Zobrazeno 1 - 10
of 84
pro vyhledávání: '"Ian P. Goulden"'
Autor:
Pavel Shuldiner, Ian P. Goulden
Publikováno v:
Discrete Mathematics. 341:1210-1214
In a pair of recent papers, Andrews, Fraenkel and Sellers provide a complete characterization for the number of m -ary partitions modulo m , with and without gaps. In this paper we extend these results to the case of coloured m -ary partitions, with
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::13fa5d799734fbbef2d3d637191a54c9
https://doi.org/10.1016/j.disc.2018.01.017
https://doi.org/10.1016/j.disc.2018.01.017
Autor:
Ian P. Goulden, Sean R. Carrell
Publikováno v:
Transactions of the American Mathematical Society. 370:5051-5080
The central object of study is a formal power series that we call the content series, a symmetric function involving an arbitrary underlying formal power series $f$ in the contents of the cells in a partition. In previous work we have shown that the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4e17bd31b9e673af928907ac1c6296e9
https://doi.org/10.1090/tran/7143
https://doi.org/10.1090/tran/7143
Publikováno v:
Annals of Combinatorics. 21:73-81
Monotone Hurwitz numbers were introduced by the authors as a combinatorially natural desymmetrization of the Hurwitz numbers studied in enumerative algebraic geometry. Over the course of several papers, we developed the structural theory of monotone
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1f9e9b049178bed50511e7548e445e3d
https://doi.org/10.1007/s00026-017-0341-5
https://doi.org/10.1007/s00026-017-0341-5
We consider closed meandric systems, and their equivalent description in terms of the Hasse diagrams of the lattices of non-crossing partitions $NC(n)$. In this equivalent description, the number of components of a random meandric system of order $n$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0283188657a208d93a3b19c24a6af1dd
http://arxiv.org/abs/1708.05188
http://arxiv.org/abs/1708.05188
Publikováno v:
Journal of Combinatorics
Journal of Combinatorics, International Press, 2014, 5 (2), pp.245-269. ⟨10.4310/JOC.2014.v5.n2.a6⟩
Journal of Combinatorics, International Press, 2014, 5 (2), pp.245-269. ⟨10.4310/JOC.2014.v5.n2.a6⟩
A number of hook formulas and hook summation formulas have previously appeared, involving various classes of trees. One of these classes of trees is rooted trees with labelled vertices, in which the labels increase along every chain from the root ver
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0584fd4f8d04d17847e82788ce75a1ab
https://doi.org/10.4310/joc.2014.v5.n2.a6
https://doi.org/10.4310/joc.2014.v5.n2.a6
Autor:
Valentin Féray, Ian P. Goulden
Publikováno v:
Journal of Combinatorial Theory, Series A. 120:944-959
Several hook summation formulae for binary trees have appeared recently in the literature. In this paper we present an analogous formula for unordered increasing trees of size r, which involves r parameters. The right-hand side can be written nicely
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https://explore.openaire.eu/search/publication?articleId=doi_________::ea4a0c1f9f7b94aeef1ba13139112e90
https://doi.org/10.1016/j.jcta.2013.01.014
https://doi.org/10.1016/j.jcta.2013.01.014
Publikováno v:
Advances in Mathematics. 238:1-23
Hurwitz numbers count branched covers of the Riemann sphere with specified ramification, or equivalently, transitive permutation factorizations in the symmetric group with specified cycle types. Monotone Hurwitz numbers count a restricted subset of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3c40ca428ca47aefd4f452a04953dd36
https://doi.org/10.1016/j.aim.2013.01.012
https://doi.org/10.1016/j.aim.2013.01.012
Publikováno v:
Journal of Number Theory. 133(2):639-674
We derive formulas for the terms in the conjectured asymptotic expansions of the moments, at the central point, of quadratic Dirichlet $L$-functions, $L(1/2,\chi_d)$, and also of the $L$-functions associated to quadratic twists of an elliptic curve o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1103fd3060a1c6a335c1973ca34e9d8b
This article introduces mixed double Hurwitz numbers, which interpolate com- binatorially between the classical double Hurwitz numbers studied by Okounkov and the monotone double Hurwitz numbers introduced recently by Goulden, Guay-Paquet and No- vak
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fbf68869d20735fb24fb0d57fc7886e7
http://dspace.nbuv.gov.ua/handle/123456789/147740
http://dspace.nbuv.gov.ua/handle/123456789/147740
Publikováno v:
Annals of Combinatorics. 15:381-436
We define the dimension 2g − 1 Faber-Hurwitz Chow/homology classes on the moduli space of curves, parametrizing curves expressible as branched covers of $${{\mathbb{P}_1}}$$ with given ramification over ∞ and sufficiently many fixed ramification
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https://doi.org/10.1007/s00026-011-0102-9
https://doi.org/10.1007/s00026-011-0102-9