Comparison of the Strengths of Polynomials of Two Variables


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Abstract

In this paper, for homogeneous polynomials of two variables we find necessary and sufficient conditions for comparison of the weighted strengths of these polynomials. The conditions are stated in terms of orders and multiplicities of the zeros of the considered polynomials.

About the authors

V. N. Margaryan

Russian-Armenian (Slavonic) University

Author for correspondence.
Email: vachagan.margaryan@yahoo.com
Armenia, Yerevan

H. G. Ghazaryan

Russian-Armenian (Slavonic) University; Institute of Mathematics

Email: vachagan.margaryan@yahoo.com
Armenia, Yerevan; Yerevan

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