Théories statistique et thermodynamique des nombres
Julia, B. L.
Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 45 (1993), p. 113-125 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1993-01-01
@article{RCP25_1993__44__113_0,
     author = {Julia, B. L.},
     title = {Th\'eories statistique et thermodynamique des nombres},
     journal = {Les rencontres physiciens-math\'ematiciens de Strasbourg -RCP25},
     volume = {45},
     year = {1993},
     pages = {113-125},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RCP25_1993__44__113_0}
}

Julia, B. L. Théories statistique et thermodynamique des nombres. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 45 (1993) pp. 113-125. http://gdmltest.u-ga.fr/item/RCP25_1993__44__113_0/

[1] B. Julia, Springer Proceedings in Physics 47, "Number theory and Physics" ed. J.-M. Luck et al. p. 276 (1990) | MR 1058443 | Zbl 0727.11033

see also B. Julia J. de Phys. 50 (1989) 1371. | MR 1011424

[2] G.H. Hardy, Ramanujan Cambridge U.P. (1940). The rigorous estimate for this asymptotic behavior can be found in :

[3] E. Wright, Acta Math. 63 (1934) 143. | JFM 60.0135.01 | MR 1555393 | Zbl 0009.30001

[4] B. Julia, to appear in Physica A, Thermodynamic limit in number theory : Riemann-Beurling gases. | MR 1265190 | Zbl 0810.11077

[5] W.J. Ellison, Les nombres premiers, Hermann (1975). | MR 417077 | Zbl 0313.10001

[6] G. Tenenbaum, Introduction à la théorie analytique et probabiliste des nombres, Published by Université Nancy 1 (1990). | Zbl 0880.11001

[7] H. Bateman, A. Erdélyi et al., Tables of Integral Transforms, vol.1 (1954) McGraw-Hill. | Zbl 0058.34103

[8] M. Abramowitz and I. Stegun, Handbook of mathematical functions, Dover (1972).

[9] H. Bateman, A. Erdélyi, Higher transcendental functions I, McGraw-Hill (1953). | Zbl 0052.29502

[10] M. E. Fisher, in Lectures in Theoretical Physics VIIc, Boulder (1965), University of Colorado Press.

[11] H. P. Mckean, J. Math. Phys. 5 (1964) 775.

[12] D. Ruelle, Comm. Math. Phys. 31 (1973) 265. | MR 353912 | Zbl 1125.82311

[13] L. G. Sathe, J. Indian Math. Soc. 17 (1953) 63 | MR 56625 | Zbl 0050.27102

A. Selberg, ibidem 18 (1954) 83 | MR 67143 | Zbl 0057.28502

H. Delange, Bull. Sc. math. 83 (1959) 101. | MR 113836 | Zbl 0106.03305

[14] B. Julia in preparation.