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Volumn 157, Issue 2, 2003, Pages 689-714

New upper bounds on sphere packings I

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EID: 0037769863     PISSN: 0003486X     EISSN: None     Source Type: Journal    
DOI: 10.4007/annals.2003.157.689     Document Type: Article
Times cited : (316)

References (22)
  • 2
    • 0037909703 scopus 로고    scopus 로고
    • New upper bounds on sphere packings II
    • [C], arXiv:math.MG/0110010
    • [C] H. COHN, New upper bounds on sphere packings II, Geom. Topol. 6 (2002). 329-353, arXiv:math.MG/0110010.
    • (2002) Geom. Topol. , vol.6 , pp. 329-353
    • Cohn, H.1
  • 4
    • 0015357424 scopus 로고
    • Bounds for unrestricted codes, by linear programming
    • [D]
    • [D] P. DELSARTE, Bounds for unrestricted codes, by linear programming, Philips Res. Rep. 27 (1972), 272-289.
    • (1972) Philips Res. Rep. , vol.27 , pp. 272-289
    • Delsarte, P.1
  • 8
    • 0013492504 scopus 로고
    • Existenzsätze für Lagerungen im Euklidischen Raum
    • [Gr]
    • [Gr] H. GROEMER, Existenzsätze für Lagerungen im Euklidischen Raum, Math. Z. 81 (1963), 260-278.
    • (1963) Math. Z. , vol.81 , pp. 260-278
    • Groemer, H.1
  • 12
    • 0038247241 scopus 로고    scopus 로고
    • Notions of denseness
    • [K], arXiv:math.MG/9908003
    • [K] G. KUPERBERG, Notions of denseness, Geom. Topol. 4 (2000) 277-292, arXiv:math.MG/9908003.
    • (2000) Geom. Topol. , vol.4 , pp. 277-292
    • Kuperberg, G.1
  • 14
    • 0038247240 scopus 로고
    • Bounds for packings in n-dimensional Euclidean space
    • [Lev]
    • [Lev] V. I. LEVENSHTEIN, Bounds for packings in n-dimensional Euclidean space, Soviet Math. Dokl. 20 (1979), 417-421.
    • (1979) Soviet Math. Dokl. , vol.20 , pp. 417-421
    • Levenshtein, V.I.1
  • 15
    • 0038247239 scopus 로고
    • Extremal problems for positive-definite bandlimited functions II: Eventually negative functions
    • [Lo]
    • [Lo] B. F. LOGAN, Extremal problems for positive-definite bandlimited functions II: eventually negative functions, SIAM J. Math. Anal. 14 2 (1983), 253-257.
    • (1983) SIAM J. Math. Anal. , vol.14 , Issue.2 , pp. 253-257
    • Logan, B.F.1
  • 16
  • 17
    • 0001179224 scopus 로고
    • New bounds on the number of unit spheres that can touch a unit sphere in n dimensions
    • [OS]
    • [OS] A. M. ODLYZKO and N. J. A. SLOANE, New bounds on the number of unit spheres that can touch a unit sphere in n dimensions, J. Combin. Theory A 26 (1979), 210-214.
    • (1979) J. Combin. Theory A , vol.26 , pp. 210-214
    • Odlyzko, A.M.1    Sloane, N.J.A.2
  • 18
    • 0000665771 scopus 로고
    • The packing of equal spheres
    • [Ro]
    • [Ro] C. A. ROGERS, The packing of equal spheres, Proc. London Math. Soc. 8 (1958), 609-620.
    • (1958) Proc. London Math. Soc. , vol.8 , pp. 609-620
    • Rogers, C.A.1
  • 20
    • 0037909702 scopus 로고
    • Über gitterpunkte in convexen körpern and ein damit zusammenhängendes extremalproblem
    • [S]
    • [S] C. L. SIEGEL, Über Gitterpunkte in convexen Körpern and ein damit zusammenhängendes Extremalproblem, Acta Math. 65 (1935), 307-323.
    • (1935) Acta Math. , vol.65 , pp. 307-323
    • Siegel, C.L.1
  • 21
    • 0003263410 scopus 로고
    • Introduction to Fourier Analysis on Euclidean Spaces
    • [SW], Princeton Univ. Press, Princeton, NJ
    • [SW] E. M. STEIN and G. L. WEISS, Introduction to Fourier Analysis on Euclidean Spaces, Princeton Math. Series 32, Princeton Univ. Press, Princeton, NJ, 1971.
    • (1971) Princeton Math. Series , vol.32
    • Stein, E.M.1    Weiss, G.L.2
  • 22
    • 21344462794 scopus 로고
    • The Laplace operator and packings of balls in a Euclidean space
    • [Y]
    • [Y] V. A. YUDIN, The Laplace operator and packings of balls in a Euclidean space, Differential Equations 31 (1995), 837-840.
    • (1995) Differential Equations , vol.31 , pp. 837-840
    • Yudin, V.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.