Some arithmetical properties in connection with pseudo-random numbers.
De Matteis, A. ; Faleschini, B.
Bollettino dell'Unione Matematica Italiana, Tome 18 (1963), p. 171-184 / Harvested from Biblioteca Digitale Italiana di Matematica
Access to full text
Full (PDF)
Full (DjVu)
Publié le : 1963-09-01
@article{BUMI_1963_3_18_3_171_0,
     author = {A. De Matteis and B. Faleschini},
     title = {Some arithmetical properties in connection with pseudo-random  numbers.},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {18},
     year = {1963},
     pages = {171-184},
     zbl = {0116.26805},
     mrnumber = {156811},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_1963_3_18_3_171_0}
}

De Matteis, A.; Faleschini, B. Some arithmetical properties in connection with pseudo-random  numbers.. Bollettino dell'Unione Matematica Italiana, Tome 18 (1963) pp. 171-184. http://gdmltest.u-ga.fr/item/BUMI_1963_3_18_3_171_0/

[1] Lucas, E., Théorie des nombres, Paris1891. | MR 123503 | Zbl 0464.10001

[2] Cipolla, M., «Teoria dei numeri, Analisi indeterminata», in Enciclopedia delle Matematiche Elementari. Vol. I, Parte I, ULRICO HOEPLI, Milano, 1930.

[3] Dickson, L. E., History of the theory of numbers, Vol. I, «Stechert & Co», New York, 1934. | JFM 47.0100.04 | Zbl 0958.11500

[4] Vinogradov, L. M., Elements of number theory. Dover Publications, 1954. | MR 62138 | Zbl 0057.28201

[5] Lehmer, D. H., «Mathematical methods in large-scale computing units», in Symposium on Large Scale Calculating Machinery, pp. 141-146, «Harvard University», 1949. | MR 44899 | Zbl 0045.40001

[6] Rotenberg, A., A new pseudo-random number generator, «J. Assoc. Comp. Mach.», 7 (1960), 75-77. | MR 117868 | Zbl 0096.33902

[7] Coveyou, R. R., Serial corrrelation in generation of pseudo-random numbers, «J. Assoc Corap. Mach.», 7 (1960), 72-74. | MR 117869 | Zbl 0096.33903

[8] Greenberger, M., Notes on a new pseudo-random number generator, «J. Assoc. Comp. Mach.», 8 (1961), 163-167. | Zbl 0104.36005