An Arithmetic Progression on Quintic Curves
Department of Mathematics
University of Arizona
617 N. Santa Rita Ave.
Tucson, AZ 85721
Consider a degree five curve of the form
. Ulas previously showed the existence of an
infinite family of curves
which contain an arithmetic
progression (AP) of length 11. The author also found an example of
said curve which contains 12 points in AP. In this paper, we
construct an infinite family of curves with an AP of length 12.
Full version: pdf,
Received August 16 2009;
revised version received October 19 2009.
Published in Journal of Integer Sequences, October 21 2009.
Journal of Integer Sequences home page