Number Theoretic Algorithms and Related Topics

September 27 - October 1, 2004, Strobl (Austria)

Abstracts Submitted for NumbThAlgo 2004

• Shigeki Akiyama: Shift radix system, an intersection of symbolic dynamics and number systems
• Iskander Aliev: On Diophantine approximations with bounded denominator
• Pierre Arnoux: Algebraic numbers and automorphisms of free groups
• Guy Barat: On flows arising from digital functions
• Mathias Beiglböck: Topological methods in Ramsey theory
• Vitaly Bergelson: Generalized polynomials: from Weyl and van der Corput to dynamical systems on nilmanifolds
• Valérie Berthé: Fractals and substitutive dynamical systems
• Jürgen Bierbrauer: An asymptotic Gilbert-Varshamov bound for tms-nets
• Andras Biro: Tilings of the integers
• Horst Brunotte: Basic properties of shift radix systems
• Yann Bugeaud: Transcendental continued fractions
• Bernhard Burgstaller: Higher rank Cuntz-Krieger algebras
• Pietro Corvaja: Rational approximations to the powers of an algebraic number
• Gerhard Dorfer: On the fundamental group of the Sierpiński gasket
• Andrej Dujella: Newton's approximants and continued fractions
• Yves Edel: New families of $(t,m,s)$-nets related to BCH codes
• Henri Faure: On the star and the $L_2$ discrepancies of digital (0,1)-sequences in prime base
• Sophie Frisch: Ideal-theoretic properties of polynomial rings suggested by polynomial functions
• Clemens Fuchs: Applications of the Subspace Theorem
• Peter Grabner: Erdős measures and redundant digital expansion
• Jürgen Hartinger: Quasi Monte Carlo methods for unbounded integrands and its applications to financial mathematics
• Clemens Heuberger: Signed digit expansions in quadratic number fields with applications in cryptography
• Borka Jadrijevič: A family of quartic Thue inequalities
• Peter Kritzer: Two-dimensional point sets with low $L_{p}$ discrepency
• Pierre L'Ecuyer: Randomized Quasi-Monte Carlo simulation to estimate the distribution of the state of a transient Markov chain at each step
• Tanja Lange: Pseudorandom number generators based on elliptic curves
• Gunther Leobacher: A Brownian bridge construction for non-Gaussian processes
• Josef Leydold: Some remarks on F-discrepancy, numerical inversion and integration error
• Florian Luca: Lower bounds on orders of points on elliptic curves
• Gabriel Maresch: Some remarks on the extent of Hartman-measurable functions
• Christian Mauduit: Infinite automata and number theory
• Wilfried Meidl: On the linear complexity profile of explicit inversive pseudorandom number generators
• Michel Mendès-France: The diagonal of Cantor
• Harald Niederreiter: Character sums with application to pseudorandom numbers
• Attila Pethő: On the diophantine equation $G_n(x) = G_m(y)$ with $Q(x,y) = 0$
• Oliver Pfeiffer: Waring's problem with sum of digits congruence restrictions
• Friedrich Pillichshammer: Multivariante integration in weighted Hilbert spaces based on Walsh functions
• Joel Rivat: Sum of digits and exponential sums
• Klaus Scheicher: Two new kinds of digit system
• Rudolf Schürer: MinT - A web database for querying optimal $(t,m,s)$-net parameters
• Anne Siegel: Coverings associated with a substitution and arithmetic conditions for tilings
• Christian Steineder: Complexity of Hartman sequences
• Wolfgang Steiner: The local discrepancy of generalized van der Corput sequences
• Henning Stichtenoth: Towers of algebraic function fields
• Thomas Stoll: Newman's phenomenon for generalized Thue-Morse sequences
• Gerald Tenenbaum: Sums of digits of polynomial values
• Rob Tijdeman: Substitutions and multi-dimensional words
• Alev Topuzoglu: On the nonlinear pseudorandom number generators of higher orders
• Stephan Wagner: Enumeration problems for graphs
• Gary Walsh: Lucas sequences with rational roots
• Volker Ziegler: Relative Thue equations, Baker's method vs.\ hypergeometric method

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