Squarefree values of polynomials

• Autorzy: Michael Filaseta
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1991-1992
• Tom: 60
• Numer: 3
• Strony: 213-231

Daty

wydano

1992

otrzymano

1990-07-02

poprawiono

1991-03-19

Twórcy

autor

Michael Filaseta

• Mathematics Department, University of South Carolina, Columbia, South Carolina 29208, U.S.A.

Bibliografia

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