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arxiv: 1801.09012 · v2 · pith:XUKC5ZIEnew · submitted 2018-01-27 · 🧮 math.DS · math.NT

Linnik's problems and maximal entropy methods

classification 🧮 math.DS math.NT
keywords entropylinnikmaximalmethodspointsdistributiondynamicaleinsiedler
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We use maximal entropy methods to examine the distribution properties of primitive integer points on spheres and of CM points on the modular surface. The proofs we give are a modern and dynamical interpretation of Linnik's original ideas and follow techniques presented by Einsiedler, Lindenstrauss, Michel and Venkatesh in 2011.

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