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Distribution of Sequences: A Sampler


Oto Strauch and Stefan Porubský

Contents: Aspects of distribution properties of one-dimensional or multi-dimensional sequences – Sequences involving logarithmic functions, trigonometric functions, polynomials, sum-of-digits functions, integer part function, number-theoretic functions, primes, normal numbers, the van der Corput sequence, pseudorandom number generators – Properties of sequences: low discrepancy sequences, good lattice points, nets, lattice rules, completely uniformly distributed sequences, block sequences, circle sequences – Complete mathematical description of the sequences – Characterizations of currently known distribution properties – History, development, and open problems of referred to sequences.