On Geometric Progressions on Hyperelliptic Curves
Department of Mathematics
Faculty of Science
Mathematics and Actuarial Science Department
American University in Cairo
be a hyperelliptic curve over
are said to be in a geometric progression of length k
if the rational numbers xi
form a geometric progression sequence in
In this paper we prove the existence of an infinite family of hyperelliptic curves on which there is a sequence of rational points in a geometric progression of length at least eight.
Full version: pdf,
Received February 18 2016; revised versions received June 14 2016; June 17 2016.
Published in Journal of Integer Sequences, June 29 2016.
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