Zobrazeno 1 - 10
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pro vyhledávání: '"Capparelli, Stefano"'
In a work of 1995, Alladi, Andrews, and Gordon provided a generalization of the two Capparelli identities involving certain classes of integer partitions. Inspired by that contribution, in particular as regards the general setting and the tools the a
Externí odkaz:
http://arxiv.org/abs/2004.02666
Autor:
Capparelli, Stefano, Del Fra, Alberto
By expressing polynomials in the basis of Chebyshev polynomials, certain families of hyperbolic polynomials appear naturally. Some of these families have all their roots in the interval $[-2,2]$. In many cases the span of the family of polynomials th
Externí odkaz:
http://arxiv.org/abs/1812.11869
Autor:
Capparelli, Stefano, Del Fra, Alberto
We introduce an equivalence relation on the set of Dyck paths and some operations on them. We determine a formula for the cardinality of those equivalence classes and use this information to obtain a combinatorial formula for the number of Dyck and M
Externí odkaz:
http://arxiv.org/abs/1505.01961
Autor:
Capparelli, Stefano, Pepe, Valentina
We prove that there do not exist non-Desarguesian symplectic semifield spreads of PG$(5,q^2)$, $q\geq 2^{14}$ even, whose associated semifield has center containing $\mathbb{F}_q$, by proving that the only $\mathbb{F}_q$-linear set of rank 6 disjoint
Externí odkaz:
http://arxiv.org/abs/1504.07845
Autor:
CAPPARELLI, STEFANO
Publikováno v:
The Rocky Mountain Journal of Mathematics, 2018 Jan 01. 48(1), 59-74.
Externí odkaz:
https://www.jstor.org/stable/26499720
Publikováno v:
RamanujanJ.12:379-397,2006
Using the theory of intertwining operators for vertex operator algebras we show that the graded dimensions of the principal subspaces associated to the standard modules for $\hat{\goth{sl}(2)}$ satisfy certain classical recursion formulas of Rogers a
Externí odkaz:
http://arxiv.org/abs/math/0310080
Publikováno v:
Comm. Contemporary Math. (5) (2003), 947-966
We use vertex operator algebras and intertwining operators to study certain substructures of standard $A_1^{(1)}$--modules, allowing us to conceptually obtain the classical Rogers--Ramanujan recursion. As a consequence we recover Feigin-Stoyanovsky's
Externí odkaz:
http://arxiv.org/abs/math/0211265
Autor:
Capparelli, Stefano
Publikováno v:
Transactions of the American Mathematical Society, 1996 Feb 01. 348(2), 481-501.
Externí odkaz:
https://www.jstor.org/stable/2155186
Akademický článek
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Publikováno v:
Glasnik matematički
Volume 57
Issue 2
Volume 57
Issue 2
In this paper we conjecture combinatorial Rogers-Ramanujan type colored partition identities related to standard representations of the affine Lie algebra of type (C^{(1)}_ell), (ellgeq2), and we conjecture similar colored partition identities with
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______951::ad1e2cd6a99701480853d25c3652fe8f
https://hrcak.srce.hr/289602
https://hrcak.srce.hr/289602