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Volumn 109, Issue 15, 2012, Pages 5600-5602

On the Waring problem for polynomial rings

Author keywords

Sum of powers; Sum of squares; Veronese embedding

Indexed keywords

ARTICLE; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; MATHEMATICAL PARAMETERS; MATHEMATICAL PHENOMENA; PRIORITY JOURNAL; WARING PROBLEM;

EID: 84859619047     PISSN: 00278424     EISSN: 10916490     Source Type: Journal    
DOI: 10.1073/pnas.1120984109     Document Type: Article
Times cited : (41)

References (14)
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  • 2
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    • Polynomial interpolation in several variables
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  • 4
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    • On the Alexander-Hirschowitz theorem
    • Brambilla MC, Ottaviani G (2008) On the Alexander-Hirschowitz theorem. J Pure Appl Alg 212:1229-1251.
    • (2008) J Pure Appl Alg , vol.212 , pp. 1229-1251
    • Brambilla, M.C.1    Ottaviani, G.2
  • 5
    • 0001419778 scopus 로고
    • Inverse systems of a symbolic power II. The Waring problem for forms
    • Iarrobino A (1995) Inverse systems of a symbolic power II. The Waring problem for forms. J Algebra 174:1091-1110.
    • (1995) J Algebra , vol.174 , pp. 1091-1110
    • Iarrobino, A.1
  • 7
    • 84859586329 scopus 로고    scopus 로고
    • Tensors: Geometry and Applications
    • AMS, Providence, RI
    • Landsberg JM(2012) Tensors: Geometry and Applications. Graduate Studies in Mathematics, (AMS, Providence, RI), 128.
    • (2012) Graduate Studies in Mathematics , pp. 128
    • Landsberg, J.M.1
  • 9
    • 0001511869 scopus 로고
    • An inequality for Hilbert series of graded algebras
    • Fröberg R (1985) An inequality for Hilbert series of graded algebras. Math Scand 56:117-144.
    • (1985) Math Scand , vol.56 , pp. 117-144
    • Fröberg, R.1
  • 10
    • 84859573509 scopus 로고    scopus 로고
    • On the typical rank of real binary form
    • doi: 10.1080/03081087.2011.624097
    • Comon P, Ottaviani G On the typical rank of real binary form. Linear Multilinear Alg, doi: 10.1080/03081087.2011.624097.
    • Linear Multilinear Alg
    • Comon, P.1    Ottaviani, G.2
  • 11
    • 3142716965 scopus 로고    scopus 로고
    • Trees, parking functions, syzygies, and deformations of monomial ideals
    • DOI 10.1090/S0002-9947-04-03547-0, PII S0002994704035470
    • Postnikov A, Shapiro B (2004) Trees, parking functions, syzygies, and deformations of monomial ideals. Trans Amer Math Soc 356:3109-3142. (Pubitemid 38920387)
    • (2004) Transactions of the American Mathematical Society , vol.356 , Issue.8 , pp. 3109-3142
    • Postnikov, A.1    Shapiro, B.2
  • 12
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    • Combinatorics and geometry of power ideals
    • Ardila F, Postnikov A (2010) Combinatorics and geometry of power ideals. Trans Amer Math Soc 362:4357-4384.
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    • Ardila, F.1    Postnikov, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.