Authors
Citation
A. Dujella, A proof of the Hoggatt-Bergum conjecture, P AM MATH S, 127(7), 1999, pp. 1999-2005
Citations number
14
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939
→ ACNP
Volume
127
Issue
7
Year of publication
1999
Pages
1999 - 2005
Database
ISI
SICI code
0002-9939(199907)127:7<1999:APOTHC>2.0.ZU;2-G
Abstract
It is proved that if k and d are positive integers such that the product of
any two distinct elements of the set
{F-2k, F2k+2, F2k+4, d}
increased by 1 is a perfect square, then d has to be 4F(2k+1)F(2k+2)F(2k+3)
. This is a generalization of the theorem of Baker and Davenport for k = 1.