The least common multiple and lattice points on hyperbolas

Authors
Granville, A Jimenez-Urroz, J
Citation
A. Granville et J. Jimenez-urroz, The least common multiple and lattice points on hyperbolas, Q J MATH, 51, 2000, pp. 343-352
Citations number
18
Categorie Soggetti
Mathematics
Journal title
QUARTERLY JOURNAL OF MATHEMATICS
ISSN journal
00335606 → ACNP
Volume
51
Year of publication
2000
Part
3
Pages
343 - 352
Database
ISI
SICI code
0033-5606(200009)51:<343:TLCMAL>2.0.ZU;2-O
Abstract
We bound, from below, the least common multiple of k integers from a short interval. This is used to bound the length of an are Gamma of the hyperbola , xy = N, containing k integer lattice points.