Résumé
Soit (Pn) n≥1 la suite croissante des nombres premiers. Si f est une fonction entière, non réduite à un polynôme, réelle sur l’axe réelle et qui satisfait une condition de croissance (1–1) alors la suite (f(Pn))n≥1 est équirépartie modulo 1.
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Bibliographie
T. Estermann. Introduction to modern prime number theory. Cambridge 1952.
G.H. Hardy and E.M. Wright. An introduction to the theory of numbers. Oxford 1968.
L.K. Hua. Additive theory of prime numbers. Translations of Mathematical Monographs 13. 1965.
M. Mendès-France. Les suites à spectre vide et la répartition modulo 1. Journal of Number Theory 5 (1973) 1–15.
G. Rauzy. Fonctions entières et répartition modulo un. II Bulletin Soc. Math. France 101. 1973 p. 185–192.
G. Rhin. Sur la répartition modulo 1 des suites f(p). Acta Arithmetica XXIII (1973) p. 217–248.
I.M. Vinogradov. The method of trigonometrical sums in the theory of numbers (Translated from Russian). London 1954.
A. Weil. On some exponential sums. Proc. Nat. Acad. Sc., Washington 34.5 (1948) p. 204–207.
B.M. Wilson. Proofs of some formulae enunciated by Ramanujan. Proc. London. Math. Soc. 221 (1921) p. 235–255.
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© 1975 Springer-Verlag
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Rhin, G. (1975). Repartition modulo 1 de f (pn) quand f est une serie entiere. In: Rauzy, G. (eds) Répartition Modulo 1. Lecture Notes in Mathematics, vol 475. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074265
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DOI: https://doi.org/10.1007/BFb0074265
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