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Dilogarithm identities for solutions to Pell's equation in terms of continued fraction convergents

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Publication:829643
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DOI10.1007/s11139-020-00316-4zbMath1483.11050arXiv1903.04074OpenAlexW3086997660MaRDI QIDQ829643

Martin J. Bridgeman

Publication date: 6 May 2021

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.04074


zbMATH Keywords

dilogarithmidentitiesPell's equationhyperbolic surfaces


Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Continued fractions (11A55) Higher logarithm functions (33B30)


Related Items

Dilogarithm identities after Bridgeman



Cites Work

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  • Orthospectra of geodesic laminations and dilogarithm identities on moduli space
  • Hyperbolic volume of manifolds with geodesic boundary and orthospectra
  • Simple geodesics and Weil-Petersson volumes of moduli spaces of bordered Riemann surfaces
  • Simple geodesics and a series constant over Teichmüller space
  • Scissors congruences. II
  • A dilogarithm identity on moduli spaces of curves
  • On the rapid computation of various polylogarithmic constants
  • The Dilogarithm Function
  • The Orthogonal Spectrum of a Hyperbolic Manifold
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