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Additive functions on shifted primes
Author(s):
P.
D. T. A.
Elliott
Journal:
Bull. Amer. Math. Soc.
27
(1992),
273-278.
MSC (1991):
Primary 11K65, 11L20, 11N37, 11N60, 11N64
MathSciNet review:
1155279
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References |
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Additional information
References:
- [1]
- P.D.T.A. Elliott, Multiplicative functions on arithmetic progressions, Mathematika \textbf{34} (1987), 199--206. MR 933499
- [2]
- P.D.T.A. Elliott, Extrapolating the mean-values of multiplicative functions, Nederl. Akad. Wetensch. Proc. Ser. A \textbf{92} (1989), 409--420. MR 1041494
- [3]
- P.D.T.A. Elliott, \emph{Multiplicative functions on arithmetic progressions {\rm III:} The large moduli} (A. Baker, B. Bolob\'as, and A. Hajnal, ed.), Cambridge Univ. Press, Cambridge, 1990 pp.~177--194. MR 1117012
- [4]
- P.D.T.A. Elliott, Multiplicative functions on arithmetic progressions {\rm IV:} The middle moduli, J. London Math. Soc. (2) \textbf{41} (1990), 201--216. MR 1067262
- [5]
- P.D.T.A. Elliott, Multiplicative functions on arithmetic progressions {\rm V:} Composite moduli, J. London Math. Soc. (2) \textbf{41} (1990), 408--424. MR 1072058
- [6]
- P.D.T.A. Elliott, Multiplicative functions on arithmetic progressions {\rm VI:} More middle moduli, J. Number Theory. MR 1225952
- [7]
- P. Erd\"os and A. Wintner, Additive arithmetical functions and statistical independence, Amer. J. Math. \textbf{61} (1939), 713--721. MR 247
- [8]
- G. Hal\'asz, On the distribution of additive arithmetical functions, Acta Arith. \textbf{27} (1975), 143--152. MR 369292
- [9]
- I. Z. Ruzsa, On the concentration of additive functions, Acta Math. Hungar. \textbf{36} (1980), 215--232. MR 612193
- [10]
- N. M. Timofeev, The Erd\"os-Kubilius conjecture concerning the value distribution of additive functions on the seqeunce of shifted primes, Acta Arith. \textbf{LVIII} (1991), 113--131. (Russian) MR 1121073
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Additional Information:
DOI:
10.1090/S0273-0979-1992-00317-8
PII:
S 0273-0979(1992)00317-8
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