Squarefree values of polynomials

Michael Filaseta

Acta Arithmetica (1992)

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

How to cite

top

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

top
  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 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.