Zeros Prime Capacity of Monic Polynomials Using Integer Coefficients

Raj Singh

Zeros Prime Capacity of Monic Polynomials Using Integer Coefficients

Illustrations of Congruences and Sums of Zeros in Monic Polynomials

by Raj Singh*,

- Published in Journal of Advances in Science and Technology, E-ISSN: 2230-9659

Volume 1, Issue No. 1, Feb 2011, Pages 0 - 0 (0)

Published by: Ignited Minds Journals

ABSTRACT

Fora monic polynomial with integer coefficients the sum Sk of the kth powersof the zeros is an integer, for positive integer k. For prime p, (modp); and hence, if ax - 0 then thensimilar congruences hold for sums of negative powers of the zeros.Illustrations are given for various types of Chebyshev polynomials with integerargument.

KEYWORD

Zeros Prime Capacity, Monic Polynomials, Integer Coefficients, Sum of Zeros, Congruences, Chebyshev Polynomials