Some remarks on the discrepancy of the sequence α n

Christoph Baxa

Acta Mathematica et Informatica Universitatis Ostraviensis (1998)

  • Volume: 06, Issue: 1, page 27-30
  • ISSN: 1804-1388

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Baxa, Christoph. "Some remarks on the discrepancy of the sequence $\bigl (\alpha \sqrt{n}\bigr )$." Acta Mathematica et Informatica Universitatis Ostraviensis 06.1 (1998): 27-30. <http://eudml.org/doc/23815>.

@article{Baxa1998,
author = {Baxa, Christoph},
journal = {Acta Mathematica et Informatica Universitatis Ostraviensis},
keywords = {fractional part; discrepancy},
language = {eng},
number = {1},
pages = {27-30},
publisher = {University of Ostrava},
title = {Some remarks on the discrepancy of the sequence $\bigl (\alpha \sqrt\{n\}\bigr )$},
url = {http://eudml.org/doc/23815},
volume = {06},
year = {1998},
}

TY - JOUR
AU - Baxa, Christoph
TI - Some remarks on the discrepancy of the sequence $\bigl (\alpha \sqrt{n}\bigr )$
JO - Acta Mathematica et Informatica Universitatis Ostraviensis
PY - 1998
PB - University of Ostrava
VL - 06
IS - 1
SP - 27
EP - 30
LA - eng
KW - fractional part; discrepancy
UR - http://eudml.org/doc/23815
ER -

References

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  1. Baxa C., On the discrepancy of the sequence ( α n ) II, Arch. Math, (to appear). MR1612590
  2. Baxa C., Schoißengeier J., On the discrepancy of the sequence ( α n ) , J. Lond. Math. Soc (to appear). MR1361562
  3. Lerch M., Sur quelques applications des sommes de Gauss, Ann. Mat. Pura Appl. (3. Ser.) 11 (1905), 79-91. (1905) 
  4. Schoißengeier J., 10.1007/BF01917516, Acta Math. Acad. Sci. Hung. 38 (1981), 29-43. (1981) Zbl0484.10032MR0634563DOI10.1007/BF01917516

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