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

• Autorzy: M. N. Huxley , P. Sargos
• Języki publikacji: FR
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1995
• Tom: 69
• Numer: 4
• Strony: 359-366

Daty

wydano

1995

otrzymano

1992-11-25

poprawiono

1994-10-14

Twórcy

autor

M. N. Huxley

• School of Mathematics, University of Wales College of Cardiff, 23, Senghenydd Road, Cardiff, CF2 4YH, Wales, U.K.

autor

P. Sargos

• Institut Elie Cartan, Université de Nancy I, B.P. 239, 54506 Vandoeuvre Cedex, France

Bibliografia

• [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.
• [2] M. Filaseta and O. Trifonov, The distribution of fractional parts with applications to gap results in Number Theory, à paraître.
• [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.
• [4] M. N. Huxley, The integer points close to a curve, Mathematika 36 (1989), 198-215.
• [5] H. P. F. Swinnerton-Dyer, The number of lattice points on a convex curve , J. Number Theory 6 (1974), 128-135.