Squarefree values of polynomials

Michael Filaseta

Acta Arithmetica (1992)

  • Volume: 60, Issue: 3, page 213-231
  • ISSN: 0065-1036

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Michael Filaseta. "Squarefree values of polynomials." Acta Arithmetica 60.3 (1992): 213-231. <http://eudml.org/doc/206436>.

@article{MichaelFilaseta1992,
author = {Michael Filaseta},
journal = {Acta Arithmetica},
keywords = {squarefree values; integer polynomials},
language = {eng},
number = {3},
pages = {213-231},
title = {Squarefree values of polynomials},
url = {http://eudml.org/doc/206436},
volume = {60},
year = {1992},
}

TY - JOUR
AU - Michael Filaseta
TI - Squarefree values of polynomials
JO - Acta Arithmetica
PY - 1992
VL - 60
IS - 3
SP - 213
EP - 231
LA - eng
KW - squarefree values; integer polynomials
UR - http://eudml.org/doc/206436
ER -

References

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  1. [1] L. E. Dickson, History of the Theory of Numbers, Vol. I, Chelsea, New York 1971. 
  2. [2] P. Erdős, Arithmetical properties of polynomials, J. London Math. Soc. 28 (1953), 416-425. Zbl0051.27703
  3. [3] M. Filaseta, Prime values of irreducible polynomials, Acta Arith. 50 (1988), 133-145. Zbl0653.10043
  4. [4] P. X. Gallagher, The large sieve and probabilistic Galois theory, in: Proc. Sympos. Pure Math. 24, Amer. Math. Soc., 1973, 91-101. Zbl0279.10036
  5. [5] C. Hooley, On the power free values of polynomials, Mathematika 14 (1967), 21-26. Zbl0166.05203
  6. [6] M. Huxley and M. Nair, Power free values of polynomials, III, Proc. London Math. Soc. 41 (1980), 66-82. Zbl0435.10026
  7. [7] W. J. LeVeque, Fundamentals of Number Theory, Addison-Wesley, Reading, Massachusetts, 1977. Zbl0368.10001
  8. [8] T. Nagel, Zur Arithmetik der Polynome, Abh. Math. Sem. Hamburg. Univ. 1 (1922), 179-194. Zbl48.0132.04
  9. [9] M. Nair, Power free values of polynomials, Mathematika 23 (1976), 159-183. Zbl0349.10039
  10. [10] M. Nair, Power free values of polynomials, II, Proc. London Math. Soc. 38 (1979), 353-368. 
  11. [11] G. Pólya and G. Szegő, Problems and Theorems in Analysis II, Springer, New York 1976. Zbl0311.00002
  12. [12] B. L. van der Waerden, Die Seltenheit der reduziblen Gleichungen und der Gleichungen mit Affekt, Monatsh. Math. 43 (1936), 133-147. Zbl0013.38701
  13. [13] B. L. van der Waerden, Algebra I, Springer, Berlin 1966. Zbl0137.25403
  14. [14] B. L. van der Waerden, Algebra, Vol. I, 7th edition, translated by F. Blum and J. R. Schulenberger, Frederick Ungar Publ. Co., New York 1970 

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