Methods of summability and uniform distribution mod 1

Johann Cigler

Compositio Mathematica (1964)

  • Volume: 16, page 44-51
  • ISSN: 0010-437X

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Cigler, Johann. "Methods of summability and uniform distribution mod 1." Compositio Mathematica 16 (1964): 44-51. <http://eudml.org/doc/88900>.

@article{Cigler1964,
author = {Cigler, Johann},
journal = {Compositio Mathematica},
keywords = {number theory},
language = {eng},
pages = {44-51},
publisher = {Kraus Reprint},
title = {Methods of summability and uniform distribution mod 1},
url = {http://eudml.org/doc/88900},
volume = {16},
year = {1964},
}

TY - JOUR
AU - Cigler, Johann
TI - Methods of summability and uniform distribution mod 1
JO - Compositio Mathematica
PY - 1964
PB - Kraus Reprint
VL - 16
SP - 44
EP - 51
LA - eng
KW - number theory
UR - http://eudml.org/doc/88900
ER -

References

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  1. J. Cigler [1] Asymptotische Verteilung reeller Zahlen mod 1. Monatsh. Math.64, 201-225 (1960). Zbl0111.25301MR121358
  2. J. Cigler [2] Über eine Verallgemeinerung des Hauptsatzes der Theorie der Gleichverteilung. J. reine angew. Math.210, 141 - 147 (1962). Zbl0117.28402MR140859
  3. B. Eckmann [8] Über monothetische Gruppen. Commentarii math. Helvet.16, 249 - 293 (1943/44). Zbl0061.04402MR11302
  4. G.H. Hardy [4] Divergent Series, Oxford1949. Zbl0032.05801MR30620
  5. G. Helmberg [5] A theorem on equidistribution in compact groups. Pacific J. Math.8, 227 - 241 (1958) Zbl0083.25502MR103239
  6. E. Hlawka [6] Zur formalen Theorie der Gleichverteilung in kompakten Gruppen. Rend. Circ. mat. Palermo4, 33—47 (1955). Zbl0065.26402
  7. E. Hlawka [7] Folgen auf kompakten Räumen. Abh. math. Sem. Univ. Hamburg20, 223 - 241 (1956). Zbl0072.05701MR81368
  8. E. Hlawka [8] Folgen auf kompakten Râumen II. Math. Nachr.18, 188-202 (1958). Zbl0082.04102MR99556
  9. G.M. Petersen [9] Almost convergence and uniformly distributed sequences. Quart. J. Math., OxfordII ser. 7, 188-191 (1956). Zbl0072.28302MR95812
  10. G. Pólya und G. Szegö [10] Aufgaben und Lehrsätze aus der Analysis, I. Berlin1925. Zbl51.0173.01
  11. A. Rényi [11] Summation methods and probability theory. Magyar Tud. Akad. Mat. Kutató Int. Közl.4, 389 - 399 (1959). Zbl0217.13502MR130701
  12. M. Tsuji [12] On the uniform distribution of numbers mod. 1. J. math. Soc. Japan4, 313 - 322 (1952). Zbl0048.03302MR59322

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