Sums of seventh powers of polynomials over a finite field with 8 elements M. Car Received: November 15, 2013; Revised: April 14, 2014; Accepted: July 28, 2014 Abstract. Let F be a finite field with 8 elements. We study representations of polynomials over F as sums and strict sums of seventh powers. Keywords: Waring's problem; polynomials. AMS Subject classification: Primary: 11T55, 11P05 ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2008, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |