Comparing the distribution of (nα)-sequences

Christoph Baxa

Acta Arithmetica (2000)

  • Volume: 94, Issue: 4, page 345-363
  • ISSN: 0065-1036

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Baxa, Christoph. "Comparing the distribution of (nα)-sequences." Acta Arithmetica 94.4 (2000): 345-363. <http://eudml.org/doc/207434>.

@article{Baxa2000,
author = {Baxa, Christoph},
journal = {Acta Arithmetica},
keywords = {discrepancy},
language = {eng},
number = {4},
pages = {345-363},
title = {Comparing the distribution of (nα)-sequences},
url = {http://eudml.org/doc/207434},
volume = {94},
year = {2000},
}

TY - JOUR
AU - Baxa, Christoph
TI - Comparing the distribution of (nα)-sequences
JO - Acta Arithmetica
PY - 2000
VL - 94
IS - 4
SP - 345
EP - 363
LA - eng
KW - discrepancy
UR - http://eudml.org/doc/207434
ER -

References

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  1. [1] C. Baxa, On the discrepancy of the sequence (nα), J. Number Theory 55 (1995), 94-107. Zbl0835.11028
  2. [2] C. Baxa, On the distribution of the sequence (nα) with transcendental α, Acta Arith. 81 (1997), 357-363. Zbl0886.11046
  3. [3] C. Baxa and J. Schoißengeier, Minimum and maximum order of magnitude of the discrepancy of (nα), ibid. 68 (1994), 281-290. Zbl0828.11038
  4. [4] H. Behnke, Zur Theorie der diophantischen Approximationen I, Abh. Math. Sem. Univ. Hamburg 3 (1924), 261-318. Zbl50.0124.03
  5. [5] P. Bohl, Über ein in der Theorie der säkularen Störungen vorkommendes Problem, J. Reine Angew. Math. 135 (1909), 189-283. Zbl40.1005.03
  6. [6] Y. Dupain and V. T. Sós, On the discrepancy of (nα) sequences, in: Topics in Classical Number Theory, Vol. 1, Colloq. Math. Soc. János Bolyai 34, G. Halász (ed.), North-Holland, Amsterdam, 1984, 355-387. 
  7. [7] E. Hlawka, Theorie der Gleichverteilung, Bibliographisches Inst., Mannheim, 1979. 
  8. [8] O. Perron, Die Lehre von den Kettenbrüchen, Band 1, Teubner, Stuttgart, 1977. Zbl43.0283.04
  9. [9] L. Ramshaw, On the discrepancy of the sequence formed by the multiples of an irrational number, J. Number Theory 13 (1981), 138-175. Zbl0458.10035
  10. [10] W. M. Schmidt, Irregularities of distribution VII, Acta Arith. 21 (1972), 45-50. Zbl0244.10035
  11. [11] J. Schoißengeier, The discrepancy of ( n α ) n ≥ 1 , Math. Ann. 296 (1993), 529-545. Zbl0786.11043
  12. [12] W. Sierpiński, Sur la valeur asymptotique d'une certaine somme, Bull. Internat. Acad. Polon. Sci. (Cracovie) A (1910), 9-11. Zbl41.0282.01
  13. [13] W. Sierpiński, On the asymptotic value of a certain sum, Rozprawy Akademii Umiejętności w Krakowie, Wydział mat. przyrod. 50 (1910), 1-10 (in Polish). 
  14. [14] H. Weyl, Über die Gibb'sche Erscheinung und verwandte Konvergenzphänomene, Rend. Circ. Mat. Palermo 30 (1910), 377-407. 
  15. [15] H. Weyl, Über die Gleichverteilung von Zahlen mod. Eins, Math. Ann. 77 (1916), 313-352. Zbl46.0278.06

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