Note on a conjecture of P. D. T. A. Elliott

Catalin Badea

Archivum Mathematicum (1987)

  • Volume: 023, Issue: 2, page 89-93
  • ISSN: 0044-8753

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Badea, Catalin. "Note on a conjecture of P. D. T. A. Elliott." Archivum Mathematicum 023.2 (1987): 89-93. <http://eudml.org/doc/18212>.

@article{Badea1987,
author = {Badea, Catalin},
journal = {Archivum Mathematicum},
keywords = {Elliott's conjecture; completely additive arithmetic function; multiplicative representations of integers; shifted-prime factorization; sieve methods},
language = {eng},
number = {2},
pages = {89-93},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Note on a conjecture of P. D. T. A. Elliott},
url = {http://eudml.org/doc/18212},
volume = {023},
year = {1987},
}

TY - JOUR
AU - Badea, Catalin
TI - Note on a conjecture of P. D. T. A. Elliott
JO - Archivum Mathematicum
PY - 1987
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 023
IS - 2
SP - 89
EP - 93
LA - eng
KW - Elliott's conjecture; completely additive arithmetic function; multiplicative representations of integers; shifted-prime factorization; sieve methods
UR - http://eudml.org/doc/18212
ER -

References

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  1. E. Bombieri, Le grand crible dans la théorie analitique des nombres, Paгis, 1974. (1974) 
  2. P. D. T. A. Elliott, A conjecture of Kátai, Аcta Агith. 26 (1974), 11-20. (1974) Zbl0287.10047MR0354599
  3. W. Fluch, Über ein Theorem der linearen Progressionen, Nederl. Аkad. Wetensch. Proc. Seг. А 84 = Indag. Math. 43, (1981), 173-180. (1981) Zbl0463.10033MR0707250
  4. H. Halberstam, Progress towards hypothesis H, Journées Аrithmetique Fгancaises (Univ, Pгovence, Maгseille, 1971), Exp. No. 3, 8 pp. Univ. Pгovence, Maгseille, 1971. (1971) Zbl0242.10026MR0396445
  5. H. Halberstam, H. E. Richeгt, Sieve Methods, London, 1974. (1974) MR0424730
  6. G. H. Haгdy, J. E. Littlewood, Some problems of partitio numerorum III, Аcta Math. 44 (1923), 1-70. (1923) MR1555183
  7. I. Kátai, On sets characterizing number-theoretical functions, Аcta Аrith. 13 (1968), 315-320. (1968) MR0220690
  8. А. Schinzel, W. Sierpinski, Sur certaines hypothèses concernant les nombres premiers, Аcta Агith. 4 (1958), 185-208. (1958) Zbl0082.25802
  9. W. Sieгpinski, Sur les décompositions de nombres rationnels en fractions primaires, Mathesis, 65 (1956), 16-32. (1956) MR0078385
  10. G. Ricci, Sur la congettura di Goldbach e la constante di Schnirelman, Аnn. Scuola Norm. Sup. Pisa, 6 (1937), 71-116. (1937) 
  11. K. H. Rosen, Shifted-prime factorizations, Аmer. Math. Monthly, 88 (1981), 276-278. (1981) Zbl0463.10004MR0534225
  12. D. Wolke, Bemerkungen über Eindeutigkseitsmengen additiver functionen, Elem. Math. 33 (1978), 14-16. (1978) MR0463096

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