On arithmetic progressions on Edwards curves
Enrique González-Jiménez (2015)
Acta Arithmetica
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Let and a,q ∈ ℚ. Denote by the set of rational numbers d such that a, a + q, ..., a + (m-1)q form an arithmetic progression in the Edwards curve . We study the set and we parametrize it by the rational points of an algebraic curve.