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Volumn 128, Issue 12, 2008, Pages 2963-2972

The strict Waring problem for polynomial rings

Author keywords

Finite fields; Polynomial rings; Waring's problem

Indexed keywords


EID: 54449084979     PISSN: 0022314X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnt.2008.07.009     Document Type: Article
Times cited : (15)

References (19)
  • 1
    • 84966233787 scopus 로고
    • Multiplicative subgroups of finite index in a ring
    • Bergelson V., and Shapiro D.B. Multiplicative subgroups of finite index in a ring. Proc. Amer. Math. Soc. 116 4 (1992) 885-896
    • (1992) Proc. Amer. Math. Soc. , vol.116 , Issue.4 , pp. 885-896
    • Bergelson, V.1    Shapiro, D.B.2
  • 2
    • 54449091835 scopus 로고
    • Le problème de Waring pour l'anneau des polynômes sur un corps fini
    • Car M. Le problème de Waring pour l'anneau des polynômes sur un corps fini. C. R. Acad. Sci. Paris Sér. A-B 273 (1971) A141-A144
    • (1971) C. R. Acad. Sci. Paris Sér. A-B , vol.273
    • Car, M.1
  • 3
    • 54449101518 scopus 로고    scopus 로고
    • M. Car, Le problème de Waring pour l'anneau des polynômes sur un corps fini, Séminaire de Théorie des Nombres, 1972-1973, Univ. Bordeaux I, Talence, Exp. No. 6, 13 pp. Lab. Théorie des Nombres, Centre Nat. Recherche Sci., Talence, 1973
    • M. Car, Le problème de Waring pour l'anneau des polynômes sur un corps fini, Séminaire de Théorie des Nombres, 1972-1973, Univ. Bordeaux I, Talence, Exp. No. 6, 13 pp. Lab. Théorie des Nombres, Centre Nat. Recherche Sci., Talence, 1973
  • 4
    • 18444375270 scopus 로고    scopus 로고
    • Sums of cubes of polynomials
    • Car M., and Gallardo L. Sums of cubes of polynomials. Acta Arith. 112 1 (2004) 41-50
    • (2004) Acta Arith. , vol.112 , Issue.1 , pp. 41-50
    • Car, M.1    Gallardo, L.2
  • 6
    • 0043120674 scopus 로고
    • Additive Number Theory of Polynomials Over a Finite Field
    • Oxford Science Publications, The Clarendon Press, Oxford University Press, New York. 0-19-853583-X xvi+157 pp
    • Effinger G.W., and Hayes D.R. Additive Number Theory of Polynomials Over a Finite Field. Oxford Math. Monogr. (1991), Oxford Science Publications, The Clarendon Press, Oxford University Press, New York. 0-19-853583-X xvi+157 pp
    • (1991) Oxford Math. Monogr.
    • Effinger, G.W.1    Hayes, D.R.2
  • 8
    • 27644514039 scopus 로고    scopus 로고
    • Waring's problem for cubes and squares over a finite field of even characteristic
    • Gallardo L. Waring's problem for cubes and squares over a finite field of even characteristic. Bull. Belg. Math. Soc. Simon Stevin 12 3 (2005) 349-362
    • (2005) Bull. Belg. Math. Soc. Simon Stevin , vol.12 , Issue.3 , pp. 349-362
    • Gallardo, L.1
  • 10
    • 0013205336 scopus 로고
    • Theorems on polynomials in a Galois field
    • Paley R.E.A.C. Theorems on polynomials in a Galois field. Q. J. Math. 4 (1933) 52-63
    • (1933) Q. J. Math. , vol.4 , pp. 52-63
    • Paley, R.E.A.C.1
  • 11
    • 0003938791 scopus 로고    scopus 로고
    • translated from the German by Dorothee Aeppli, reprint of the 1978 English translation, Classics in Mathematics, Springer-Verlag, Berlin. 3-540-63640-4 xx+389 pp
    • Pólya G., and Szegö G. Problems and Theorems in Analysis, I. Series, Integral Calculus, Theory of Functions. translated from the German by Dorothee Aeppli, reprint of the 1978 English translation, Classics in Mathematics (1998), Springer-Verlag, Berlin. 3-540-63640-4 xx+389 pp
    • (1998) Problems and Theorems in Analysis, I. Series, Integral Calculus, Theory of Functions
    • Pólya, G.1    Szegö, G.2
  • 12
    • 84867295141 scopus 로고
    • Sums of n-th powers in fields of prime characteristic
    • Tornheim L. Sums of n-th powers in fields of prime characteristic. Duke Math. J. 4 (1938) 359-362
    • (1938) Duke Math. J. , vol.4 , pp. 359-362
    • Tornheim, L.1
  • 13
    • 38249034012 scopus 로고
    • Waring's problem for algebras over fields
    • Vaserstein L.N. Waring's problem for algebras over fields. J. Number Theory 26 (1987) 286-298
    • (1987) J. Number Theory , vol.26 , pp. 286-298
    • Vaserstein, L.N.1
  • 14
    • 84966204141 scopus 로고
    • Sums of cubes in polynomial rings
    • Vaserstein L.N. Sums of cubes in polynomial rings. Math. Comp. 56 (1991) 349-357
    • (1991) Math. Comp. , vol.56 , pp. 349-357
    • Vaserstein, L.N.1
  • 15
    • 0013207710 scopus 로고
    • Ramsey's theorem and the Waring's problem for algebras over fields
    • Ohio State Univ., 1991, de Gruyter, Berlin
    • Vaserstein L.N. Ramsey's theorem and the Waring's problem for algebras over fields. Proc. of Workshop on the Arithmetic of Function Fields. Ohio State Univ., 1991 (1992), de Gruyter, Berlin 435-442
    • (1992) Proc. of Workshop on the Arithmetic of Function Fields , pp. 435-442
    • Vaserstein, L.N.1
  • 16
    • 17044429913 scopus 로고
    • Waring's problem in GF [q, x]
    • Webb W.A. Waring's problem in GF [q, x]. Acta Arith. 22 (1973) 207-220
    • (1973) Acta Arith. , vol.22 , pp. 207-220
    • Webb, W.A.1
  • 17
    • 84968512976 scopus 로고
    • Numerical results for Waring's problem in GF [q, x]
    • Webb W.A. Numerical results for Waring's problem in GF [q, x]. Math. Comp. 27 (1973) 193-196
    • (1973) Math. Comp. , vol.27 , pp. 193-196
    • Webb, W.A.1
  • 18
    • 84938487185 scopus 로고
    • Numbers of solutions of equations in finite fields
    • Weil A. Numbers of solutions of equations in finite fields. Bull. Amer. Math. Soc. 55 (1949) 497-508
    • (1949) Bull. Amer. Math. Soc. , vol.55 , pp. 497-508
    • Weil, A.1
  • 19
    • 0001190276 scopus 로고
    • Large improvements in Waring's problem
    • Wooley T.D. Large improvements in Waring's problem. Ann. of Math. (2) 135 1 (1992) 131-164
    • (1992) Ann. of Math. (2) , vol.135 , Issue.1 , pp. 131-164
    • Wooley, T.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.