Points entiers au voisinage d'une courbe de classe C^n III

Huxley, Martin Neil and Sargos, Patrick 2006. Points entiers au voisinage d'une courbe de classe C^n III. Functiones et Approximatio, Commentarii Mathematici 35 (1) , pp. 91-115.

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Abstract

Filaseta and Trifonov (1996) introduced a divisibility argument into the divided differences method for bounding the number of integer points in a narrow strip close to a curve; their result is useful when the strip is very narrow. We sharpen their argument, and extend it to allow broader strips. An immediate complication is the possible appearance of major arcs, which were first encountered in our earlier paper (1995).

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	Adam Mickiewicz University
Last Modified:	04 Jun 2017 04:01
URI:	https://orca.cardiff.ac.uk/id/eprint/31000

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