On a series of cosecants related to a problem in ergodic theory

Karl Petersen

Compositio Mathematica (1973)

  • Volume: 26, Issue: 3, page 313-317
  • ISSN: 0010-437X

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Petersen, Karl. "On a series of cosecants related to a problem in ergodic theory." Compositio Mathematica 26.3 (1973): 313-317. <http://eudml.org/doc/89172>.

@article{Petersen1973,
author = {Petersen, Karl},
journal = {Compositio Mathematica},
language = {eng},
number = {3},
pages = {313-317},
publisher = {Noordhoff International Publishing},
title = {On a series of cosecants related to a problem in ergodic theory},
url = {http://eudml.org/doc/89172},
volume = {26},
year = {1973},
}

TY - JOUR
AU - Petersen, Karl
TI - On a series of cosecants related to a problem in ergodic theory
JO - Compositio Mathematica
PY - 1973
PB - Noordhoff International Publishing
VL - 26
IS - 3
SP - 313
EP - 317
LA - eng
UR - http://eudml.org/doc/89172
ER -

References

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  1. P. Bohl [1] Über ein in der Theorie der säkulären Störungen vorkommendes Problem, Jour. f. d. reine und angew. Math.135 (1909) 189-283. JFM40.1005.03
  2. P.L. Butzer and U. Westphal [2] The mean ergodic theorem and saturation, Indiana Univ. Math. Jour.20 (1970/71) 1163-1174. Zbl0206.43402MR279277
  3. H. Furstenberg, H. Keynes and L. Shapiro [3] Prime flows in topological dynamics, in preparation. Zbl0264.54030
  4. W.H. Gottschalk and G.A. Hedlund [4] Topological Dynamics, A.M.S. Coll. Pubs. Vol. XXXVI, Providence, R. I., 1955. Zbl0067.15204MR74810
  5. E. Hecke [5] Analytische Funktionen und die Verteilung von Zahlen mod. eins, Abh. Math. Semin. Hamburg Univ. 1 (1922) 54-76. Zbl48.0197.03JFM48.0197.03
  6. M. Kac and R. Salem [6] On a series of cosecants, K. Akad. v. Wet. Amsterdam Proc. (Series A) 60 (1957) 265-267. Zbl0080.04301MR89284
  7. H. Kesten [7] On a conjecture of Erdös and Szüsz related to uniform distribution mod 1, Acta Arith.12 (1966) 193-212. Zbl0144.28902MR209253
  8. A. Ostrowski [8] Notiz zur Theorie der Diophantischen Approximationen und zur Theorie der linearen Diophantischen Approximationen, Jahresber. d. Deutschen Math. Ver.36 (1927) 178-180 and 39 (1930) 34-46. JFM56.0184.01
  9. K. Petersen [9] Spectra of induced transformations, Recent Advances in Topological Dynamics, Springer-Verlag, New York, 1973, 226-230. Zbl0255.28013MR390175
  10. L. Shapiro [10] Irregularities of distribution in dynamical systems, Recent Advances in Topological Dynamics, Springer-Verlag, New York, 1973, 249-252 Zbl0255.54034MR397698

Citations in EuDML Documents

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  1. J. P. Conze, Sur la convergence d'une série liée à une équation fonctionnelle
  2. K. Schmidt, A cylinder flow arising from irregularity of distribution
  3. Peter Hellekalek, Ergodicity of a class of cylinder flows related to irregularities of distribution
  4. Michael Lacey, Karl Petersen, Mate Wierdl, Dan Rudolph, Random ergodic theorems with universally representative sequences
  5. S. de Bièvre, G. Forni, On the growth of averaged Weyl sums for rigid rotations
  6. P. Hellekalek, Gerhard Larcher, On functions with bounded remainder
  7. Pierre Liardet, Regularities of distribution
  8. Boris Adamczewski, Symbolic discrepancy and self-similar dynamics
  9. Michael R. Herman, Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations

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