# The rational points close to a curve II

Acta Arithmetica (2000)

- Volume: 93, Issue: 3, page 201-219
- ISSN: 0065-1036

## Access Full Article

top## How to cite

topM. N. Huxley. "The rational points close to a curve II." Acta Arithmetica 93.3 (2000): 201-219. <http://eudml.org/doc/207411>.

@article{M2000,

author = {M. N. Huxley},

journal = {Acta Arithmetica},

keywords = {distribution of gaps between -free numbers; rational point; curve},

language = {eng},

number = {3},

pages = {201-219},

title = {The rational points close to a curve II},

url = {http://eudml.org/doc/207411},

volume = {93},

year = {2000},

}

TY - JOUR

AU - M. N. Huxley

TI - The rational points close to a curve II

JO - Acta Arithmetica

PY - 2000

VL - 93

IS - 3

SP - 201

EP - 219

LA - eng

KW - distribution of gaps between -free numbers; rational point; curve

UR - http://eudml.org/doc/207411

ER -

## References

top- [1] M. Filaseta and O. Trifonov, The distribution of fractional parts with applications to gap results in number theory, Proc. London Math. Soc. (3) 73 (1996), 241-278. Zbl0867.11053
- [2] H. Halberstam and K. F. Roth, On the gaps between consecutive k-free numbers, J. London Math. Soc. 26 (1951), 268-273. Zbl0043.04901
- [3] M. N. Huxley, The integer points close to a curve, Mathematika 36 (1989), 198-215. Zbl0659.10032
- [4] M. N. Huxley, The rational points close to a curve, Ann. Scuola Norm. Sup. Pisa Cl. Sci. Fis. Mat. (4) 21 (1994), 357-375. Zbl0827.11046
- [5] M. N. Huxley, Moments of differences between square-free numbers, in: Sieve Methods, Exponential Sums and their Applications in Number Theory, G. R. H. Greaves, G. Harman and M. N. Huxley (eds.), Cambridge Univ. Press, 1996, 187-204.
- [6] M. N. Huxley et P. Sargos, Points entiers au voisinage d’une courbe plane de classe ${C}^{n}$, Acta Arith. 69 (1995), 359-366.
- [7] 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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