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SUMS OF (pr + 1)-TH POWERS IN THE POLYNOMIAL RING F pm[T]

Mireille Car
대한수학회 (The Korean Mathematical Society)|2012.11|대한수학회지 (Journal of the KMS)|제49권 제6호|pp. 1139-1161

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참고문헌

키워드

finite fieldspolynomialsWaring's problem
주제분류수학

초록

Let p be an odd prime number and let F be a finite field with pm elements. We study representations and strict representations of polynomials M 2 F[T] by sums of (pr + 1)-th powers. A representation M = Mk 1 + · · · +Mk s of M 2 F[T] as a sum of k-th powers of polynomials is strict if k degMi <k + degM.

Abstract

Let p be an odd prime number and let F be a finite field with pm elements. We study representations and strict representations of polynomials M 2 F[T] by sums of (pr + 1)-th powers. A representation M = Mk 1 + · · · +Mk s of M 2 F[T] as a sum of k-th powers of polynomials is strict if k degMi <k + degM.

참고문헌 (23)

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