The Hoggatt-Bergum Conjecture on $D(-1)$-Triples $\{F_{2k+1}, F_{2k+3}, F_{2k+5}\}$ and Integer Points on the Attached Elliptic Curves
نویسندگان
چکیده
منابع مشابه
A proof of the Hoggatt-Bergum conjecture
It is proved that if k and d are positive integers such that the product of any two distinct elements of the set {F2k, F2k+2, F2k+4, d} increased by 1 is a perfect square, than d has to be 4F2k+1F2k+2F2k+3. This is a generalization of the theorem of Baker and Davenport for k = 1.
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 2009
ISSN: 0035-7596
DOI: 10.1216/rmj-2009-39-6-1907