article06_4. 180KB Jun 04 2011 12:06:52 AM
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In this paper, we find an explicit formula for the generating function for the number of partitions of [ n ] with exactly k blocks according to the number of peaks (valleys) in terms
Kummer theory of quadratic extensions over cyclic cubic fields, keeping only those extensions whose discriminant is less than the required bound (see [14] for details)..
We prove that the Hausdorff dimension of the set of badly approximable systems of m linear forms in n variables over the field of Laurent series with coefficients from a finite field
Let Z > 0 (resp. We consider a complete discrete valuation field K whose residue field is perfect of characteristic p. We sometimes consider a p -CDVF whose residue field is
Although we do not know the minimum spectral norm for all cases where n = 2 m , we will prove in Theorem 3.5 that any tournament matrix of even order that attains the minimum
A tight upper bound on the algebraic connectivity of G in terms of n and k for the case that k > n/ 2 is provided; the graphs which yield equality in the bound are
Also, it is known (see [3]) that any product of n − 1 fully indecomposable stochastic matrices of order n must have all positive entries, so the problem may be restricted to the
Abstract. We study an integrable case of n -particle Toda lattice: open chain with boundary terms containing 4 parameters. For this model we construct a B¨acklund transformation
