Results 11 to 20 of about 50 (49)
Explicit formulas for 2-characters
Topology and its Applications, 2010 11 pages Submitted to Proceedings of the ...
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Explicit formulae for Kerov polynomials [PDF]
Journal of Algebraic Combinatorics, 2010 If a Young diagram (or partition) \(\lambda\) is represented as a function in the plane \(\mathbb R^2\), let \(x_0,\dots ,x_m\) and \(y_1,\dots ,y_m\) denote the sequences of \(x\)-coordinates of the local maxima and minima, respectively, of \(\lambda\), and put \({\mathcal H_{\lambda}(z)=\frac{\prod_{i=0}^m(z-x_i)}{\prod_{i=1}^m(z-y_i)}}\).
Petrullo, P., Senato, D.
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Pieri’S Formula Via Explicit Rational Equivalence
Canadian Journal of Mathematics, 1997 AbstractPieri’s formula describes the intersection product of a Schubert cycle by a special Schubert cycle on a Grassmannian. We present a new geometric proof, exhibiting an explicit chain of rational equivalences from a suitable sum of distinct Schubert cycles to the intersection of a Schubert cycle with a special Schubert cycle. The geometry of these
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Explicit irregular sampling formulas
Journal of Computational and Applied Mathematics, 1992 This paper adapts and modifies several of the techniques of \textit{N. Levinson} [``Gap and density theorems'', Amer. Math. Soc. Colloq. Publ. Vol. 26, 246 p. (1940)] to derive irregular sampling formulae that are extensions of those first considered by \textit{J. L.
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Explicit formulae of siegel eisenstein series
Manuscripta Mathematica, 1997 See the author's paper in Manuscr. Math. 92, 107-134 (1997; Zbl 0867.11034).
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A smooth version of Landau’s explicit formula
International Journal of Number TheoryIn this paper, we present a smooth version of Landau’s explicit formula for the von Mangoldt arithmetical function. By assuming the validity of the Riemann hypothesis, we show that in order to determine whether a natural number [Formula: see text] is a prime number, it is sufficient to know the location of a number of nontrivial zeros of the Riemann ...
Eugenio P. Balanzario +2 more
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Explicit formulas for Grassmannian polylogarithms
, 2019 We give new explicit formulas for Grassmannian and Aomoto polylogarithms in terms of iterated integrals, for arbitrary weight. We also explicitly reduce the Grassmannian polylogarithm in weight 4 and in weight 5 each to depth 2. Furthermore, using this reduction in weight 4 we obtain an explicit, albeit complicated, form of the so-called 4-ratio, which
Charlton, Steven +2 more
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An Explicit Formula for Hecke L-functions
, 2004 In 1997 the author found an interesting sequence of numbers that are related to zeros of the Riemann zeta function. In this paper we study a similar sequence of numbers, which are related zeros of L-functions associated with modular forms of weight k > 2. In particular, an explicit formula is obtained for this sequence of numbers.
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Explicit formulae for Bernoulli numbers
AIMS Mathematics<p>By examining the connection coefficients, we systematically review and extend (with an extra integer parameter) several double sum expressions for the Bernoulli numbers. New summation formulae are also established explicitly.</p>
Nadia N. Li, Wenchang Chu
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Explicit formula and quasicrystal definition
6 pages. Corrected misprint in the proof that $\mu$ tempered implies the RH, and give a fuller explanation of the ...
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