Apéry polynomials and the multivariate saddle point method

DOI10.1007/s00365-014-9245-3zbMath1304.30050arXiv1307.0341OpenAlexW2069638964MaRDI QIDQ485355

Thorsten Neuschel

Publication date: 9 January 2015

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.0341

zbMATH Keywords

asymptotic distribution of zerosasymptotic behavior of the Apéry polynomialsmultivariate saddle point method

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials and rational functions of one complex variable (30C10) Asymptotic representations in the complex plane (30E15)

Related Items (2)

Asymptotics for characteristic polynomials of Wishart type products of complex Gaussian and truncated unitary random matrices ⋮ Helmholtz and Gibbs ensembles, thermodynamic limit and bistability in polymer lattice models

Cites Work

• On sums of Apéry polynomials and related congruences
• A proof that Euler missed. Apéry's proof of the irrationality of \(\zeta(3)\). An informal report
• Analysis I. Integral presentations asymptotic methods
• Another congruence for the Apéry numbers
• An asymptotic formula for binomial sums
• Binomial polynomials
• Catalan and Apéry numbers in residue classes
• A uniform version of Laplace´s method for contour integrals
• The 2-log-convexity of the Apéry Numbers
• Arithmetic properties of Apéry numbers
• A Note on the Irrationality of ζ(2) and ζ(3)
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