The maximum of the smallest maximal coordinate of the minimum vectors in 6-lattices equals 1.
Végh, A. (2005)
Beiträge zur Algebra und Geometrie
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Végh, A. (2005)
Beiträge zur Algebra und Geometrie
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El-Sayed, A.M.A., Hashem, H.H.G. (2009)
The Journal of Nonlinear Sciences and its Applications
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Nils Dencker (2003)
Journées équations aux dérivées partielles
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We prove the Nirenberg-Treves conjecture : that for principal type pseudo-differential operators local solvability is equivalent to condition (). This condition rules out certain sign changes of the imaginary part of the principal symbol along the bicharacteristics of the real part. We obtain local solvability by proving a localizable estimate for the adjoint operator with a loss of two derivatives (compared with the elliptic case). The proof involves a new metric in the Weyl (or Beals-Fefferman)...
Garsia, Adriano, Haiman, Mark, Tesler, Glenn (1999)
Séminaire Lotharingien de Combinatoire [electronic only]
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Fernando Chamizo (1996)
Acta Arithmetica
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Alain Lascoux, Bernard Leclerc, Jean-Yves Thibon (1996)
Banach Center Publications
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Classes dual to Schubert cycles constitute a basis on the cohomology ring of the flag manifold F, self-adjoint up to indexation with respect to the intersection form. Here, we study the bilinear form (X,Y) :=〈X·Y, c(F)〉 where X,Y are cocycles, c(F) is the total Chern class of F and〈,〉 is the intersection form. This form is related to a twisted action of the symmetric group of the cohomology ring, and to the degenerate affine Hecke algebra. We give a distinguished basis for this form,...
Alessandro Zaccagnini (2000)
Acta Arithmetica
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Lesfari, Ahmed (2008)
Surveys in Mathematics and its Applications
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Jeffrey Stopple (1995)
Acta Arithmetica
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Fei Xu, Jianqiang Zhao (1996)
Acta Arithmetica
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C. L. Liu (1996)
Acta Arithmetica
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Peter Lindqvist, Kristian Seip (1998)
Acta Arithmetica
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Some quadratic forms related to "greatest common divisor matrices" are represented in terms of L²-norms of rather simple functions. Our formula is especially useful when the size of the matrix grows, and we will study the asymptotic behaviour of the smallest and largest eigenvalues. Indeed, a sharp bound in terms of the zeta function is obtained. Our leading example is a hybrid between Hilbert's matrix and Smith's matrix.