Étude probabiliste des sommes des puissances s-ièmes

Bernard Landreau

Compositio Mathematica (1995)

  • Volume: 99, Issue: 1, page 1-31
  • ISSN: 0010-437X

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Landreau, Bernard. "Étude probabiliste des sommes des puissances s-ièmes." Compositio Mathematica 99.1 (1995): 1-31. <http://eudml.org/doc/90406>.

@article{Landreau1995,
author = {Landreau, Bernard},
journal = {Compositio Mathematica},
keywords = {additive bases; random sets; quasi-independence property; Janson's inequality},
language = {fre},
number = {1},
pages = {1-31},
publisher = {Kluwer Academic Publishers},
title = {Étude probabiliste des sommes des puissances s-ièmes},
url = {http://eudml.org/doc/90406},
volume = {99},
year = {1995},
}

TY - JOUR
AU - Landreau, Bernard
TI - Étude probabiliste des sommes des puissances s-ièmes
JO - Compositio Mathematica
PY - 1995
PB - Kluwer Academic Publishers
VL - 99
IS - 1
SP - 1
EP - 31
LA - fre
KW - additive bases; random sets; quasi-independence property; Janson's inequality
UR - http://eudml.org/doc/90406
ER -

References

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  1. 1 Atkin, A.O.L.: "On pseudo-squares", Proc. London Math. Soc., 14A (1965), 22-27. Zbl0147.02703MR202687
  2. 2 Barrucand, P.: "Sur la distribution empirique des sommes de trois cubes ou de quatre bicarrés", Note au C.R. Acad. Sc. Paris, A267 (1968), 409-411. Zbl0162.06403MR232728
  3. 3 Boppona, R.B. and Spencer, J.H.: "A Useful Elementary Correlation Inequality ", J. on Combinatorial Theory, Series A, 50 (1989) 305-307. Zbl0663.60007MR989201
  4. 4 Erdös, P. et Rényi, A.: "Additive properties of random sequences of positive integers", Acta Arith.6 (1960), 83-110. Zbl0091.04401MR120213
  5. 5 Halberstam, H. et Roth, R.F.: "Sequences", Springer-Verlag (1983), Chap. III. Zbl0498.10001MR687978
  6. 6 Hooley, C.: "On some topics connected with Waring's problem", J. Reine Angew. Math.369 (1986), 110-153. Zbl0589.10052MR850631
  7. 7 Janson, S., Luczak, T., and Rucinski, A.: "An exponential bound for the probability of nonexistence of a specified subgraph in a random graph", Random Graphs'87 (Poznan, 1987), WileyChichester1990, 73-87. Zbl0733.05073MR1094125
  8. 8 Rényi, A.: "Calcul des probabilités", Dunod (1966) chap. 7. Zbl0141.14702MR202161
  9. 9 Vaughan R.C.: "The Hardy-Littlewood method", Cambridge University Press (1981). Zbl0455.10034MR628618

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