Uniform distribution of sequences of integers in residue classes

zbMath0541.10001MaRDI QIDQ794688

Władysław Narkiewicz

Publication date: 1984

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

zbMATH Keywords

multiplicative functionssequences of integerslinear recurrence relationspermutation polynomialsadditive functionssecond-order linear recurring sequencessequences of polynomial valuesweak uniform distribution

Mathematics Subject Classification ID

Recurrences (11B37) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Polynomials over finite fields (11T06) Primes in congruence classes (11N13) Other results on the distribution of values or the characterization of arithmetic functions (11N64) Distribution modulo one (11J71) General theory of distribution modulo (1) (11K06) Sequences and sets (11B99)

Related Items (23)

Multiplicative and additive recurrent sequences ⋮ Recurrent sequences and endomorphisms of Euclidean spaces ⋮ WEAK PROPER DISTRIBUTION OF VALUES OF MULTIPLICATIVE FUNCTIONS IN RESIDUE CLASSES ⋮ An elemental Erdős–Kac theorem for algebraic number fields ⋮ Joint distribution in residue classes of polynomial-like multiplicative functions ⋮ Weak uniform distribution of \(u_{n+1}=au_ n+b\) in Dedekind domains ⋮ On a conjecture of Rodier on primitive roots ⋮ On the distribution of the number of points on a family of curves over finite fields ⋮ Two problems on the distribution of Carmichael's lambda function ⋮ Rotation on the digital plane ⋮ Distribution \(\bmod{p}\) of Euler's totient and the sum of proper divisors ⋮ Distribution in coprime residue classes of polynomially-defined multiplicative functions ⋮ Uniform distribution of linear recurring sequences modulo prime powers. ⋮ Calculating the density of solutions of equations related to the Pólya–Ostrowski group through Markov chains ⋮ Uniform Distribution of Second-Order Linear Recurring Sequences ⋮ Distribution of \(r\)-tuples in one class of uniformly distributed sequences over residue rings ⋮ Equidistributed sequences over finite fields produced by one class of linear recurring sequences over residue rings ⋮ Distribution of the ratios of the terms of a linear recurrence ⋮ On a Problem Concerning Permutation Polynomials ⋮ Коэффициенты кросс-корреляции разрядных последовательностей равномерных линейных рекуррент над примарным кольцом вычетов ⋮ Stability of two-term recurrence sequences with even parameter ⋮ Weak Uniform Distribution for Divisor Functions. I ⋮ Weak Uniform Distribution for Divisor Functions. II

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