Équirépartition modulo 1 de semi-groupes additifs de nombres réels

Jean-Pierre Borel

Séminaire Delange-Pisot-Poitou. Théorie des nombres (1978-1979)

  • Volume: 20, Issue: 2, page 1-9

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Borel, Jean-Pierre. "Équirépartition modulo 1 de semi-groupes additifs de nombres réels." Séminaire Delange-Pisot-Poitou. Théorie des nombres 20.2 (1978-1979): 1-9. <http://eudml.org/doc/111043>.

@article{Borel1978-1979,
author = {Borel, Jean-Pierre},
journal = {Séminaire Delange-Pisot-Poitou. Théorie des nombres},
keywords = {partition function; formal series; additive semigroup},
language = {fre},
number = {2},
pages = {1-9},
publisher = {Secrétariat mathématique},
title = {Équirépartition modulo 1 de semi-groupes additifs de nombres réels},
url = {http://eudml.org/doc/111043},
volume = {20},
year = {1978-1979},
}

TY - JOUR
AU - Borel, Jean-Pierre
TI - Équirépartition modulo 1 de semi-groupes additifs de nombres réels
JO - Séminaire Delange-Pisot-Poitou. Théorie des nombres
PY - 1978-1979
PB - Secrétariat mathématique
VL - 20
IS - 2
SP - 1
EP - 9
LA - fre
KW - partition function; formal series; additive semigroup
UR - http://eudml.org/doc/111043
ER -

References

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  1. [1] Bateman ( P.T.) and Erdös ( P.). - Monotonicity of partition functions, Mathematica, t. 3, 1956, p. 1-14. Zbl0074.03502MR80121
  2. [2] Borel ( J.-P.). - Equirépartition modulo 1 et semi-groupes additifs, C. R. Acad. Sc. Paris, t. 287, 1978, série A, p. 743-745. Zbl0396.10039MR516774
  3. [3] Borel ( J.-P.). - Equirépartition modulo 1 de la suite (αxn) où xn décrit un semi-groupe additif de nombres rée ls , Séminaire de Théorie des nombres de Bordeaux, 1978/79, exp. 7. Zbl0417.10043
  4. [4] Ingham ( A.E.). - A tauberian theorem for partitions, Annals of Math., t. 42, 1941, p. 1075-1090. Zbl0063.02973MR5522
  5. [5] Kuipers ( L.) and Niederreiter ( H.). - Uniform distribution of sequences. - London, John Wiley and Sons, 1974 (Pure and applied Mathematics, Wiley-Interscience). Zbl0281.10001MR419394
  6. [6] Parameswaran ( S.). - Partition functions whose logarithms are slowly oscillating, Trans. Amer. math. Soc., t. 100, 1961, p. 217-240. Zbl0111.04802MR140498
  7. [7] Schwarz ( W.). - Asymptotische Formeln für Partitionen, J. für reine und angew. Math., t. 234, 1969, p. 172-178. Zbl0165.36202MR254004
  8. [8] Vaaler ( J.). - A tauberian theorem related to Weyl's criterion, J. of Number Theory, t. 9, 1977, p. 71-78. Zbl0342.10033MR434976

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