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Your search keyword '"*EXPONENTIAL sums"' showing total 2 results
Start Over Descriptor "*EXPONENTIAL sums" Journal journal of algebra & its applications Publisher world scientific publishing company
2 results on '"*EXPONENTIAL sums"'

1. Construction of systems of polynomial equations with exact p-Divisibility via the covering method.

Author

Castro, Francis N. and Rubio, Ivelisse M.

Subjects
*POLYNOMIALS, *DIVISIBILITY groups, *DIVISIBILITY of numbers, *EXPONENTIAL sums, *ALGEBRAIC field theory, *NUMERICAL solutions to equations
Abstract

We present an elementary method to compute the exact p-divisibility of exponential sums of systems of polynomial equations over the prime field. Our results extend results by Carlitz and provide concrete and simple conditions to construct families of polynomial equations that are solvable over the prime field. [ABSTRACT FROM AUTHOR]

Published
2014
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2. DEGREE MATRICES AND ESTIMATES FOR EXPONENTIAL SUMS OF POLYNOMIALS OVER FINITE FIELDS.

Author

CAO, WEI

Subjects
*EXPONENTIAL sums, *POLYNOMIALS, *FINITE fields, *PARAMETER estimation, *MATRICES (Mathematics), *DIVISOR theory, *MATHEMATICAL analysis
Abstract

Let f be a multivariate polynomial over a finite field and its degree matrix be composed of the degree vectors appearing in f. In this paper, we provide an elementary approach to estimating the exponential sums of the polynomials with positive square degree matrices in terms of the elementary divisors of the degree matrices. [ABSTRACT FROM AUTHOR]

Published
2013
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