Generalized Perron Identity for broken lines

Karpenkov, Oleg ORCID: 0000-0002-3358-6998 and Van-Son, Matty ORCID: 0000-0001-8576-6758 (2019) Generalized Perron Identity for broken lines. JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX, 31 (1). pp. 131-144.

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Official URL: http://dx.doi.org/10.5802/jtnb.1071

Abstract

In this paper, we generalize the Perron Identity for Markov minima. We express the values of binary quadratic forms with positive discriminant in terms of continued fractions associated to broken lines passing through the points where the values are computed.

Item Type:	Article
Uncontrolled Keywords:	Geometry of continued fractions, Perron Identity, binary quadratic indefinite form
Depositing User:	Symplectic Admin
Date Deposited:	21 Aug 2019 07:56
Last Modified:	19 Jan 2023 00:28
DOI:	10.5802/jtnb.1071
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3052245