M. Aigner, Markov theorem and 100 years of the uniqueness conjecture, A mathematical journey from irrational numbers to perfect matching, Generic two integer variable equation solver, p.2013

G. P. Basharin, A. N. Langville, and V. A. Naumov, The life and work of A.A. Marko¤, Linear algebra and its applications, pp.3-26, 2004.

A. Baragar, On the unicity conjecture for Markoff numbers, Bulletin canadien de math??matiques, vol.39, issue.1, pp.3-9, 1996.
DOI : 10.4153/CMB-1996-001-x

G. Y. Belyi, Markov's numbers and quadratic forms, Journal of Mathematical Sciences, vol.106, issue.4, pp.3087-3097, 2001.
DOI : 10.1023/A:1011316920093

E. Bombieri, Continued fractions and the Markoff tree, Expositiones Mathematicae, vol.25, issue.3, pp.187-213, 2007.
DOI : 10.1016/j.exmath.2006.10.002
URL : http://doi.org/10.1016/j.exmath.2006.10.002

I. Borosh, Numerical evidence of the uniqueness of Markov numbers, Notices A.M.S. 21, A55 Abstract n 711-10, pp.32-351, 1974.

Y. Bugeaud, C. Reutenauer, and S. Siksek, A sturmian sequence related to the uniqueness conjecture for Marko¤ numbers, Theoretical Computer Science, pp.2864-2869, 2009.

J. O. Button, On the uniqueness of prime Marko¤ numbers, J. London Math. Soc, pp.9-17, 1998.

J. O. Button, Markoff Numbers, Principal Ideals and Continued Fraction Expansions, Journal of Number Theory, vol.87, issue.1, pp.77-95, 2001.
DOI : 10.1006/jnth.2000.2578

J. W. Cassels, An introduction to Diophantine Approximation, 1957.

F. J. Chen and Y. G. Chen, On the Frobenius conjecture for Markoff numbers, Journal of Number Theory, vol.133, issue.7, pp.2363-2373, 2013.
DOI : 10.1016/j.jnt.2012.12.018

H. Cohn, Approach to Marko¤'s minimal forms through modular functions, Ann. of Math, pp.61-62, 1955.

H. Cohn, Representation of Marko¤'s binary quadratic forms by geodesics on a perforated torus, pp.123-136, 1971.

H. Cohn, Markoff forms and primitive words, Mathematische Annalen, vol.41, issue.2, pp.8-22, 1972.
DOI : 10.1007/BF01419427
URL : http://www.digizeitschriften.de/download/PPN235181684_0196/PPN235181684_0196___log9.pdf

H. Cohn, Minimality bounds for traces of Marko¤ matrices, Canadian Math. Soc. Conference Proceedings, vol.15, pp.109-121, 1975.

H. Cohn, Ternary forms as invariants of Marko¤ forms and other SL 2 (Z)bundles , Linear algebra and its applications, pp.3-12, 1978.

T. W. Cusick and M. E. Flahive, The Marko¤ and Lagrange spectra, Mathematical Surveys and Monographs, vol.30, 1989.

S. Cecotti and C. Vafa, Topological???anti-topological fusion, Nuclear Physics B, vol.367, issue.2, pp.359-461, 1991.
DOI : 10.1016/0550-3213(91)90021-O

S. Cecotti and C. Vafa, On classification ofN=2 supersymmetric theories, Communications in Mathematical Physics, vol.340, issue.3, pp.569-644, 1993.
DOI : 10.1007/BF02096804

B. N. Delone, On the work of A.A. Marko¤ "On binary quadratics forms with positive determinant, Usp. Math. Nauk. n, vol.5, pp.3-5, 1948.

F. G. Frobenius, Über die Marko¤schen Zahlen, Preuss. Akad. Wiss. Sitzungsber, pp.458-487, 1913.

A. L. Gorodentsev and A. N. Rudakov, Exceptional vector bundles on projective spaces, Duke Math, J, pp.115-130, 1954.

D. S. Gorshkov, Geometry of Lobachevskii in connection with certain questions of arithmetic, Journal of Soviet Mathematics, vol.16, issue.1, pp.788-826, 1981.
DOI : 10.1007/BF01213890

R. K. Guy, Unsolved problems in number theory, Problem books in Mathematics, 1981.

G. H. Hardy and E. M. Wright, An introduction to the theory of numbers, Bulletin of the American Mathematical Society, vol.35, issue.6, 1979.
DOI : 10.1090/S0002-9904-1929-04793-1

H. L. Keng, Introduction to number theory, 1982.
DOI : 10.1007/978-3-642-68130-1

E. Landau, Elementary number theory, 1958.

W. J. Leveque, Topics in number theory, 2002.

M. L. Lang and S. P. Tan, A simple proof of the Marko¤ conjecture for prime powers

A. V. Malyshev, Markov and Lagrange spectra (survey of the literature), Journal of Soviet Mathematics, vol.6, issue.No. 3, pp.767-788, 1981.
DOI : 10.1007/BF01213889

A. A. Marko¤, Sur les formes quadratiques indé?nies, partie 1: Math, Math. Ann, vol.17, issue.2, pp.381-406, 1879.

G. Mcshane and H. Parlier, Multiplicities of simple closed geodesics and hypersurface in Teichmüller space, 2007.

S. Perrine and L. , L'interpr??tation matricielle de la th??orie de Markoff classique, International Journal of Mathematics and Mathematical Sciences, vol.32, issue.4, pp.193-262, 2002.
DOI : 10.1155/S0161171202012875

S. Perrine, La théorie de Marko¤ et ses développements, 2002.

S. Perrine, Recherches autour de la théorie de Marko¤, arXiv:0307032v1 [math-ph] 16, 2003.

S. Perrine, D. Frobenius, and . Riedel, analyse des solutions de l'équation de Marko¤, conférence à la journée « Groupes, géométrie discrète et information quantique » , organisée à l'Institut de Physique Nucléaire de Lyon, Marko¤ equation and nilpotent matrices, 2008.

X. Peng and J. Zhang, Cluster algebras and Marko¤ numbers, CaMUS n 3, pp.19-26

O. Perron, Die Lehre Von den Kettenbruchen, Teubner, 1913.

C. Ricke, On the cluster algebra associated with the once punctured torus, 2013.

N. Riedel, Marko¤ equation and nilpotent matrices, arXiv:0709.1499 v1 [math.NT], 2007.

N. Riedel, On the Marko¤ Equation, arXiv:1208.4032 v8 [math.NT] 12, 2014.

H. E. Rose, A course in number theory, Oxford Science publications, 1988.

D. Rosen and G. S. Patterson, Some numerical evidence concerning the uniqueness of the Marko¤ numbers, Math. of Comp, pp.25-919, 1971.

G. Rosenberg, The uniqueness of the Marko¤ numbers, Math.of Comp.review by R. Bumby M.R, vol.134, pp.361-365, 1976.

A. N. Rudakov, THE MARKOV NUMBERS AND EXCEPTIONAL BUNDLES ON P??, Mathematics of the USSR-Izvestiya, vol.32, issue.1, pp.99-112, 1989.
DOI : 10.1070/IM1989v032n01ABEH000738

P. Schmutz, Systoles of arithmetic surfaces and the Markoff spectrum, Mathematische Annalen, vol.95, issue.1, pp.191-203, 1996.
DOI : 10.1007/BF01444218

A. Srinivasan, A realy simple proof of the Marko¤ conjecture for prime powers

L. Szalay, On the resolution of simultaneous Pell equations, Annales Mathematicae et Informaticae, vol.34, pp.77-87, 2007.

A. Tyurin, Vector bundles, 2006.

M. F. Vigneras, Arithmétique des corps de quaternions, Lecture Notes in Mathematics, vol.800, 1980.

M. Waldschmidt, Open diophantine problems, Moscow Mathematical Journal, vol.4, issue.1, pp.245-305, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00009199

M. Waldschmidt, Autour de l'équation de Marko¤ x 2 + y 2 + z 2 = 3xyz, Rencontres stéphanoises en théorie de nombres, Approximation diophantienne et théorie analytique des nombres, 2008.

D. Zagier, On the number of Markoff numbers below a given bound, Mathematics of Computation, vol.39, issue.160, pp.709-723, 1982.
DOI : 10.1090/S0025-5718-1982-0669663-7

Y. Zhang, Congruence and uniqueness of certain Markoff numbers, Acta Arithmetica, vol.128, issue.3, pp.295-301, 2006.
DOI : 10.4064/aa128-3-7

Y. Zhang, An elementary proof of Marko¤ conjecture for prime powers, arXiv:math/0606283v2 [math.NT] 1 Feb, 2007.

Q. Zhou, On the uniqueness conjecture for Marko¤ triples, arXiv.math/0010131v1, [math.GT], 2000.