Publications from the SFB in the different periods

Publications from 01.01.2019 until today

  1. Drmota M., Mauduit C., Rivat J.: The Thue Morse Sequence along Squares is Normal, Submitted. Pdf.
  2. Hales T., Kusner W.: Packings of Regular Pentagons in the Plane. In: Contemporary Mathematics, to appear. arXiv:1602.07220.
  3. Bors A.: Finite groups with an automorphism inverting, squaring or cubing a non-negligible fraction of elements. In: Journal of Algebra and Its Applications, 18(3), pp. 35, 2019. arXiv:1601.04311 + 1606.00635.
  4. Hinrichs A., Kritzer P., Pillichshammer F., and Wasilkowski G.W.: Truncation dimension for linear problems on multivariate function spaces. In: Numer.Alg., 80(2), pp. 661-685, 2019. arXiv:1701.06778
  5. Hellekalek P.: On the $3x+1$ problem. Submitted, 2016. arXiv:1605.02634.
  6. Madritsch M., Tichy R.: Multidimensional van der Corput sets. In: Mathematika, to appear. arXiv:1606.03049.
  7. Ghosh A., Marnat A.: On diophantine transference principles. In: Mathematical Proceedings of the Cambridge Philosophical Society, 166(3), pp. 415-431, 2019. arXiv:1610.02161.
  8. Kerber M., Tichy R., Weitzer M.: Constrained triangulations, volumes of polytopes and unit equations. In: 33rd International Symposium on Computational Geometry (SoCG 2017), pp. 46:1-46:15, 2017. arXiv:1609.05017.
  9. Aichinger I., Larcher G.: Sets of Bounded Remainder for the Billiard on a Square. In: Uniform Distribution Theory, 13(2), pp. 71-82, 2019. Pdf.
  10. Kritzer P. , Kuo F.Y., Nuyens D., Ullrich M.: Lattice rules with random $n$ achieve nearly the optimal $\mathcal{O}(n^{-\alpha-1/2})$ error independently of the dimension. In: Journal of Approximation Theory  240, 96-113, 2019. arxiv:1706.04502.
  11. Isik L., Winterhof A.: Carlitz rank and index of permutation polynomials. In: Finite Fields and Their Applications, 49(C), pp. 156-165, 2018. arXiv:1611.06361.
  12. Z. Sun, A. Winterhof: On the maximum order complexity of the Thue-Morse and Rudin-Shapiro sequence. In: International Journal of Computer Mathematics: Computer Systems Theory, 4(1), pp. 30-36, 2019. Pdf.
  13. Kritzer P., Pillichshammer F., Wasilkowski G.W.: Truncation in average and worst case settings for special classes of $\infty$-variate functions. In: Mathematics and Computers in Simulation 161, pp.52-65, 2019. arXiv:1709.02113.
  14. Luca F., Moree P., Osbum R., Saad Eddin S., Sedunova A.: Constrained ternary integers. In: International Journal of Number Theory, 15(2), pp. 407-431, 2019. arXiv:1710.08403.
  15. Hofer R., Puchhammer F.: On the discrepancy of two-dimensional perturbed Halton-Kronecker sequences and lacunary trigonometric products. In: Acta Arithmetica (180), pp. 365-392, 2017. Pdf.
  16. Hefter M., Herzwurm A., Müller-Gronbach Th.: Lower error bounds for strong approximation of scalar SDEs with non-Lipschitzian coefficients. In: Annuals of Applied Probability 29, pp. 178-216, 2019. arXiv:1710.08707.
  17. Kritzer P., Leobacher G., Szölgyenyi M., Thonhauser S.: Approximation methods for piecewise deterministic Markov processes and their Costs. In: Scandinavian Actuarial Journal 2019:4, 308-335, 2019. arXiv:1712.09201.
  18. Kiuchi I., Saad Eddin S.: Sums of weighted averages of gcd-sum functions II. In: Rocky Mountain Journal of Mathematics, to appear.  arXiv:1801.03653.
  19. Serdyuk A.S., Stepanyuk T.A.: Uniform approximations by Fourier sums on  classes of generalized Poisson integrals. In: Analysis Mathematica, 45 (1), pp. 201-236, 2019. Pdf.
  20. Brauchart J., Grabner P., Kusner W.: Hyperuniform point sets on the sphere: deterministic aspects. In: Constr. Approx., 50(1), pp. 45-61, 2019. arXiv: 1709.02613.
  21. Grabner P., Stepanyuk T.A.: Upper and lower estimates for numerical integration errors on spheres of arbitrary dimension. In: J. Complexity, 53, pp. 113-132, 2019. arXiv: 1801.05474.
  22. Pethő A., Thuswaldner J., Weitzer M.: Shift radix systems with general parameters. Submitted, 2017. arXiv:1711.09596.
  23. Grepstad S., Neumüller M.: Asymptotic Behaviour of the Sudler Product of Sines for Quadratic Irrationals. In: Journal of Mathematical Analysis and Applications, 465 (2), pp. 928-960, 2018.. arXiv:1801.09416.
  24. Kritzer P., Niederreiter H., Pillichshammer F.: Ian Sloan and Lattice Rules. In: Festschrift for Ian Sloan's 80th birthday, Springer, pp. 741-769, 2018. Link.
  25. Matsumoto K., Saad Eddin S.:  An asymptotic formula for the 2k-th power mean value of $|(L'/L)(1+it_0,\chi)|$. In: Journal of the Mathematical Society of Japan, to appear. arXiv:1803.00495.
  26. Pirsic I., Stockinger W.: The Champernowne constant is not Poissonian. In: Functiones et Approximatio Commentarii Mathematici, 60(2), pp. 253-262, 2019. arXiv:1710.09313.
  27. Larcher G., Stockinger W.: Pair correlation of sequences $(\left\{a_{n}\alpha\right\})_{n \varepsilon\mathbb{N}}$ with maximal order of additive energy. In: Mathematical Proceedings of the Cambridge Philosophical Society, to appear. arXiv:1802.02901.
  28. Larcher G., Stockinger W.: Some negative results related to Poissonian pair correlation problems. In: Discrete Mathematics, 2019., Link.
  29. Kiuchi I., Saad Eddin S.: On sums of logarithmic averages of gcd-sum functions. In: Results in Mathematics, to appear. arXiv:1804.01902.
  30. Ebert, A., Kritzer, P.: Constructing lattice points for numerical integration by a reduced fast successive coordinate search algorithm. In: Journal of Computational and Applied Mathematics, 351, pp. 77-100, 2019. arXiv:1804.01765.
  31. Kritzinger R., Pillichshammer F.: Digital nets in dimension two with the optimal order of $L_p$ discrepancy. In: J. Th. Nombres Bordeaux, 31(1), pp. 179-204, 2019. arXiv:1804.04891.
  32. Kiuchi I., Saad Eddin S.: On the unitary and bi-unitary analogues of generalized Ramanujan sums. In: Tbilisi Mathematical journal, to appear. Pdf.
  33. Kritzinger R.: Finding exact formulas for the $L_2$ discrepancy of digital $(0,n,2)$-nets via Haar functions. In: Acta Arithmetica, pp. 151-187, 2019. arXiv:1711.06058.
  34. Anbar Meidl N.: Shifted plateaued functions, Submitted, 2018. Pdf.
  35. Kritzer P., Wozniakowski H.: Simple characterizations of exponential tractability for linear multivariate problems. In: Journal of Complexity, to appear. arXiv: 1807.03055.
  36. Hofer R., Suzuki K.: A complete Classification of digital $(0,m,3)$-nets and digital $(0,2)$-sequences in base $2$. In: Uniform Distribution Theory, 14(1), pp. 43 -52, 2019. Pdf.
  37. Anbar Meidl N., Tutdere S.: Belyi's theorems in positive characteristic, Submitted, 2018. Pdf.
  38. Anbar Meidl N., Meidl W., Pott A.: Equivalence for negabent functions and their relative difference sets. In: Discrete Applied Mathematics, 270, pp.1-12, 2019. Pdf.
  39. Hofer R.: On hybrid point sets stemming from Halton-type Hammersley point sets and polynomial lattice point sets, Submitted, 2018. arXiv:1808.00706.
  40. Anbar Meidl N., Kasikci C., Topuzoglu A.: On components of vectorial permutations of $\mathbb{F}^{n}_{q}$. In: Finite Fields and their Applications, 58, pp. 124-132, 2019. Pdf.
  41. Hinrichs A., Kaltenböck L., Larcher G., Stockinger W., Ullrich M.: On a multi-dimensional Poissonian pair correlation concept and uniform distribution. In: Monatshefte für Mathematik, 190(2), pp. 333 - 352, 2019.  arXiv:1809.05672.
  42. Hinrichs A., Pillichshammer F., Tezuka S.: Tractability properties of the weighted star discrepancy of the Halton sequence. In: J. Comput. Appl. Math. 350, pp. 46-54, 2019. arXiv:1803.06101.
  43. Moree P., Saad Eddin S., Sedunova A., Suzuki Y.: Jordan totient quotients. In: Journal of number Theory, 209, pp. 147-166, 2020.
  44. Hofer R.: A lower bound on the star discrepancy of generalized Halton sequences in rational bases. In: Proceedings of the American Mathematical Society 147(11), pp. 4655-4664, 2019. arXiv:1810.12671.
  45. Hickernell, F.J., Kritzer, P., Wozniakowski, H.: Exponential tractability of linear tensor product problems. In: 2018 MATRIX Annals (D.R. Woods, J. DeGier, C. Praeger, T. Tao, eds.), Springer, to appear. arXiv:1811.05856.
  46. Kiuchi I., Pillichshammer F., Saad Eddin S.: On the multivariable generalization of Anderson-Apostol sums, Submitted, 2018. arXiv:1811.06022.
  47. Gnewuch M., Hefter M., Hinrichs A., Ritter K., Wasilkowski G.W.: Embeddings for Infinite-Dimensional Integration and L2-Approximation with Increasing Smoothness. In: J. Complexity, 54, 101406, 32 pp., 2019. arXiv:1809.07103.
  48. Hinrichs A., Prochno J., Ullrich M., Vybiral J.: The minimal k-dispersion of point sets in high-dimensions. In: J. Complexity, 51, pp. 68-78, 2019. arXiv:1807.01492.
  49. Hinrichs A., Prochno J., Ullrich M.: The curse of dimensionality for numerical integration on general domains. In: J. Complexity, 50, pp. 25-42, 2019. arXiv:1804.03957.
  50. Müller P.F.X., Passenbrunner M.: Almost everywhere convergence of spline sequences. In: Israel J. Math., to appear. arXiv:1711.01859.
  51. Passenbrunner M.: Spline characterizations of the Radon-Nikodym property, In: Proc. Amer. Soc., 2019., Link.
  52. Keryan K., Passenbrunner M.: Projection operators onto spaces of Chebyshev splines, Submitted, 2018. arXiv:1807.07161.
  53. Kritzer P., Pillichshammer F., Plaskota L., Wasilkowski G.W.: On efficient weighted integration via a change of variables. Submitted, 2018. arXiv:1812.04259.
  54. Geiss C., Steinicke A.: Existence, Uniqueness and Malliavin Differentiability of Lévy-driven BSDEs with Locally Lipschitz Driver, Submitted, 2018. arXiv:1805.05851.
  55. Geiss C., Steinicke A.: Existence, Uniqueness and Comparison Results for BDSEs with Lévy Jumps in an Extended Monotonic Generator Setting, In: Probability, Uncertainty and Quantitative Risk, to appear, arXiv:1711.01449.
  56. Cristea L.L., Leobacher G.: Supermixed labyrinth fractals, In: Journal of Fractal Geometry, to appear, arXiv:1802.05461.
  57. Aistleitner C., Mahatab K., Munsch M., Peyrot A.: On large values of L(σ,χ). In: Q. J. Math., pp. 831-848, 2019. arXiv:1803.00760
  58. Leobacher G., Steinicke A.: Existence, Uniqueness and Regularity of the Projection onto Differentiable Manifolds, Preprint, 2018, arXiv:1811.10578.
  59. Aistleitner ., Becher V., Carton O.: Normal numbers with digit dependencies. In: Trans. Amer. Math. Soc., 372(6), pp. 4425-4446, 2019. arXiv: 1804.02844.
  60. Ebert A., Kritzer P, Nuyens. D.: Constructing QMC finite element methods for elliptic PDEs with random coefficients by a reduced CBC construction. In: P. L'Ecuyer, B. Tuffin (eds.), Monte Carlo and Quasi-Monte Carlo Methods 2018, Springer, Cham, to appear. arXiv:1902.11068.
  61. Anbar Meidl N.: Curves over Finite Fields and Permutations of the Form $x^k - \gamma Tr(x)$, In: Turkish Journal of Mathematics, 43, pp. 533-538, 2019. Pdf.
  62. Anbar Meidl N., Stichtenoth H., Tutdere S.: Asymptotically good towers of function fields with small $p$-rank, Submitted, 2019. Pdf.
  63. Aistleitner Ch., Lachmann T., Technau N.: There is no Khintchine threshold for metric pair correlations, In: Mathematika, 65(4), pp. 929-949, 2019, arXiv:1802.02659.
  64. Aistleitner, Thomas Lachmann, Marc Munsch, Niclas Technau, Agamemnon Zafeiropoulos: The Duffin-Schaeffer conjecture with extra divergence, In: Advances in Mathematics, 356, to appear, 2019. arXive:1803.05703.
  65. Aistleitner, Valentin Blomer, Maksym Radziwill: Triple correlation and long gaps in the spectrum of flat tori, submitted, 2018, arXiv:1809.07881.
  66. Grabner P., Stepanyuk T.A.: Comparison of probabilistic and deterministic point sets. In: J.Approx.Theory, to appear. arXiv:1803.08901.
  67. Serdyuk, A. S., Stepanyuk T.A.: Lebesque-type inequalities for the Fourier sums on classes of generalized Poisson integrals. In: Bulletin de la Soc. Sci. Lettres Lodz. Ser. Rech. Deform, to appear. arXiv:1804.05722.
  68. Kaltenböck L., Larcher G.: On bounded remainder intervals and strongly non-bounded remainder intervals for sequences $({a_n \alpha})_{n \geq 1}$. In: J. Number Theory, to appear. Link.
  69. Grepstad S., Kaltenböck L., Neumüller M.: A positive lower bound for $\liminf_{N\to\infty} \prod_{r=1}^N \left| 2\sin \pi r \varphi \right|$. In: Proceedings of the AMS, 147 (11), pp. 4863-4876, 2019. arXiv:1810.02301.
  70. Stepanyuk, T.A.: Order estimates of best orthogonal trigonometric approximations of classes of infinitely differentiable functions. In: Trigonometric Sums and Their Applications (A.M. Raigorodskii, M. Th. Rassias, eds.), Springer, Berlin, to appear.  arXiv:1812.06475.
  71. Stepanyuk, T.A.: Hyperuniform point sets on flat tori: deterministic and probabilistic aspects. Submitted, 2019. arXiv:1902.02973.
  72. Lemieux C., Wiart J.: On the dependence structure of scrambled (t, m, s)-nets. Submitted, 2019. arXiv:1903.09877
  73. Ding, Y., Hickernell, F.J., Kritzer, P., Mak, S.: Adaptive Approximation for multivariate linear problems with inputs lying in a cone. In: Multivariate Algorithms and Infomation-Based Complexity (F.J. Hickernell and P. Kritzer, eds.), DeGruyter, Berlin/Boston, to appear, 2019. arXiv:1903.10738.
  74. Kritzinger R., Pillichshammer F.: Lower bounds on the $L_p$ discrepancy of digital NUT sequences. In: Proceedings of the MCQMC, to appear. arXiv:1904.01433.
  75. Kritzinger R., Passenbrunner M.: Extremal distributions of discrepancy functions. In: J. Complexity, 54, pp. 95 - 112, 2019. arXiv:1902.09877.
  76. Grepstad S., Kaltenböck L., Neumüller M.: On the asymptotic behaviour of the sine product $\prod_{r=1}^n |2 \sin(\pi r \alpha )|$. In: D. Bilyk, J. Dick, F. Pillichshammer (Eds.) Discrepancy theory, Radon Series on Computational and Applied Mathematics, to appear.
  77. Mérai L., Shparlinski E.: Sparsity of curves and additive and multiplicative expansion of rational maps over finite fields. In: Acta Arith., 188, pp. 401-411, 2019. doi:10.4064/aa180307-20-8.
  78. Desmettre S., Laudagé C., Wenzel J.: Severity modeling of extreme insurance claims for tariffication. In: Insurance: Mathematics and Economics, vol.88, pp. 77-92, 2019. .
  79. Bock W., Desmettre S., Da Silva J.L.: Integral Representation of Generalized Grey Brownian Motion, In: Stochastics, online, 2019.
  80. Languasco A., Moree P., Saad Eddin S., Sedunova A.: Computation of the Kummer ratio of the class number for prime cyclotomic fields, Submitted, 2019. arXiv:1908.01152.
  81. Inoue S., Saad Eddin S., Suriajaya A.I.: Stieltjes constants of $L$-functions in the extended Selberg class, Submitted, 2019. PDF.
  82. Saad Eddin S., Suzuki Y.: On the distribution of products of two primes. In: Journal of Number Theory, to appear. arXiv:1908.09503.
  83. Hofer R., Kaltenböck L.: Multi-Dimensional Pair Correlations of Faure and Halton Sequences are not Poissonian, Submitted, 2019. PDF.
  84. Serdyuk A., Stepaniuk T.: Asymptotically best possible Lebesque-type inequalities for the Fourier sums on sets of generalized Poisson integrals. Submitted, 2019. arXiv:1908.09517.
  85. Pillichshammer F.: Discrepancy of Digital Sequences: New Results on a Classical QMC Topic. In: Monte Carlo and Quasi-Monte Carlo Methods 2018. (B. Tuffin and P. L'Ecuyer eds.), Springer, Berlin Heidelberg New York, to appear arXiv:1904.10346
  86. Kritzer P., Pillichshammer F., Plaskota L., Wasilkowski G. W.: On alternative quantization for doubly weighted approximation and integration over unbounded domains, Submitted, 2019. arXiv:1907.04015
  87. Pillichshammer F., Sonnleitner M.: A note on isotropic discrepancy and spectral test of lattice point sets. In: J. Complexity, to appear. arXiv:1907.06435
  88. Dick J., Hinrichs A., Pillichshammer F., Prochno J.: Tractability properties of the discrepancy in Orlicz norm. In: Journal of Complexity, to appear. arXiv:1910.12571.
  89. Hinrichs A., Krieg D., Novak E., Prochno J., Ullrich M.: Random sections of ellipsoids and the power of random information, Submitted, 2019. arXiv:1901.06639.
  90. Hinrichs A., Krieg D., Novak E., Prochna J., Ullrich M.: On the power of random information, Submitted, 2019. arXiv:1903.00681.
  91. Breneis S., Hinrichs A.: Fibonacci lattices have minimal dispersion on the two-dimensional torus, to appear. arXiv:1905.03856.
  92. Keryan K., Passenbrunner M.: Unconditionality of periodic orthonormal spline systems in $L^p$. In: Studia Math., 248(1), pp. 57-91, 2019. arXiv:1708.09294.
  93. Passenbrunner M., Prochno J.: On almost everywhere convergence of tensor product spline projections. In: Michigan Math. J., 68(1), pp. 3-17, 2019. arXiv:1310.6505.
  94. Passenbrunner M.: Martingale inequalities for spline sequences. In: Positivity, Springer, 21 pp., 2019., Link.
  95. Krieg D.: Optimal Monte Carlo methods for $L_2$-approximation. In: Constructive Approximation, 49(2), pp. 385–403, 2019. arXiv:1705.04567.
  96. Krieg D.: Uniform recovery of high-dimensional $C^r$-functions. In: Journal of Complexity, 50, pp. 116–126, 2019. arXiv:1805.06220.
  97. Krieg D., Rudolf D.: Recovery algorithms for high-dimensional rank one tensors. In: Journal of Approximation Theory, 237, pp. 17–29, 2019. arXiv:1711.03986.
  98. Krieg D., Ullrich M.: Function values are enough for $L_2$-approximation, Submitted, 2019. arXiv:1905.02516.
  99. Coskun S., Desmettre S., Korn R.: Application of the Heath-Platten Estimator in the Fong-Vasicek Short Rate Model, In: The Journal of Computational Finance, 23(1), 1-24, 2019.
  100. Ebert A., Kritzer P., Nuyens D., Osisiogu O.: Digit-by-digit and component-by-component constructions of lattice rules for periodic functions with unknown smoothness, Submitted, 2020.   arXiv:2001.02978v1 
  101. Serdyuk A.S., Stepanyuk T.: Uniform approximations by Fourier sums on classes of convolutions of periodic functions, Submitted, 2020. arXiv:2001.00374v1
  102. P. Kritzer, F. Pillichshammer, G.W. Wasilkowski: On quasi-Monte Carlo methods in weighted ANOVA spaces. Submitted, 2020. arXiv:200105765.
  103. Dick J., Hinrichs A., Pillichshammer F.: A note on the periodic $L_2$-discrepancy of Korobov's $p$-sets. In: Arch. Math., to appear. 2020.  arXiv:2001.01973.
  104. Kritzer P., Pillichshammer F., Wozniakowski H.: Exponential tractability of linear weighted tensor product problems in the worst-case setting for arbitrary linear functionals, Submitted, 2020. arXiv:2001.11740v1
  105. Leonetti P.: Characterizations of the Ideal Core. In: J. Math. Anal. Appl., 477: 1063-1071, 2019.
  106. Leonetti P., Tringali S.: On Small Sets of Integers, Submitted, 2020. arXiv:1905.08075v2
  107. Leonetti P., Sanna, C.: Practical numbers among the binomial coefficients. In: J. Number Theory, 207: 145-155, 2020.
  108. Leonetti P., Schweiger J.:The general linear equation on open connected sets. In: Acta Math. Hungar., to appear,2020.  arXiv:1905.13541v1
  109. Leonetti P., Sanna C.: Directions sets: A generalization of ratio sets. Bull, In: Austral. Math. Soc., to appear,2020.  arXiv:1907.11877v1
  110. Balcerzak M., Leonetti P.: A Tauberian theorem for ideal statistical convergence. In: Indag. Math. to appear,2020. arXiv:1908.04853v1
  111. Aistleitner C., Lachmann T., Leonetti P., Minelli P.: On the number of gaps of sequences with Poissonian Pair Correlations, Submitted, 2020. arXiv:1908.06292
  112. Battigalli P., Leonetti P., Maccheroni F.: Behavioral Equivalence of Extensive Game Structures. In: Games and Econom. Behav., to appear, 2020. arXiv:1911.02918v1
  113. Pollington A., Velani S., Zafeiropoulos, Zorin E.: Inhomogeneous Diophantine Approximation on M_0-sets with restricted denominators, Submitted, 2020. arXiv:1906.01151
  114. Technau M., Zafeiropoulos A.: Metric results on summatory arithmetic functions on Beatty sets, Submitted, 2020. arXiv:1907.06050
  115. Aistleitner C., D'Angeli D., Gutierrez A., Rodaro E., Rosenmann A.: Circular automata synchronize with high probability, Submitted, 2020. arXiv:1906.02602
  116. Aistleitner C., Baker S.: On the pair correlations of powers of real numbers, Submitted, 2020. arXiv:1910.01437
  117. Bhattacharya S.: Levels of the factor of holomorphic eta quotients, Submitted, 2020.



Publications in the period 01.01.2018-31.12.2018: list

Publications in the period 01.01.2017-31.12.2017: list

Publications in the period 01.01.2016-31.12.2016: list

Publications in the period 01.01.2015-31.12.2015: list

Publications in the period 01.02.2014-31.12.2014: list

Books in the period 01.02.2018 until today:

  1. Dick J., Bilyk D., Pillichshammer F. (eds.): Discrepancy Theory. Radon Series on Computational and Applied Mathematics (26), De Gruyter, Berlin, 2020. ISBN: 978-3-11-065115-7


Books in the period 01.02.2014-31.01.2018:

  1. Saad Eddin S.: Two problems with Laurent-Stieltjes coefficients. LAP Lambert Academic Publishing. 2017.
  2. Kritzer P., Niederreiter H., Pillichshammer F., Winterhof A. (eds.): Uniform Distribution and Quasi-Monte Carlo Methods: Discrepancy, Integration and Applications. Radon Series on Computational and Applied Mathematics (15) Berlin. 2014.
  3. Larcher G., Pillichhammer F., Winterhof A., Xing C. (eds.): Applied Algebra and Number Theory. Essays in honor of Harald Niederreiter on the occasion of his 70th birthday. Cambridge: Cambridge University Press, 2014.
  4. Leobacher G., Pillichshammer F.: Introduction to Quasi-Monte Carlo Integration and Applications. Birkhäuser. 2014.
  5. Niederreiter H., Ostafe A., Panario D., Winterhof A. (eds.) Algebraic Curves and Finite Fields: Cryptography and Other Applications. Radon Series on Computational and Applied Mathematics (16), De Gruyter, Berlin. 2014.
  6. Schmidt K.-U., Winterhof A. (eds.): Sequences and Their Applications-SETA 2014. Lecture Notes Computer Science: Springer. 2014.
  7. Niederreiter H., Winterhof A.: Applied Number Theory, Berlin: Springer. 2015.
  8. Elsholtz C. and Grabner P.J. (eds): Number Theory – Diophantine Problems, Uniform Distribution and Applications. Festschrift on the occasion of Robert Tichy's 60th birthday. Springer, 2017.

PhD Theses in the period 01.02.2018 until today:

  • Mario Neumüller: Two Contemporary Issues in Number Theory: Sequences with Low Star Discrepancy and the Asymptotic Behaviour of the Sudler Product. 2019. (Supervisor: Friedrich Pillichshammer) Pdf.


PhD Theses in the period 01.02.2014-31.01.2018:

  • Michaela Szölgyenyi: Dividend Maximization in Hidden Markov Models and Analysis of Associated Stochastic Differential Equations. 2015. (Supervisor: Gunther Leobacher and Stefan Thonhauser) Link.
  • Ralph Kritzinger: Point sets and sequences with the optimal order of Lp<math xmlns=""><msub><mi>L</mi><mi>p</mi></msub></math> discrepancy. 2017. (Supervisor: Friedrich Pillichshammer) Pdf.
  • Florian Puchhammer: Discrepancy estimates for point sets and sequences. 2017. (Supervisor: Gerhard Larcher) Pdf.
  • Richard Hofer: New Bounds on Some Measures of Pseudorandomness. 2017. (Supervisor: Arne Winterhof) Pdf.
  • Helene Laimer. High-dimensional algorithms - Tractability and componentwise constructions. 2017. (Supervisor: Peter Kritzer) Pdf.