Small solutions of phi(1)x(1)(2)+center dot center dot center dot+phi(n)x(n)(2)=0

Authors
Ou, ZMM Williams, KS
Citation
Zmm. Ou et Ks. Williams, Small solutions of phi(1)x(1)(2)+center dot center dot center dot+phi(n)x(n)(2)=0, CAN J MATH, 52(3), 2000, pp. 613-632
Citations number
5
Categorie Soggetti
Mathematics
Journal title
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES
ISSN journal
0008414X → ACNP
Volume
52
Issue
3
Year of publication
2000
Pages
613 - 632
Database
ISI
SICI code
0008-414X(200006)52:3<613:SSOPDC>2.0.ZU;2-4
Abstract
Let phi(1),..., phi(n) (n greater than or equal to 2) be nonzero integers s uch that the equation [GRAPHICS] is solvable in integers x(1),..., x(n) not all zero. It is shown that there exists a solution satisfying [GRAPHICS] and that the constant 2 is best possible.