A generalization of a problem of Chebyshev

Jürgen G. Hinz

Acta Arithmetica (1996)

  • Volume: 74, Issue: 3, page 207-230
  • ISSN: 0065-1036

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Jürgen G. Hinz. "A generalization of a problem of Chebyshev." Acta Arithmetica 74.3 (1996): 207-230. <http://eudml.org/doc/206848>.

@article{JürgenG1996,
author = {Jürgen G. Hinz},
journal = {Acta Arithmetica},
keywords = {multiplicative structure of polynomial values; Tenenbaum's theorem; prime ideal factor with maximal norm},
language = {eng},
number = {3},
pages = {207-230},
title = {A generalization of a problem of Chebyshev},
url = {http://eudml.org/doc/206848},
volume = {74},
year = {1996},
}

TY - JOUR
AU - Jürgen G. Hinz
TI - A generalization of a problem of Chebyshev
JO - Acta Arithmetica
PY - 1996
VL - 74
IS - 3
SP - 207
EP - 230
LA - eng
KW - multiplicative structure of polynomial values; Tenenbaum's theorem; prime ideal factor with maximal norm
UR - http://eudml.org/doc/206848
ER -

References

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  1. [1] P. Erdős, On the greatest prime factor of ∏ k = 1 x f ( k ) , J. London Math. Soc. 27 (1952), 379-384. 
  2. [2] P. Erdős and A. Schinzel, On the greatest prime factor of ∏ k = 1 x f ( k ) , Acta Arith. 55 (1990), 191-200. 
  3. [3] R. R. Hall and G. Tenenbaum, Divisors, Cambridge University Press, Cambridge, 1988. 
  4. [4] J. G. Hinz, Some applications of sieve methods in algebraic number fields, Manuscripta Math. 48 (1984), 117-137. Zbl0554.10028
  5. [5] B. Landreau, A new proof of a theorem of van der Corput, Bull. London Math. Soc. 21 (1989), 366-368. Zbl0677.10031
  6. [6] T. Nagell, Généralisation d'un théorème de Tchebycheff, J. Math. Pures Appl. (8) 4 (1921), 343-356. Zbl48.1173.01
  7. [7] G. J. Rieger, Verallgemeinerung der Siebmethode von A. Selberg auf algebraische Zahlkörper. III, J. Reine Angew. Math. 208 (1961), 79-90. 
  8. [8] H. Sarges, Eine Anwendung des Selbergschen Siebes auf algebraische Zahlkörper, Acta Arith. 28 (1976), 433-455. 
  9. [9] C. L. Siegel, Additive Theorie der Zahlkörper. II, Math. Ann. 88 (1923), 184-210. Zbl49.0128.01
  10. [10] G. Tenenbaum, Sur une question d'Erdős et Schinzel, in: A Tribute to Paul Erdős, A. Baker, B. Bollobás, A. Hajnal (eds.), Cambridge University Press, Cambridge, 1990, 405-443. Zbl0699.10063
  11. [11] G. Tenenbaum, Sur une question d'Erdős et Schinzel. II, Invent. Math. 99 (1990), 215-224. Zbl0699.10063

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