Points entiers au voisinage d'une courbe plane de classe Cⁿ

M. N. Huxley; P. Sargos

Acta Arithmetica (1995)

  • Volume: 69, Issue: 4, page 359-366
  • ISSN: 0065-1036

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M. N. Huxley, and P. Sargos. "Points entiers au voisinage d'une courbe plane de classe Cⁿ." Acta Arithmetica 69.4 (1995): 359-366. <http://eudml.org/doc/206692>.

@article{M1995,
author = {M. N. Huxley, P. Sargos},
journal = {Acta Arithmetica},
keywords = {major arcs; exponential sum; lattice points; discrepancy; curve; strip; number of integer points; error term; polynomial spline approximations},
language = {fre},
number = {4},
pages = {359-366},
title = {Points entiers au voisinage d'une courbe plane de classe Cⁿ},
url = {http://eudml.org/doc/206692},
volume = {69},
year = {1995},
}

TY - JOUR
AU - M. N. Huxley
AU - P. Sargos
TI - Points entiers au voisinage d'une courbe plane de classe Cⁿ
JO - Acta Arithmetica
PY - 1995
VL - 69
IS - 4
SP - 359
EP - 366
LA - fre
KW - major arcs; exponential sum; lattice points; discrepancy; curve; strip; number of integer points; error term; polynomial spline approximations
UR - http://eudml.org/doc/206692
ER -

References

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  1. [1] M. Branton et P. Sargos, Points entiers au voisinage d'une courbe plane à très faible courbure, Bull. Sci. Math. 118 (1994), 15-28. Zbl0798.11039
  2. [2] M. Filaseta and O. Trifonov, The distribution of fractional parts with applications to gap results in Number Theory, à paraître. Zbl0867.11053
  3. [3] S. W. Graham and G. Kolesnik, Van der Corput's Method of Exponential Sums, London Math. Soc. Lecture Note Ser. 126, Cambridge University Press, 1991. Zbl0713.11001
  4. [4] M. N. Huxley, The integer points close to a curve, Mathematika 36 (1989), 198-215. Zbl0659.10032
  5. [5] H. P. F. Swinnerton-Dyer, The number of lattice points on a convex curve , J. Number Theory 6 (1974), 128-135. Zbl0285.10020

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