Results 1 to 10 of about 2,826,823 (62)
Intersection numbers for subspace designs [PDF]
, 2014 Intersection numbers for subspace designs are introduced and $q$-analogs of the Mendelsohn and K\"ohler equations are given. As an application, we are able to determine the intersection structure of a putative $q$-analog of the Fano plane for any prime ...
Kiermaier, Michael +1 more
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A note on log-convexity of q-Catalan numbers [PDF]
, 2007 The q-Catalan numbers studied by Carlitz and Riordan are polynomials in q with nonnegative coefficients. They evaluate, at q=1, to the Catalan numbers: 1, 1, 2, 5, 14,..., a log-convex sequence.
Butler, L. M., Flanigan, W. P.
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q-Fermionic Numbers and Their Roles in Some Physical Problems [PDF]
, 2004 The q-fermion numbers emerging from the q-fermion oscillator algebra are used to reproduce the q-fermionic Stirling and Bell numbers. New recurrence relations for the expansion coefficients in the 'anti-normal ordering' of the q-fermion operators are ...
Parthasarathy, R.
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q-Differential equations for q-classical polynomials and q-Jacobi-Stirling numbers [PDF]
, 2015 We introduce, characterise and provide a combinatorial interpretation for the so-called q-Jacobi–Stirling numbers. This study is motivated by their key role in the (reciprocal) expansion of any power of a second order q-differential operator having the
Loureiro, Ana F., Zeng, J.
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Upper bounds on cyclotomic numbers
, 2011 In this article, we give upper bounds for cyclotomic numbers of order e over a finite field with q elements, where e is a divisor of q-1. In particular, we show that under certain assumptions, cyclotomic numbers are at most $\lceil\frac{k}{2}\rceil$, and
Akihiro Munemasa +8 more
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About multiplicities and applications to Bezout numbers
, 2017 Let $(A,\mathfrak{m},\Bbbk)$ denote a local Noetherian ring and $\mathfrak{q}$ an ideal such that $\ell_A(M/\mathfrak{q}M) < \infty$ for a finitely generated $A$-module $M$.
E. Brieskorn +7 more
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On decomposition numbers and Alvis-Curtis duality
, 2007 We show that for general linear groups ${\rm GL}_n(q)$ as well as for $q$-Schur algebras the knowledge of the modular Alvis-Curtis duality over fields of characteristic $\ell$, $\ell \nmid q$, is equivalent to the knowledge of the decomposition numbers ...
BERND ACKERMANN +6 more
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Analytic Continuation of weighted q-Genocchi numbers and polynomials
, 2012 In the present paper, we analyse analytic continuation of weighted q-Genocchi numbers and polynomials. A novel formula for weighted q-Genocchi- Zeta function {\zeta}G,q (s | {\alpha}) in terms of nested series of {\zeta}G,q (n | {\alpha}) is derived ...
Acikgoz, Mehmet +2 more
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Multiple expansions of real numbers with digits set $\{0,1,q\}$
, 2018 For $q>1$ we consider expansions in base $q$ over the alphabet $\{0,1,q\}$. Let $\mathcal{U}_q$ be the set of $x$ which have a unique $q$-expansions.
Dajani, Karma +3 more
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Dirichlet uniformly well-approximated numbers
, 2017 Fix an irrational number $\theta$. For a real number $\tau >0$, consider the numbers $y$ satisfying that for all large number $Q$, there exists an integer $1\leq n\leq Q$, such that $\|n\theta-y\|0$, the Haussdorff dimension of the set of these numbers ...
Kim, Dong Han, Liao, Lingmin
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