Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 17, No. 2, pp. 77-79 (2001)

Remarks on the number of non-zero coefficients of polynomials

Béla Brindza

Institut for Mathematics and Informatics, University of Debrecen, H-4010 Debrecen, PO Box 12, Hungary

Abstract: We give sharp lower bounds for the number of non-zero coefficients of polynomials given respectively their number of distinct zeros or their number of distinct intersections with polynomials of low degree.

Keywords: Class numbers, diophantine equations, quadratic forms.

Classification (MSC2000): 11D09; 11R29

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