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

[90]Daodao Yang, A note on log-type GCD sums and derivatives of the Riemann zeta function, (2022). (submitted) [bibtex]
[89]Daodao Yang, Extreme values of derivatives of the Riemann zeta function, Mathematika, 68, 486-510, (2022). [bibtex] [doi]
[88]Robert Tichy, Ingrid Vukusic, Daodao Yang and Volker Ziegler, On a variant of Pillai's problem with transcendental numbers, Acta Mathematica Hungarica, (2022). [bibtex] [doi]
[87]Paolo Minelli, On Diophantine approximation, a conjecture of Ito on Dedekind sums and Poissonian pair correlation of sequences, PhD thesis, TU Graz, (2022). [bibtex]
[86]Paolo Minelli, On small fractional parts of polynomial-like functions, Monatshefte f. Mathematik, 197, 319-332, (2022). [bibtex] [doi]
[85]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]
[84]Christoph Aistleitner, Thomas Lachmann, Paolo Leonetti and Paolo Minelli, On the number of gaps of sequences with Poissonian Pair Correlations, Discrete Mathematics, 344, 112555:1-13, (2021). [bibtex] [doi]
[83]Paolo Minelli, On small fractional parts of perturbed polynomials, Int. J. Number Theory, (2021). (to appear) [bibtex]
[82]Michael Kerber, Robert Tichy and Mario Weitzer, Constrained Triangulations, Volumes of Polytopes, and Unit Equations, Publicationes Mathematicae Debrecen, 99, 69–99, (2021). [bibtex]
[81]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]
[80]M. Ddamulira and F. Luca, On the exponential Diophantine equation related to powers of two consecutive terms of Lucas sequences, The Ramanujan Journal, 56, 651-684, (2021). [bibtex] [doi]
[79]M. Ddamulira, Padovan numbers that are concatenations of two distinct repdigits, Math. Slovaca, 71, 275-284, (2021). [bibtex] [doi]
[78]T. P. Chalebgwa and M. Ddamulira, Padovan numbers which are palindromic concatenations of two distinct repdigits, RACSAM (Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat.), 115, 108:1–14, (2021). [bibtex] [doi]
[77]Mahadi Ddamulira, Diophantine Equations and Linearly Recurrent Sequences, PhD thesis, TU Graz, (2020). [bibtex] [url]
[76]M. Ddamulira and F. Luca, On the problem of Pillai with $k$-generalized Fibonacci numbers and powers of 3, International Journal of Number Theory, World Scientific Publishing, 16, 1643-1666, (2020). [bibtex] [doi]
[75]M. Ddamulira and F. Luca, The $x$-coordinates of Pell equations and sums of two Fibonacci numbers II, Proc. Indian Academy of Sciences: Mathematical Sciences, Springer (India) Private Ltd., 130, 58:1–21, (2020). [bibtex] [url] [doi]
[74]M. Ddamulira and F. Luca, On the $x$-coordinates of Pell equations which are $k$-generalized Fibonacci numbers, Journal of Number Theory, 207, 156-195, (2020). [bibtex] [doi]
[73]M. Ddamulira, Tribonacci numbers that are concatenations of two repdigits, Rev. Real Acad. Ciencias Exactas, Fisicas y Naturales / Serie A, Matematicas (RACSAM), Springer, 114, 203:1–10, (2020). [bibtex] [doi]
[72]M. Ddamulira, On the $x$-coordinates of Pell equations that are products of two Padovan numbers, Integers, 20, #A70:1-20, (2020). [bibtex] [pdf]
[71]M. Ddamulira, On a problem of Pillai with Fibonacci numbers and powers of 3, Boletín de la Sociedad Matemática Mexicana, Springer, 26, 263-277, (2020). [bibtex] [doi]
[70]M. Ddamulira, Repdigits as sums of three Padovan numbers, Boletín de la Sociedad Matemática Mexicana, Springer, 26, 247-261, (2020). [bibtex] [doi]
[69]M. Ddamulira, Repdigits as sums of three balancing numbers, Mathematica Slovaca, deGruyter, 70, 557-566, (2020). [bibtex] [url] [doi]
[68]M. Ddamulira, On the $x$-coordinates of Pell equations that are products of two Lucas numbers, The Fibonacci Quarterly, 58, 18-37, (2020). [bibtex] [doi]
[67]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]
[66]Thomas Lachmann and Niclas Technau, On Exceptional Sets in the Metric Poissonian Pair Correlations problem, Monatshefte für Mathematik, 189(1), 137–156, (2019). [bibtex] [doi]
[65]Christian Elsholtz and Christopher Frei, Arithmetic progressions in binary quadratic forms and norm forms, Bulletin of the London Mathematical Society, 51(4), 595–602, (2019). [bibtex] [doi]
[64]Christian Elsholtz, Marc Technau and Niclas Technau, The maximal order of iterated multiplicative functions, Mathematika, 65(4), 990–1009, (2019). [bibtex] [doi]
[63]M. Ddamulira, On the problem of Pillai with Padovan numbers and powers of 3, Studia Scientiarum Mathematicarum Hungarica, 56, 364-379, (2019). [bibtex] [url] [doi]
[62]M. Ddamulira, On the problem of Pillai with Tribonacci numbers and powers of 3, Journal of Integer Sequences, 22(5), 6:1-14, (2019). [bibtex] [pdf]
[61]Christoph Aistleitner, Thomas Lachmann and Niclas Technau, There is no Khintchine threshold for metric pair correlations, Mathematika, 65(4), 929–949, (2019). [bibtex] [doi]
[60]Christoph Aistleitner, Thomas Lachmann, Marc Munsch, Niclas Technau and Agamemnon Zafeiropoulos, The Duffin-Schaeffer Conjecture with Extra Divergence, Advances in Mathematics, 356, 106808, 11, (2019). [bibtex] [doi]
[59]Niclas Technau, Diophantine approximation: Analytic and geometric methods, PhD thesis, TU Graz, (2018). [bibtex] [url]
[58]Manfred Madritsch, Adrian-Maria Scheerer and Robert Tichy, Computable absolutely Pisot normal numbers, Acta Arithmetica, 184(1), 7–29, (2018). [bibtex] [doi]
[57]Dijana Kreso and Robert Tichy, Diophantine equations in separated variables, Periodica Mathematica Hungarica, 76(1), 47-67, (2018). [bibtex] [doi]
[56]Gregory Derfel, Peter J. Grabner and Robert F. Tichy, On the asymptotic behaviour of the zeros of solutions of one functional-differential equation with rescaling, Chapter in Indefinite Inner Product Spaces, Schur Analysis, and Differential Equations, Springer, 281–295, (2018). [bibtex]
[55]Mahadi Ddamulira, Carlos A. Gómez and Florian Luca, On a problem of Pillai with $k$-generalized Fibonacci numbers and powers of $2$, Monatshefte für Mathematik, 187, 635-664, (2018). [bibtex] [doi]
[54]Kwok Chi Chim and Volker Ziegler, On Diophantine equations involving sums of Fibonacci numbers and powers of 2, Integers, 18, # A99, 1–30, (2018). [bibtex] [pdf]
[53]Kwok Chi Chim, Linear forms in logarithms and applications to Diophantine problems, PhD thesis, TU Graz, (2018). [bibtex] [url]
[52]Kwok Chi Chim, István Pink and Volker Ziegler, On a variant of Pillai's problem II, Journal of Number Theory, 183, (2018). [bibtex] [doi]
[51]Marc Technau and Niclas Technau, A Loewner Equation for Infinitely Many Slits, Computational Methods and Function Theory, 17, 255-272, (2017). [bibtex] [doi]
[50]Adrian-Maria Scheerer, Dynamical systems and normal numbers – qualitative and computational aspects, PhD thesis, TU Graz, (2017). [bibtex] [url]
[49]Adrian-Maria Scheerer, Computable Absolutely Normal Numbers and Discrepancies, Mathematics of Computation, 86, 2911-2926, (2017). [bibtex] [doi]
[48]Adrian-Maria Scheerer, On the continued fraction expansion of absolutely normal numbers, (2017). (preprint) [bibtex]
[47]Dijana Kreso, Diophantine equations in separated variables and lacunary polynomials, Int. J. of Number Theory, 13(9), 2055-2074, (2017). [bibtex] [doi]
[46]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]
[45]Number theory—Diophantine problems, uniform distribution and applications, (Christian Elsholtz, Peter Grabner, eds.), Springer, xv+444, (2017). (Festschrift in honour of Robert F. Tichy's 60th birthday) [bibtex] [doi]
[44]Christian Elsholtz, Niclas Technau and Robert Tichy, On the regularity of primes in arithmetic progressions, International Journal of Number Theory, 13(5), 1349-1361, (2017). [bibtex] [doi]
[43]Mahadi Ddamulira, Florian Luca and Mihaja Rakotomalala, 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]
[42]Kwok Chi Chim, István Pink and Volker Ziegler, On a variant of Pillai's problem, International Journal of Number Theory, 13, 1711-1727, (2017). [bibtex] [doi]
[41]Michael A. Bennett and Adrian-Maria Scheerer, Squares with three nonzero digits, Chapter in Number theory—Diophantine problems, uniform distribution and applications (C. Elsholtz, P. Grabner, eds.), Springer, 83–108, (2017). [bibtex] [doi]
[40]Christoph Aistleitner, Verónica Becher, Adrian-Maria Scheerer and Theodore A. Slaman, On the construction of absolutely normal numbers, Acta Arithmetica, 180(4), 333–346, (2017). [bibtex] [doi]
[39]Niclas Technau and Martin Widmer, On a Counting Theorem of Skriganov, (2016). (Technical Report) [bibtex]
[38]M. R. Iacò, W. Steiner and R. Tichy, Linear recursive odometers and beta-expansions, Uniform Distribution Theory, 11(1), 175–186, (2016). [bibtex] [pdf]
[37]Christopher Frei and Martin Widmer, Schanuel's theorem for heights defined via extension fields, 15, 355–398, (2016). [bibtex]
[36]Artūras Dubickas and Dijana Kreso, Diophantine equations with truncated binomial polynomials, Indag. Math., 27(1), 392-405, (2016). [bibtex] [doi]
[35]M. Ddamulira, F. Luca and M. Rakotomalala, Fibonacci Numbers which are products of two Pell Numbers, The Fibonacci Quarterly, 54, 11-18, (2016). [bibtex]
[34]Mahadi Ddamulira, Florian Luca and Mihaja Rakotomalala, Fibonacci numbers which are products of two Pell numbers, The Fibonacci Quarterly, 54(1), 11-18, (2016). [bibtex] [html]
[33]I. Berkes and R. Tichy, The Kadec-Pełczyński theorem in $L^p$, $1\leq p<2$, Proceedings of the American Mathematical Society, 144(5), 2053–2066, (2016). [bibtex] [doi]
[32]Vladimir Balaz, Maria Rita Iacò, Oto Strauch, Stefan Thonhauser and Robert Tichy, An extremal problem in uniform distribution theory, Uniform distribution theory, 11(2), 1–21, (2016). [bibtex] [doi]
[31]Adrian-Maria Scheerer, Normality in Pisot numeration systems, Ergodic Theory and Dynamical Systems, 37, 664-672, (2015). [bibtex] [doi]
[30]Dijana Kreso and Robert F. Tichy, Functional composition of polynomials: indecomposability, Diophantine equations and lacunary polynomials, Grazer Mathematische Berichte, 363, 143–170, (2015). [bibtex]
[29]Dijana Kreso, On common values of lacunary polynomials at integer points, New York Journal of Mathematics, 21, 987–1001, (2015). [bibtex] [html]
[28]M. R. Iacò, S. Thonhauser and R. F. Tichy, Distribution functions, extremal limits and optimal transport, Koninklijke Nederlandse Akademie van Wetenschappen, 26(5), 823–841, (2015). [bibtex] [doi]
[27]Maria Rita Iacò, Milan Paštéka and Robert F. Tichy, Measure density for set decompositions and uniform distribution, Rendiconti del Circolo Matematico di Palermo. Second Series, 64(2), 323–339, (2015). [bibtex] [doi]
[26]Ante Ćustić, Lajos Hajdu, Dijana Kreso and Robert Tijdeman, On conjectures and problems of Ruzsa concerning difference graphs of S-units, Acta Mathematica Hungarica, 146, 391-404, (2015). [bibtex] [doi]
[25]István Berkes and Robert Tichy, On permutation-invariance of limit theorems, Journal of Complexity, 31(3), 372–379, (2015). [bibtex] [doi]
[24]István Berkes and Robert Tichy, Lacunary series and stable distributions, Chapter in Mathematical statistics and limit theorems, Springer, 7–19, (2015). (P. Deheuvels festschrift) [bibtex] [pdf]
[23]Fabrizio Barroero, Algebraic $S$-integers of fixed degree and bounded height, Acta Arithmetica, 167(1), 67–90, (2015). [bibtex] [doi]
[22]Vladimír Baláž, Jana Fialová, Markus Hofer, Maria Rita Iacò and Oto Strauch, The asymptotic distribution function of the 4-dimensional shifted van der Corput sequence, Tatra Mountains Mathematical Publications, 64, 75–92, (2015). [bibtex] [doi]
[21]Dijana Kreso and Michael E. Zieve, On factorizations of maps between curves, (2014). (preprint) [bibtex]
[20]Dijana Kreso, Rational function decomposition and Diophantine equations, PhD thesis, TU Graz, (2014). [bibtex] [url]
[19]Maria Rita Iacò, Low discrepancy sequences: theory and applications, PhD thesis, Università della Calabria, (2014). ((cotutelle with TU Graz)) [bibtex] [url]
[18]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]
[17]Ingrid Carbone and Maria Rita Iacò, A dynamical system approach to the Kakutani-Fibonacci sequence, Ergodic Theory and Dynamical Systems, 34(6), 1794–1806, (2014). [bibtex] [doi]
[16]Fabrizio Barroero and Martin Widmer, Counting lattice points and o-minimal structures, International Mathematics Research Notices, 2014, 4932-4957, (2014). [bibtex] [doi]
[15]Fabrizio Barroero, Counting algebraic integers of fixed degree and bounded height, Monatshefte für Mathematik, 175, 25-41, (2014). [bibtex] [doi]
[14]Dijana Kreso and Csaba Rakaczki, Diophantine equations with Euler polynomials, Acta Arithmetica, 161, 267–281, (2013). [bibtex] [doi]
[13]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]
[12]Fabrizio Barroero, Counting lattice points, o-minimal structures and applications, PhD thesis, TU Graz, (2013). [bibtex] [url]
[11]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]
[10]Christoph Aistleitner, István Berkes and Robert Tichy, Analytic and probabilistic methods in number theory, In , TEV, 1-18, (2012). (Proceedings of the 5th International Conference in honour of J. Kubilius held in Palanga) [bibtex]
[9]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] [doi]
[8]Christoph Aistleitner, István Berkes and Robert Tichy, On permutations of lacunary series, Chapter in Functions in number theory and their probabilistic aspects, Res. Inst. Math. Sci. (RIMS), Kyoto, B34, 1-25, (2012). [bibtex] [url]
[7]Christopher Frei, Sum of units in number fields and function fields, PhD thesis, TU Graz, (2011). [bibtex] [url]
[6]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), 151-165, (2011). [bibtex]
[5]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]
[4]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]
[3]Christoph Aistleitner, István Berkes and Robert Tichy, On permutations of Hardy-Littlewood-Pólya sequences, Transactions of the American Mathematical Society, 363, 6219-6244, (2011). [bibtex] [doi]
[2]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]
[1]Christoph Aistleitner, István Berkes and Robert Tichy, Lacunary sequences and permutations, In Dependence in Probability, Analysis and Number Theory (István Berkes, others, eds.), Kendrick Press, 35-49, (2010). [bibtex]