@article{bwmeta1.element.bwnjournal-article-aav61i1p13bwm, author = {Christian Faivre}, title = {Distribution of L\'evy constants for quadratic numbers}, journal = {Acta Arithmetica}, volume = {62}, year = {1992}, pages = {13-34}, zbl = {0749.11035}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav61i1p13bwm} }
Christian Faivre. Distribution of Lévy constants for quadratic numbers. Acta Arithmetica, Tome 62 (1992) pp. 13-34. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav61i1p13bwm/
[000] [1] P. Billingsley, Ergodic Theory and Information, Wiley, New York 1965. | Zbl 0141.16702
[001] [2] N. Dunford and J. Schwartz, Linear Operators, Part I, Wiley-Interscience, 1963. | Zbl 0128.34803
[002] [3] C. Faivre, Distribution des constantes de Lévy des nombres quadratiques, Ph.D. Thesis, Université de Provence, 1990.
[003] [4] E. Galois, Démonstration d'un théorème sur les fractions continues périodiques, Ann. Math. Pures Appl. 19 (1828-1829), 294-301. | Zbl 61.0227.02
[004] [5] A. Grothendieck, Produits tensoriels topologiques et espaces nucléaires, Mem. Amer. Math. Soc. 16 (1955).
[005] [6] A. Grothendieck, La théorie de Fredholm, Bull. Soc. Math. France 84 (1956), 319-384.
[006] [7] G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, Clarendon Press, Oxford 1968. | Zbl 0020.29201
[007] [8] D. Hejhal, The Selberg Trace Formula for PSL(2,ℝ), Vol. 2, Lecture Notes in Math. 1001, Springer, 1983.
[008] [9] H. Jager et P. Liardet, Distributions arithmétiques des dénominateurs des convergents de fractions continues, Indag. Math. 50 (1988), 181-197. | Zbl 0655.10045
[009] [10] N. V. Kuznetsov, The distribution of norms of primitive hyperbolic classes of the modular group, Soviet Math. Dokl. 19 (5) (1978), 1053-1056. | Zbl 0419.10030
[010] [11] E. Landau, Elementary Number Theory, Chelsea, New York 1958.
[011] [12] P. Lévy, Sur les lois de probabilités dont dépendent les quotients complets et incomplets d'une fraction continue, Bull. Soc. Math. France 57 (1929), 178-194. | Zbl 55.0916.02
[012] [13] D. Mayer, On a ζ function related to the continued fraction transformation, Bull. Soc. Math. France 104 (1976), 195-203. | Zbl 0328.58011
[013] [14] M. Pollicott, Distribution of closed geodesics on the modular surface and quadratic irrationals, Bull. Soc. Math. France 144 (1986), 431-446. | Zbl 0624.58019
[014] [15] D. Ruelle, Zeta-functions for expanding maps and Anosov flows, Invent. Math. 34 (1976), 231-242. | Zbl 0329.58014
[015] [16] P. Sarnak, Class numbers of indefinite binary quadratic forms, J. Number Theory 15 (1982), 229-247. | Zbl 0499.10021
[016] [17] G. Shimura, Introduction to the Arithmetic Theory of Automorphic Functions, Publ. Math. Soc. Japan 11, Iwanami Shoten and Princeton University Press, 1971. | Zbl 0221.10029
[017] [18] Y.-T. Siu, Techniques of Extension of Analytic Objects, Lectures Notes in Pure and Appl. Math. 8, Dekker, 1974.
[018] [19] H. Smith, Note on the theory of the Pellian equation, and of binary quadratic forms of a positive determinant, Proc. London Math. Soc. 7 (1876), 199-208.