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Currently displaying 1 – 2 of 2

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On arithmetic progressions on Edwards curves

Enrique González-Jiménez — 2015

Acta Arithmetica

Let $m \in ℤ_{> 0}$ and a,q ∈ ℚ. Denote by $_{m} (a, q)$ the set of rational numbers d such that a, a + q, ..., a + (m-1)q form an arithmetic progression in the Edwards curve $E_{d} : x ² + y ² = 1 + d x ² y ²$ . We study the set $_{m} (a, q)$ and we parametrize it by the rational points of an algebraic curve.

On symmetric square values of quadratic polynomials

Enrique González-Jiménez; Xavier Xarles — 2011

Acta Arithmetica

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