Adrian-Maria Scheerer, Normality in Pisot numeration systems, Ergodic Theory and Dynamical Systems, 1-9, (2015). [bibtex] [doi]
2016
[33]Vladimir Balaz, Iacó, Maria Rita, Oto Strauch, Thonhauser, Stefan and Robert Tichy, An extremal problem in uniform distribution theory, Uniform distribution theory, 11(2), 1–21, (2016). [bibtex] [doi]
[32]Berkes, I. and Tichy, R., The Kadec-Pełczyński theorem in $L^p$, $1\leq p<2$, Proc. Amer. Math. Soc., 144(5), 2053–2066, (2016). [bibtex] [doi]
[31]Iacò, M. R., Steiner, W. and Tichy, R., Linear recursive odometers and beta-expansions, Unif. Distrib. Theory, 11(1), 175–186, (2016). [bibtex] [pdf]
[30]Dubickas, Art\=uras and Kreso, Dijana, Diophantine equations with truncated binomial polynomials, Indag. Math., 27(1), 392-405, (2016). [bibtex] [doi]
[29]Technau, Niclas and Widmer, Martin, On a Counting Theorem of Skriganov, (2016). [bibtex]
[28]Ddamulira, Mahadi, Luca, Florian and Rakotomalala, Mihaja, Fibonacci numbers which are products of two Pell numbers, The Fibonacci Quarterly, 54(1), 11-18, (2016). [bibtex] [html]
2017
[27]Ddamulira, Mahadi, Luca, Florian and Rakotomalala, Mihaja, On a problem of Pillai with Fibonacci numbers and powers of $2$, Proc. Indian Acad. Sci. (Math. Sci.), 127(3), 411-421, (2017). [bibtex] [doi]
[26]Elsholtz, Christian, Technau, Niclas and Tichy, Robert, On the regularity of primes in arithmetic progressions, Int. J. Number Theory, 13(5), 1349-1361, (2017). [bibtex] [doi]
[25]Kreso, Dijana, Diophantine equations in separated variables and lacunary polynomials, Int. J. Number Theory, 13(9), 2055-2074, (2017). [bibtex] [pdf] [doi]
[24]Michael Kerber, Robert Tichy and Mario Weitzer, Constrained Triangulations, Volumes of Polytopes, and Unit Equations, Chapter in 33rd International Symposium on Computational Geometry (SoCG 2017) (Boris Aronov, Matthew J. Katz, eds.), 77, 46:1–46:15, (2017). [bibtex] [doi]
[23]Aistleitner, Christoph, Becher, Verónica, Scheerer, Adrian-Maria and Slaman, Theodore A., On the construction of absolutely normal numbers, Acta Arith., 180(4), 333–346, (2017). [bibtex] [doi]
[22]Bennett, Michael A. and Scheerer, Adrian-Maria, Squares with three nonzero digits, Chapter in Number theory—Diophantine problems, uniform distribution and applications (C. Elsholtz, P. Grabner, eds.), Springer, Cham, 83–108, (2017). [bibtex] [doi]
[21]Kwok Chi Chim, Pink, István and Ziegler, Volker, On a variant of Pillai's problem, Int. J. Number Theory, 13, 1711-1727, (2017). [bibtex] [doi]
[20]Adrian-Maria Scheerer, Computable Absolutely Normal Numbers and Discrepancies, Math. Comp., 86, 2911-2926, (2017). [bibtex] [doi]
[19]Adrian-Maria Scheerer, On the continued fraction expansion of absolutely normal numbers, (2017). (preprint) [bibtex]
[18]Scheerer, Adrian-Maria, Dynamical systems and normal numbers – qualitative and computational aspects, PhD thesis, TU Graz, (2017). [bibtex]
[17]Technau, Marc and Technau, Niclas, A Loewner Equation for Infinitely Many Slits, Computational Methods and Function Theory, 17, 255-272, (2017). [bibtex] [doi]
2018
[16]Ddamulira, Mahadi, Gómez, Carlos A. and Luca, Florian, On a problem of Pillai with $k$–generalized Fibonacci numbers and powers of $2$, Monatshefte für Mathematik, (2018). [bibtex] [doi]
[15]Ddamulira, Mahadi and Luca, Florian, On the $x$-coordinates of Pell equations which are $k$-generalized Fibonacci numbers, (2018). (preprint) [bibtex]
[14]Kreso, Dijana and Tichy, Robert, Diophantine equations in separated variables, Period. Math. Hungar., 76(1), 47-67, (2018). [bibtex] [doi]
[13]Madritsch, Manfred, Scheerer, Adrian-Maria and Tichy, Robert, Computable absolutely Pisot normal numbers, Acta Arithmetica, 184(1), 7–29, (2018). [bibtex] [doi]
[12]Kwok Chi Chim, Linear forms in logarithms and applications to Diophantine problems, PhD thesis, TU Graz, (2018). [bibtex]
[11]Kwok Chi Chim, Pink, István and Ziegler, Volker, On a variant of Pillai's problem II, J. Number Theory, 183, (2018). [bibtex] [doi]
[10]Kwok Chi Chim and Volker Ziegler, On Diophantine equations involving sums of Fibonacci numbers and powers of 2, Integers, 18, Paper No. A99, 30, (2018). [bibtex]
[9]Niclas Technau, Diophantine approximation: Analytic and geometric methods, PhD thesis, TU Graz, (2018). [bibtex]
2019
[8]Elsholtz, Christian, Technau, Marc and Technau, Niclas, The maximal order of iterated multiplicative functions, Mathematika, 65(4), 990–1009, (2019). [bibtex] [url] [doi]
[7]Manfred G. Madritsch and Robert F. Tichy, Multidimensional van der Corput sets and small fractional parts of polynomials, Mathematika, 65(2), 400–435, (2019). [bibtex] [doi]
[6]Aistleitner, Christoph, Lachmann, Thomas and Technau, Niclas, There is no Khintchine threshold for metric pair correlations, Mathematika, 65(4), 929–949, (2019). [bibtex] [doi]
[5]Aistleitner, Christoph, Lachmann, Thomas, Munsch, Marc, Technau, Niclas and Zafeiropoulos, Agamemnon, The Duffin-Schaeffer Conjecture with Extra Divergence, Advances in Mathematics, 356, 106808, 11, (2019). [bibtex] [doi]
[4]Lachmann, Thomas and Technau, Niclas, On Exceptional Sets in the Metric Poissonian Pair Correlations problem, Monatshefte für Mathematik, 189(1), 137–156, (2019). [bibtex] [doi]
2020
[3]Mahadi Ddamulira, Diophantine Equations and Linearly Recurrent Sequences, PhD thesis, TU Graz, (2020). [bibtex]
2021
[2]Carsten Elsner and Niclas Technau, On linear relations for Dirichlet series formed by recursive sequences of second order, Journal of the Australian Mathematical Society, 110(3), 406–430, (2021). [bibtex] [doi]
[1]Robert Tichy, Ingrid Vukusic, Daodao Yang and Voker Ziegler, Integers representable as differences of linear recurrence sequences, Research in Number Theory, 7(2), Paper No. 24, 12, (2021). [bibtex] [doi]