p. 39 - 67 Sums of seventh powers in the ring of polynomials over the finite field with four elements M. Car Received: March 6, 2012; Accepted: April 12, 2012 Abstract. We study representations of polynomials P Î F4[T] as sums P = X17 + . . . + Xs7. Keywords: Waring's problem; polynomials. AMS Subject classification: Primary: 11T55 Secondary: 11P05 PDF Compressed Postscript Version to read 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 © 2012, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |