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

P. D. T. A. Elliott

Acta Arithmetica (1999)

  • Volume: 88, Issue: 1, page 31-50
  • ISSN: 0065-1036

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P. D. T. A. Elliott. "Products of shifted primes: Multiplicative analogues of Goldbach's problem." Acta Arithmetica 88.1 (1999): 31-50. <http://eudml.org/doc/207230>.

@article{P1999,
author = {P. D. T. A. Elliott},
journal = {Acta Arithmetica},
keywords = {arithmic groups; representation of integers as products of powers of shifted primes; multiplicative functions of modulus less than one; Dirichlet characters; dual of inequalities; Haar measure on character groups},
language = {eng},
number = {1},
pages = {31-50},
title = {Products of shifted primes: Multiplicative analogues of Goldbach's problem},
url = {http://eudml.org/doc/207230},
volume = {88},
year = {1999},
}

TY - JOUR
AU - P. D. T. A. Elliott
TI - Products of shifted primes: Multiplicative analogues of Goldbach's problem
JO - Acta Arithmetica
PY - 1999
VL - 88
IS - 1
SP - 31
EP - 50
LA - eng
KW - arithmic groups; representation of integers as products of powers of shifted primes; multiplicative functions of modulus less than one; Dirichlet characters; dual of inequalities; Haar measure on character groups
UR - http://eudml.org/doc/207230
ER -

References

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  1. [1] P. D. T. A. Elliott, Probabilistic Number Theory I. Mean-Value Theorems, Grundlehren Math. Wiss. 239, Springer, New York, 1979. 
  2. [2] P. D. T. A. Elliott, Arithmetic Functions and Integer Products, Grundlehren Math. Wiss. 272, Springer, New York, 1985. Zbl0559.10032
  3. [3] P. D. T. A. Elliott, Additive arithmetic functions on intervals, Math. Proc. Cambridge Philos. Soc. 103 (1988), 163-179. Zbl0646.10041
  4. [4] P. D. T. A. Elliott, The concentration function of additive functions on shifted primes, Acta Math. 173 (1994), 1-35. Zbl0824.11057
  5. [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. [6] W. J. Ellison et M. Mendès-France, Les nombres premiers, Hermann, Paris, 1975. 
  7. [7] G. Halász, Über die Mittelwerte multiplikativer zahlentheoretischer Funktionen, Acta Math. Acad. Sci. Hungar. 19 (1968), 365-403. Zbl0165.05804
  8. [8] G. Pólya und G. Szegő, Aufgaben und Lehrsätze aus der Analysis I, Grundlehren Math. Wiss. 19, Springer, Berlin, 1925. Zbl51.0173.01

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