Arithmetic Progressions on Huff Curves

Several mathematicians have studied the problem of finding a set, of n. rational points on various models of elliptic curves such that the abscissae of these points are in arithmetic progression. This paper is concerned with finding such arithmetic progressions on the I uff model of elliptic curves. Moody has found arithmetic progressions of length 9 on several infinite families of Huff curves with numerical coefficients. In this paper we find infinitely many parametrized families of Huff curves on which there are arithmetic progressions of length 9, as well as several Huff curves on which there are arithmetic progressions of length 11.