On the growth of averaged Weyl sums for rigid rotations

S. de Bièvre; G. Forni

Studia Mathematica (1998)

  • Volume: 130, Issue: 3, page 199-212
  • ISSN: 0039-3223

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de Bièvre, S., and Forni, G.. "On the growth of averaged Weyl sums for rigid rotations." Studia Mathematica 130.3 (1998): 199-212. <http://eudml.org/doc/216552>.

@article{deBièvre1998,
author = {de Bièvre, S., Forni, G.},
journal = {Studia Mathematica},
keywords = {asymptotic behaviour of Weyl sums; Cesàro-means; Liouville numbers},
language = {eng},
number = {3},
pages = {199-212},
title = {On the growth of averaged Weyl sums for rigid rotations},
url = {http://eudml.org/doc/216552},
volume = {130},
year = {1998},
}

TY - JOUR
AU - de Bièvre, S.
AU - Forni, G.
TI - On the growth of averaged Weyl sums for rigid rotations
JO - Studia Mathematica
PY - 1998
VL - 130
IS - 3
SP - 199
EP - 212
LA - eng
KW - asymptotic behaviour of Weyl sums; Cesàro-means; Liouville numbers
UR - http://eudml.org/doc/216552
ER -

References

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  11. [KN] L. Kuipers and H. Niederreiter, Uniform Distribution of Sequences, Wiley, New York, 1974. Zbl0281.10001
  12. [L] P. Liardet, Regularities of distribution, Compositio Math. 61 (1987), 267-293. Zbl0619.10053
  13. [LV] P. Liardet and D. Volný, Sums of continuous and differentiable functions in dynamical systems, Israel J. Math. 98 (1997), 29-60. Zbl0881.28012
  14. [Pa] D. A. Pask, Skew products over the irrational rotation, ibid. 69 (1990), 65-74. Zbl0703.28009
  15. [P1] K. Petersen, Ergodic Theory, Cambridge Univ. Press, Cambridge, 1983. 
  16. [P2] K. Petersen, On a series of cosecants related to a problem in ergodic theory, Compositio Math. 26 (1973), 313-317. Zbl0269.10030

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