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arxiv: 1607.01530 · v1 · submitted 2016-07-06 · 🧮 math.NT · math.GR

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Markoff Surfaces and Strong Approximation: 1

Jean Bourgain , Alexander Gamburd , Peter Sarnak
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classification 🧮 math.NT math.GR
keywords approximationmarkoffstrongcasemodulipertainingprimeprove
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We prove results pertaining to strong approximation for Markoff triples in the case of prime moduli.

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Cited by 1 Pith paper

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  1. Strong Approximation for the Character Variety of the Four-Times Punctured Sphere

    math.NT 2026-03 unverdicted novelty 7.0

    For most parameters, the group Γ acts transitively on the bulk of solutions to X² + Y² + Z² = XYZ + A X + B Y + C Z + D modulo p for density one primes p, with small orbits coming from finite complex orbits.