Browsing by Subject "math.NT"

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    • Commutators in $\mathrm{SL}_2$ and Markoff surfaces I 

      Ghosh, Amit; Meiri, Chen; Sarnak, Peter (New Zealand Journal of Mathematics Committee, 2021)
      We show that the commutator equation over $\mathrm{SL}_2(\mathbb{Z})$ satisfies a profinite local to global principle, while it can fail with infinitely many exceptions for $\mathrm{SL}_2(\mathbb{Z}[\frac{1}{p}])$. The ...