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math.NT2023
On Finite Pseudorandom Binary Sequences: Functions from a Hardy field
Manfred G. Madritsch, Joël Rivat, Robert F. Tichy
We provide a construction of binary pseudorandom sequences based on Hardy fields as considered by Boshernitzan. In particular we give upper bounds for the well distri…
math.NT2023
Irreducibility properties of Carlitz' binomial coefficients for algebraic function fields
Robert Tichy, Daniel Windisch
We study the class of univariate polynomials , introduced by Carlitz, with coefficients in the algebraic function field over the finite field …
math.NT2023
Lacunary sequences in analysis, probability and number theory
Christoph Aistleitner, Istvan Berkes, Robert Tichy
In this paper we present the theory of lacunary trigonometric sums and lacunary sums of dilated functions, from the origins of the subject up to recent developments. We describe th…