Article
Uniform Distribution of Αn Modulo One for a Family of Integer Sequences
Authors
Abstract
We show that the sequence (αn)n∈B is uniformly distributed mod- ulo 1, for every irrational α, provided B belongs to a certain family of integer sequences, which includes the prime, almost prime, squarefree, practical, densely divisible and lexicographical numbers. We also give an estimate for the discrep- ancy if α has finite irrationality measure.
Keywords
Uniform distribution modulo one, exponential sums, discrepancy.
Citation
Weingartner, A. (2023). Uniform distribution of αn modulo one for a family of integer sequences. Uniform Distribution Theory, 18(2), 19–30. https://doi.org/10.2478/UDT-2023-0011
A. Weingartner, “Uniform distribution of αn modulo one for a family of integer sequences,” Uniform Distribution Theory, vol. 18, no. 2, pp. 19–30, 2023, doi: 10.2478/UDT-2023-0011.
Weingartner A. Uniform distribution of αn modulo one for a family of integer sequences. Uniform Distribution Theory. 2023;18(2):19–30. doi:10.2478/UDT-2023-0011.
Weingartner, A. (2023), ‘Uniform distribution of αn modulo one for a family of integer sequences’, Uniform Distribution Theory, 18(2), pp. 19–30. Available at: https://doi.org/10.2478/UDT-2023-0011.
Weingartner, Andreas. “Uniform Distribution of Αn Modulo One for a Family of Integer Sequences.” Uniform Distribution Theory, vol. 18, no. 2, 2023, pp. 19–30. https://doi.org/10.2478/UDT-2023-0011.
Weingartner, Andreas. “Uniform Distribution of Αn Modulo One for a Family of Integer Sequences.” Uniform Distribution Theory 18, no. 2 (2023): 19–30. https://doi.org/10.2478/UDT-2023-0011.
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Published by: Engineering Journals
