On sequences with prescribed metric discrepancy behavior

Author:

Aistleitner Christoph,Larcher Gerhard

Funder

Austrian Science Fund (AT)

Austrian Science Fund

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference12 articles.

1. Aistleitner, C., Hofer, R., Larcher, G.: On parametric Thue-Morse sequences and lacunary trigonometric products. arXiv:1502.06738

2. Aistleitner, C., Larcher, G.: Metric results on the discrepancy of sequences $$\left(a_{n} \alpha \right)_{n \ge 1}$$ a n α n ≥ 1 modulo one for integer sequences $$\left(a_{n}\right)_{n \ge 1}$$ a n n ≥ 1 of polynomial growth. Mathematika (To appear). arXiv:1507.00207

3. Baker, R.C.: Metric number theory and the large sieve. J. Lond. Math. Soc. (2) 24(1), 34–40 (1981)

4. Behnke, H.: Zur Theorie der diophantischen Approximationen. Abh. Math. Sem. Hambg. 3, 261–318 (1924)

5. Berkes, I., Philipp, W.: The size of trigonometric and Walsh series and uniform distribution mod 1. J. Lond. Math. Soc. (2) 50(3), 454–464 (1994)

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