Distribution of closed geodesics on the modular surface and quadratic irrationals

DOI10.24033/bsmf.2064zbMath0624.58019OpenAlexW96784783MaRDI QIDQ3025910

Mark Pollicott

Publication date: 1986

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1986__114__431_0

zbMATH Keywords

closed geodesicscontinued fractionmodular surfacequadratic irrationalsGauss measure

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Continued fractions and generalizations (11J70) Structure of modular groups and generalizations; arithmetic groups (11F06) Ergodic theory (37A99) Homogeneous approximation to one number (11J04) General binary quadratic forms (11E16)

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Cites Work

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• On a $\zeta$ function related to the continued fraction transformation
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• Lectures on Modular Forms. (AM-48)
• The Equidistribution of Closed Geodesics
• Class numbers of indefinite binary quadratic forms
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