Products of shifted primes: Multiplicative analogues of Goldbach's problem

• Autorzy: P. D. T. A. Elliott
• Języki publikacji: EN

Kategorie tematyczne

• 11L99: None of the above, but in this section
• 11N05: Distribution of primes
• 11N99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1999
• Tom: 88
• Numer: 1
• Strony: 31-50

Daty

wydano

1999

otrzymano

1997-11-10

Twórcy

autor

P. D. T. A. Elliott

• Department of Mathematics, University of Colorado at Boulder, Campus Box 395, Boulder, Colorado 80309-0395, U.S.A.

Bibliografia

• [1] P. D. T. A. Elliott, Probabilistic Number Theory I. Mean-Value Theorems, Grundlehren Math. Wiss. 239, Springer, New York, 1979.
• [2] P. D. T. A. Elliott, Arithmetic Functions and Integer Products, Grundlehren Math. Wiss. 272, Springer, New York, 1985.
• [3] P. D. T. A. Elliott, Additive arithmetic functions on intervals, Math. Proc. Cambridge Philos. Soc. 103 (1988), 163-179.
• [4] P. D. T. A. Elliott, The concentration function of additive functions on shifted primes, Acta Math. 173 (1994), 1-35.
• [5] P. D. T. A. Elliott, The multiplicative group of rationals generated by the shifted primes, I, J. Reine Angew. Math. 463 (1995), 169-216.
• [6] W. J. Ellison et M. Mendès-France, Les nombres premiers, Hermann, Paris, 1975.
• [7] G. Halász, Über die Mittelwerte multiplikativer zahlentheoretischer Funktionen, Acta Math. Acad. Sci. Hungar. 19 (1968), 365-403.
• [8] G. Pólya und G. Szegő, Aufgaben und Lehrsätze aus der Analysis I, Grundlehren Math. Wiss. 19, Springer, Berlin, 1925.