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Showing 1 to 3 of 3 for “"Farey Sequences"”.
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Applications of dynamical systems to Farey sequences and continued fractions
… in SL(2,R) to study the spacing statistics of Farey fractions. For a given finite index subgroup H ⊆ SL(2,Z), we use a process developed by Fisher and Schmidt to lift a cross section of the horocycle flow on SL(2,R)/SL(2,Z) found by Athreya and Cheung to the finite cover SL(2,R)/H of …
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Visibility of lattice points in high dimensional spaces and extreme values of combinations of Dirichlet L-functions
… we study the phenomenon of similar ordering of Farey fractions and their generalizations. The notion of similar ordering for pairs of rationals was first introduced by Hardy, Littlewood and P\'olya. Later A.E. Mayer proved that pairs of Farey fractions in $\mathcal{F}_Q$ are similarly ordered …
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Topics in analytic number theory
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2023-09-01 without embargo terms