Results 81 to 90 of about 1,959,412 (322)
A note on the exact formulas for certain $2$-color partitions
Comptes Rendus. MathématiqueLet $p\le 23$ be a prime and $a_p(n)$ count the number of partitions of $n$ where parts that are multiple of $p$ come up with $2$ colors. Using a result of Sussman, we derive the exact formula for $a_p(n)$ and obtain an asymptotic formula for $\log a_p(n)
Guadalupe, Russelle
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Canonical structure of BHT massive gravity in warped AdS3 sector
Physics Letters B, 2016 We investigate the asymptotic structure of the three dimensional Warped Anti-de Sitter (WAdS3) black holes in the Bergshoeff–Hohm–Townsend (BHT) massive gravity using the canonical Hamiltonian formalism.
Davood Mahdavian Yekta
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OPE statistics from higher-point crossing
Journal of High Energy Physics, 2022 We present new asymptotic formulas for the distribution of OPE coefficients in conformal field theories. These formulas involve products of four or more coefficients and include light-light-heavy as well as heavy-heavy-heavy contributions.
Tarek Anous +3 more
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An asymptotic formula for the t-core partition function and a conjecture of Stanton
, 2008 For a positive integer t, a partition is said to be a t-core if each of the hook numbers from its Ferrers–Young diagram is not a multiple of t. In 1996, Granville and Ono proved the t-core partition conjecture, that a t ( n ) , the number of t-core ...
Jaclyn Anderson
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An asymptotic formula for the Koornwinder polynomials
Journal of Computational and Applied Mathematics, 2005 This paper incorporates the derivation of a leading asymptotic formula for Koornwinder multivariate Askey-Wilson polynomials whose degree tends to infinity. For the single variable case the asymptotic formula derived here is shown to be in agreement with the known corresponding result for Askey-Wilson polynomials.
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Asymptotic Formulas and Generalized Dedekind Sums [PDF]
Experimental Mathematics, 1998 We find asymptotic formulas as $n\to\infty$ for the coefficients $a(r\hbox{,}\,n)$ defined by $$ \prod_{\nu=1}^\infty\,(1-x^\nu)^{-\nu^r} =\sum_{n=0}^\infty a(r\hbox{,}\,n)x^n\hbox{.} $$ (The case $r=1$ gives the number of plane partitions of $n$.) Generalized Dedekind sums occur naturally and are studied using the Finite Fourier Transform. The methods
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A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
Advanced Intelligent Discovery, EarlyView.The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
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Stability Analysis of Fractional Differential Systems with Order Lying in (1, 2)
Advances in Difference Equations, 2011 The stability of -dimensional linear fractional differential systems with commensurate order and the corresponding perturbed systems is investigated.
Zhang Fengrong, Li Changpin
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Average Widths and Optimal Recovery of Multivariate Besov Classes in Orlicz Spaces
MathematicsIn this paper, we study the average Kolmogorov σ–widths and the average linear σ–widths of multivariate isotropic and anisotropic Besov classes in Orlicz spaces and give the weak asymptotic estimates of these two widths.
Xinxin Li, Garidi Wu
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Asymptotic Behaviors of Intermediate Points in the Remainder of the Euler-Maclaurin Formula
Abstract and Applied Analysis, 2010 The Euler-Maclaurin formula is a very useful tool in calculus and numerical analysis. This paper is devoted to asymptotic expansion of the intermediate points in the remainder of the generalized Euler-Maclaurin formula when the length of the integral ...
Aimin Xu, Zhongdi Cen
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