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Comptes Rendus Mathematique
Volumn 339, Issue 9, 2004, Pages 617-620
A new approach to Hilbert's theorem on ternary quartics
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EID: 26844496857     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2004.09.014     Document Type: Article
Times cited : (24)
References (11)
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    • M.D. Choi T.Y. Lam B. Reznick Sums of squares of real polynomials in: K-Theory and Algebraic Geometry: Connections with Quadratic Forms and Division Algebras (Santa Barbara, 1992) in: Proc. Symp. Pure Math. vol. 58 1995 American Mathematical Society Providence, RI 103-126
    • (1995) Proc. Symp. Pure Math. , vol.58 , pp. 103-126
    • Choi, M.D.1    Lam, T.Y.2    Reznick, B.3
  • 2
    • 0012552611 scopus 로고
    • Algebraic Geometry and Theta Functions
    • American Mathematical Society
    • A.B. Coble Algebraic Geometry and Theta Functions Amer. Math. Soc. Colloq. Publ. vol. 10 1929 American Mathematical Society
    • (1929) Amer. Math. Soc. Colloq. Publ. , vol.10
    • Coble, A.B.1
  • 3
    • 0007086079 scopus 로고
    • Ein algebraischer Beweis des Satzes von Weichold über reelle algebraische Funktionenkörper
    • H. Hasse P. Roquette (Eds) (Oberwolfach, 1964) Mannheim
    • W.-D. Geyer Ein algebraischer Beweis des Satzes von Weichold über reelle algebraische Funktionenkörper in: H. Hasse P. Roquette (Eds) Algebraische Zahlentheorie (Oberwolfach, 1964), Mannheim 1966 83-98
    • (1966) Algebraische Zahlentheorie , pp. 83-98
    • Geyer, W.-D.1
  • 4
    • 0000432495 scopus 로고
    • Über die Darstellung definiter Formen als Summe von Formenquadraten
    • D. Hilbert Über die Darstellung definiter Formen als Summe von Formenquadraten Math. Ann. 32 1888 342-350
    • (1888) Math. Ann. , vol.32 , pp. 342-350
    • Hilbert, D.1
  • 5
    • 26844457463 scopus 로고    scopus 로고
    • On Hilbert's theorem about ternary quartics
    • Algebraic and Arithmetic Theory of Quadratic Forms American Mathematical Society Providence, RI
    • A. Pfister On Hilbert's theorem about ternary quartics in: Algebraic and Arithmetic Theory of Quadratic Forms in: Contemp. Math. vol. 344 2004 American Mathematical Society Providence, RI
    • (2004) Contemp. Math. , vol.344
    • Pfister, A.1
  • 6
    • 26844483821 scopus 로고    scopus 로고
    • Notes towards a constructive proof of Hilbert's theorem on ternary quartics
    • in: Quadratic Forms and Their Applications (Dublin, 1999) American Mathematical Society Providence, RI
    • V. Powers B. Reznick Notes towards a constructive proof of Hilbert's theorem on ternary quartics in: Quadratic Forms and Their Applications (Dublin, 1999) in: Contemp. Math. vol. 272 2000 American Mathematical Society Providence, RI 209-227
    • (2000) Contemp. Math. , vol.272 , pp. 209-227
    • Powers, V.1    Reznick, B.2
  • 7
    • 0034345770 scopus 로고    scopus 로고
    • Sums of squares of polynomials
    • W. Rudin Sums of squares of polynomials Amer. Math. Monthly 107 2000 813-821
    • (2000) Amer. Math. Monthly , vol.107 , pp. 813-821
    • Rudin, W.1
  • 8
    • 26444595357 scopus 로고    scopus 로고
    • Hilbert's theorem on positive ternary quartics
    • Quadratic Forms and Their Applications (Dublin, 1999) American Mathematical Society Providence, RI
    • R.G. Swan Hilbert's theorem on positive ternary quartics in: Quadratic Forms and Their Applications (Dublin, 1999) in: Contemp. Math. vol. 272 2000 American Mathematical Society Providence, RI 287-292
    • (2000) Contemp. Math. , vol.272 , pp. 287-292
    • Swan, R.G.1
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    • Über symmetrische Riemannsche Flächen und die Periodizitätsmoduln der zugehörigen Abelschen Normalintegrale erster Gattung
    • G. Weichold Über symmetrische Riemannsche Flächen und die Periodizitätsmoduln der zugehörigen Abelschen Normalintegrale erster Gattung Z. Math. Phys. 28 1883 321-351
    • (1883) Z. Math. Phys. , vol.28 , pp. 321-351
    • Weichold, G.1
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    • Zerlegung reeller algebraischer Funktionen in Quadrate, Schiefkörper über reellem Funktionenkörper
    • E. Witt Zerlegung reeller algebraischer Funktionen in Quadrate, Schiefkörper über reellem Funktionenkörper J. Reine Angew. Math. 171 1934 4-11
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.