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Markoff–Rosenberger triplets in arithmetic progression

Enrique González-Jiménez and José María Tornero

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Data (MAGMA files)

Section 3: Integral points on curves at work

• We have implemented in Magma the method described on section 3:
  Over the rationals: Markoff-Rosenberger_AP-Z.mg
  Over an arbitrary number field: Markoff-Rosenberger_AP-K.mg

Section 5: Computational results

• Computations related to the proof of theorem 5 about imaginary quadratic fields: proof_theorem_quad_imaginary.txt
• Conjecture 1: Conjecture1.txt
• Markoff triplets in arithmetic progression over number fields of discriminant <10000: AP_Markoff_bound_10^4.txt

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