Inequalities for Pell equations and Fuchsian groups

1992 ◽  
pp. 26-35 ◽  
Author(s):  
J. H. H. Chalk
Keyword(s):  
Fuchsian Groups ◽  
Pell Equations

scholarly journals A geometric approach to the lower algebraic K-theory of Fuchsian groups

2002 ◽  
Vol 119 (3) ◽  
pp. 269-277 ◽  
Author(s):  
E. Berkove ◽  
D. Juan-Pineda ◽  
K. Pearson
Keyword(s):  
Geometric Approach ◽  
Fuchsian Groups ◽  
K Theory

scholarly journals Outradii of Teichmüller spaces of finitely generated Fuchsian groups of the second kind

1986 ◽  
Vol 26 (1) ◽  
pp. 23-30 ◽  
Author(s):  
Hisao Sekigawa ◽  
Hiro-o Yamamoto
Keyword(s):  
Fuchsian Groups ◽  
Finitely Generated ◽  
Teichmüller Spaces ◽  
Teichmuller Spaces

Existence and Non-Existence of Torsion in Maximal Arithmetic Fuchsian Groups

2009 ◽  
Vol 1 (2) ◽  
Author(s):  
C. Maclachlan
Keyword(s):  
Fuchsian Groups

scholarly journals The Gromov-Lawson-Rosenberg conjecture for cocompact Fuchsian groups

2003 ◽  
Vol 131 (11) ◽  
pp. 3571-3578
Author(s):  
James F. Davis ◽  
Kimberly Pearson
Keyword(s):  
Fuchsian Groups

scholarly journals On fundamental domains of arithmetic Fuchsian groups

1999 ◽  
Vol 69 (229) ◽  
pp. 339-350 ◽  
Author(s):  
Stefan Johansson
Keyword(s):  
Fuchsian Groups ◽  
Fundamental Domains

scholarly journals Solution of certain Pell equations

2018 ◽  
Vol 11 (04) ◽  
pp. 1850056 ◽  
Author(s):  
Zahid Raza ◽  
Hafsa Masood Malik
Keyword(s):  
Positive Integer ◽  
Fundamental Solution ◽  
Positive Solutions ◽  
Continued Fraction ◽  
Pell Equation ◽  
Lucas Sequences ◽  
Pell Equations ◽  
Integer Solutions ◽  
Positive Integers

Let [Formula: see text] be any positive integers such that [Formula: see text] and [Formula: see text] is a square free positive integer of the form [Formula: see text] where [Formula: see text] and [Formula: see text] The main focus of this paper is to find the fundamental solution of the equation [Formula: see text] with the help of the continued fraction of [Formula: see text] We also obtain all the positive solutions of the equations [Formula: see text] and [Formula: see text] by means of the Fibonacci and Lucas sequences.Furthermore, in this work, we derive some algebraic relations on the Pell form [Formula: see text] including cycle, proper cycle, reduction and proper automorphism of it. We also determine the integer solutions of the Pell equation [Formula: see text] in terms of [Formula: see text] We extend all the results of the papers [3, 10, 27, 37].

scholarly journals A pointwise ergodic theorem for Fuchsian groups

2011 ◽  
Vol 151 (1) ◽  
pp. 145-159 ◽  
Author(s):  
ALEXANDER I. BUFETOV ◽  
CAROLINE SERIES
Keyword(s):  
Ergodic Theorem ◽  
Fuchsian Group ◽  
Fuchsian Groups ◽  
Limit Sets ◽  
Pointwise Ergodic Theorem ◽  
Cesaro Averages

AbstractWe use Series' Markovian coding for words in Fuchsian groups and the Bowen-Series coding of limit sets to prove an ergodic theorem for Cesàro averages of spherical averages in a Fuchsian group.

scholarly journals Pinching deformations of Fuchsian groups

1981 ◽  
Vol 33 (4) ◽  
pp. 443-452
Author(s):  
Hiro-o Yamamoto
Keyword(s):  
Fuchsian Groups
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