Squarefree values of polynomials
Michael Filaseta
Acta Arithmetica, Tome 62 (1992), p. 213-231 / Harvested from The Polish Digital Mathematics Library
Publié le : 1992-01-01
EUDML-ID : urn:eudml:doc:206436
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     author = {Michael Filaseta},
     title = {Squarefree values of polynomials},
     journal = {Acta Arithmetica},
     volume = {62},
     year = {1992},
     pages = {213-231},
     zbl = {0743.11049},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav60i3p213bwm}
}
Michael Filaseta. Squarefree values of polynomials. Acta Arithmetica, Tome 62 (1992) pp. 213-231. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav60i3p213bwm/

[000] [1] L. E. Dickson, History of the Theory of Numbers, Vol. I, Chelsea, New York 1971.

[001] [2] P. Erdős, Arithmetical properties of polynomials, J. London Math. Soc. 28 (1953), 416-425. | Zbl 0051.27703

[002] [3] M. Filaseta, Prime values of irreducible polynomials, Acta Arith. 50 (1988), 133-145. | Zbl 0653.10043

[003] [4] P. X. Gallagher, The large sieve and probabilistic Galois theory, in: Proc. Sympos. Pure Math. 24, Amer. Math. Soc., 1973, 91-101. | Zbl 0279.10036

[004] [5] C. Hooley, On the power free values of polynomials, Mathematika 14 (1967), 21-26. | Zbl 0166.05203

[005] [6] M. Huxley and M. Nair, Power free values of polynomials, III, Proc. London Math. Soc. 41 (1980), 66-82. | Zbl 0435.10026

[006] [7] W. J. LeVeque, Fundamentals of Number Theory, Addison-Wesley, Reading, Massachusetts, 1977. | Zbl 0368.10001

[007] [8] T. Nagel, Zur Arithmetik der Polynome, Abh. Math. Sem. Hamburg. Univ. 1 (1922), 179-194. | Zbl 48.0132.04

[008] [9] M. Nair, Power free values of polynomials, Mathematika 23 (1976), 159-183. | Zbl 0349.10039

[009] [10] M. Nair, Power free values of polynomials, II, Proc. London Math. Soc. 38 (1979), 353-368.

[010] [11] G. Pólya and G. Szegő, Problems and Theorems in Analysis II, Springer, New York 1976. | Zbl 0311.00002

[011] [12] B. L. van der Waerden, Die Seltenheit der reduziblen Gleichungen und der Gleichungen mit Affekt, Monatsh. Math. 43 (1936), 133-147. | Zbl 0013.38701

[012] [13] B. L. van der Waerden, Algebra I, Springer, Berlin 1966. | Zbl 0137.25403

[013] [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