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

Acta Arithmetica (1999)

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

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topP. 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

top- [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. Zbl0559.10032
- [3] P. D. T. A. Elliott, Additive arithmetic functions on intervals, Math. Proc. Cambridge Philos. Soc. 103 (1988), 163-179. Zbl0646.10041
- [4] P. D. T. A. Elliott, The concentration function of additive functions on shifted primes, Acta Math. 173 (1994), 1-35. Zbl0824.11057
- [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. Zbl0165.05804
- [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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