Keywords
- Congruential Method
- Cela Implique
- Nous Examinons
- Farey Series
- Obabilistic Method
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References
DELANGE H.: Sur la distribution des fractions irréductibles de dénominateur n ou de dénominateur au plus égal à x. Hommage au Professeur Lucien Godeaux; Centre Belge de Recherches Mathématiques; Louvain, 75–89, (1968).
FRANEL J.: Les suites de Farey et le problème des nombres premiers, Göttinger Nachrichten, 198–201, (1924).
VAN HAMME L.: Sur une généralisation de l’indicateur d’Euler, Académie royale de Belgique, Bulletin de la Classe des sciences, 5ème série 57, 805–817, (1971).
HARDY G.H., WRIGHT E.M.: An introduction to the theory of numbers 4ème ed, Oxford, Clarendon Press, (1960).
HUXLEY M.N.: The distribution of Farey points I, Acta Arith. 18, 281–287, (1971).
JAGERMAN D.L.: Some theorems concerning pseudo-random numbers, Math. Comp. 19, 418–426, (1965).
KUBILIUS J.: Probabilistic methods in the theory of numbers, A.M.S., Translations of Mathematical Monographs, Vol. 11, Providence, Rhode Island, (1964).
LANDAU E.: Bemerkungen zu der vorstehenden Abhandlung von Herrn Franel, Göttinger Nachrichten, 202–206, (1924).
LANDAU E.: Vorlesungen über Zahlentheorie, 2e Band, New York, Chelsea Publ. Co, (1947).
NEVILLE E.H.: The structure of Farey series, Proc. London Math. Soc. 51, 132–144, (1949).
NIEDERREITER H.: On the distribution of pseudo-random numbers generated by the linear congruential method, Math. Comp. 26, 793–795, (1972).
NIEDERREITER H.: The distribution of Farey points, Math. Ann. 201, 341–345, (1973).
PRACHAR K.: Primzahlverteilung, Grundlehren 91, Berlin, Springer-Verlag, (1957).
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Meijer, H.G., Niederreiter, H. (1975). Equirepartition et theorie des nombres premiers. In: Rauzy, G. (eds) Répartition Modulo 1. Lecture Notes in Mathematics, vol 475. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074260
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DOI: https://doi.org/10.1007/BFb0074260
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