DMTCS

2005 International Conference on Analysis of Algorithms

Conrado Martínez (ed.)

DMTCS Conference Volume AD (2005), pp. 409-416


author: Andreas Weiermann
title: Analytic combinatorics for a certain well-ordered class of iterated exponential terms
keywords: analytic combinatorics, Tauberian theorems orders of infinity, slow varying functions, ordinals
abstract: The aim of this paper is threefold: firstly, to explain a certain segment of ordinals in terms which are familiar to the analytic combinatorics community, secondly to state a great many of associated problems on resulting count functions and thirdly, to provide some weak asymptotic for the resulting count functions. We employ for simplicity Tauberian methods. The analytic combinatorics community is encouraged to provide (maybe in joint work) sharper results in future investigations.
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reference: Andreas Weiermann (2005), Analytic combinatorics for a certain well-ordered class of iterated exponential terms, in 2005 International Conference on Analysis of Algorithms, Conrado Martínez (ed.), Discrete Mathematics and Theoretical Computer Science Proceedings AD, pp. 409-416
bibtex: For a corresponding BibTeX entry, please consider our BibTeX-file.
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