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Recursive formulas for partition functions [PDF]
Se estudia una familia de funciones, que comparten muchas propiedades con la función de partición clásica p(n). Se explica por qué estas funciones pueden llamarse "funciones de partición" y, en particular, algunas fórmulas recursivas son desarrolladas ...
Juan Boza Cordero
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On vector partition functions [PDF]
Let \(\mathbb{N}\) be the set of nonnegative integers and \(A = (a_1, \dots, a_n)\) a \(d \times n\)-matrix with entries in \(\mathbb{N}\). The corresponding vector partition function \(\varphi_A : \mathbb{N}^d \to \mathbb{N}\) is defined as follows: \(\varphi_A (u)\) is the number of integer vectors \((\lambda_1, \dots, \lambda_n) \in \mathbb{N}^n ...
Sturmfels, Bernd
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Almost Everywhere Behavior of Functions According to Partition Measures [PDF]
This paper will study almost everywhere behaviors of functions on partition spaces of cardinals possessing suitable partition properties. Almost everywhere continuity and monotonicity properties for functions on partition spaces will be established ...
William Chan, Stephen Jackson, Nam Trang
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Higher rank elliptic partition functions and multisymmetric elliptic functions [PDF]
We introduce and investigate a class of glM+1 partition functions which is an extension of the one introduced by Foda-Manabe. We characterize the partition functions by a nested version of Izergin-Korepin analysis, and determine the explicit forms, for ...
Allan John Gerrard +2 more
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Five-parameter logistic functions for partition curves [PDF]
A five-parameter logistic function (5PL) and a five-parameter generalised logistic function (5PGL) for partition generating symmetric and asymmetric partition curves are presented.
Membrey Wesley
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Kostant partition functions for affine Kac-Moody algebras [PDF]
Employing the method of generating functions in conjunction with various number-thoretic identities, we obtain recursion relations for the Kostant partition functions for the affine Kac-Moody algebras The partition functions for the higher rank algebras ...
T. S. Santhanam, R. Chakrabarti
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Factorization of rational six vertex model partition functions [PDF]
We show factorization formulas for a class of partition functions of rational six vertex model. First we show factorization formulas for partition functions under triangular boundary.
Kohei Motegi
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3d expansions of 5d instanton partition functions [PDF]
We propose a set of novel expansions of Nekrasov’s instanton partition functions. Focusing on 5d supersymmetric pure Yang-Mills theory with unitary gauge group on ℂq,t−12×S1 $$ {\mathrm{\mathbb{C}}}_{q,{t}^{-1}}^2\times {\mathbb{S}}^1 $$, we show that ...
Fabrizio Nieri, Yiwen Pan, Maxim Zabzine
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ON GENERALIGATIONS OF PARTITION FUNCTIONS [PDF]
In 1742, Leonhard Euler invented the generating function for P(n). Godfrey Harold Hardy said Srinivasa Ramanujan was the first, and up to now the only, Mathematician to discover any such properties of P(n).
ON GENERALIGATIONS OF PARTITION FUNCTIONS +1 more
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A partition of unity FEM for time-dependent diffusion problems using multiple enrichment functions [PDF]
An enriched partition of unity FEM is developed to solve time-dependent diffusion problems. In the present formulation, multiple exponential functions describing the spatial and temporal diffusion decay are embedded in the finite element approximation ...
Mohamed, M.S. +7 more
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