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Volumn 12, Issue 3, 2005, Pages 349-362

Waring's problem for cubes and squares over a finite field of even characteristic

Author keywords

Characteristic 2; Finite Fields; Polynomials; Waring's Problem

Indexed keywords


EID: 27644514039     PISSN: 13701444     EISSN: None     Source Type: Journal    
DOI: 10.36045/bbms/1126195340     Document Type: Article
Times cited : (6)

References (17)
  • 3
    • 0043120674 scopus 로고
    • Additive number theory of polynomials over a finite field
    • Clarendon Press, Oxford
    • G. Effinger and D. Hayes, "Additive Number Theory of Polynomials Over a Finite Field", Oxford Mathematical Monographs, Clarendon Press, Oxford, 1991.
    • (1991) Oxford Mathematical Monographs
    • Effinger, G.1    Hayes, D.2
  • 4
    • 0032116889 scopus 로고    scopus 로고
    • 2n[t]
    • Série I
    • 2n[t]- variant of Waring's problem), C.R.A.S, t. 327, Série I, (1998), 117-121.
    • (1998) C.R.A.S , vol.327 , pp. 117-121
    • Gallardo, L.1
  • 7
    • 27644449084 scopus 로고    scopus 로고
    • Waring's problem for polynomial cubes and squares over a finite field with odd characteristic
    • L. Gallardo, Waring's problem for Polynomial cubes and squares over a finite field with odd characteristic. Port. Math. (N.S.) 61, no. 1, (2004), 35-49.
    • (2004) Port. Math. (N.S.) , vol.61 , Issue.1 , pp. 35-49
    • Gallardo, L.1
  • 9
    • 0040986809 scopus 로고
    • An effective seven cubes theorem
    • Kevin S. Me Curley, An effective seven cubes theorem, J. Number Theory 19, no. 2, (1984), 176-183.
    • (1984) J. Number Theory , vol.19 , Issue.2 , pp. 176-183
    • Me Curley, K.S.1
  • 10
    • 0013205336 scopus 로고
    • Thorems on polynomials in a Galois field
    • R.E.A.C. Paley, Thorems on polynomials in a Galois field, Quart. J. Math. 4 (1933), 52-63.
    • (1933) Quart. J. Math. , vol.4 , pp. 52-63
    • Paley, R.E.A.C.1
  • 11
    • 27644562488 scopus 로고
    • Bemerkung zu einem Beweis von Wieferich
    • Abt. 1
    • B. Scholz, Bemerkung zu einem Beweis von Wieferich, Jber. Deutsch. Math. Verein. 58, (1955), Abt. 1, 45-48.
    • (1955) Jber. Deutsch. Math. Verein. , vol.58 , pp. 45-48
    • Scholz, B.1
  • 12
    • 84966204141 scopus 로고
    • Sums of cubes in polynomial rings
    • L.N. Vaserstein, Sums of cubes in polynomial rings, Math, of Comp 56, no 193, (1991), 349-357.
    • (1991) Math, of Comp , vol.56 , Issue.93 , pp. 349-357
    • Vaserstein, L.N.1
  • 13
    • 0013207710 scopus 로고
    • Ramsey's theorem and the Waring's problem for algebras over fields
    • Ohio State University, Walter de Gruyter Verlag
    • L.N. Vaserstein, Ramsey's theorem and the Waring's problem for algebras over fields, pp. 435-442 in proceedings of workshop "The Arithmetic of Function Fields", 1991, Ohio State University, Walter de Gruyter Verlag, 1992.
    • (1991) Proceedings of Workshop "The Arithmetic of Function Fields" , pp. 435-442
    • Vaserstein, L.N.1
  • 14
    • 0344362610 scopus 로고
    • On Waring's problem: One square and five cubes
    • R.C. Vaughan, On Waring's problem: One square and five cubes, Q.J. Math., Oxf. II. Ser. 37, (1986), 117-127.
    • (1986) Q.J. Math., Oxf. II. Ser. , vol.37 , pp. 117-127
    • Vaughan, R.C.1
  • 15
    • 84963045442 scopus 로고
    • A proof of the seven cubes theorem
    • G.L. Watson, A proof of the seven cubes theorem, J. Lond. Math. Soc., 26 (1951), 153-156.
    • (1951) J. Lond. Math. Soc. , vol.26 , pp. 153-156
    • Watson, G.L.1
  • 16
    • 27644537343 scopus 로고
    • On sums of a square and five cubes
    • G.L. Watson, On sums of a square and five cubes, J. Lond. Math. Soc., II. Ser. 5, (1972), 215-218.
    • (1972) J. Lond. Math. Soc., II. Ser. , vol.5 , pp. 215-218
    • Watson, G.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.