
Universität Bonn > Institut für Informatik > Abteilung V  
CSReports 1991  Copyright 1991 Universität Bonn, Institut für Informatik, Abt. V  
8569

Lower Bounds for the Number of Zeros of Multivariate Polynomials over GF [q]
Dima Grigoriev, Marek Karpinski [Download PostScript] [Download PDF] We prove lower bounds on the number of zeros of some classes of multivariate polynomials over $GF[q]$ in the function of the number of their terms only. The paper was motivated by some algebraic problems arising from the new randomized approximation techniques of [Karpinski,~Luby~91] and [Karpinski,~Lhotzky~91] for the number of zeros of polynomials over finite fields. %The bounds are expressed in the function of the %number of their terms only. 

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Universität Bonn > Institut für Informatik > Abteilung V 