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: https://jtnb.centre-mersenne.org/item/JTNB_2019__3...

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:	math.NT, math.NT, 11H99
Depositing User:	Symplectic Admin
Date Deposited:	17 Oct 2017 07:19
Last Modified:	19 Jan 2023 06:53
DOI:	10.5802/jtnb.1071
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3010260