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Analytic combinatorics for a certain well-ordered class of iterated exponential terms

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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https://hal.inria.fr/hal-01184214
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Submitted on : Thursday, August 13, 2015 - 1:34:39 PM
Last modification on : Tuesday, August 13, 2019 - 10:16:02 AM
Long-term archiving on: : Saturday, November 14, 2015 - 10:22:55 AM

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  • HAL Id : hal-01184214, version 1

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Andreas Weiermann. Analytic combinatorics for a certain well-ordered class of iterated exponential terms. 2005 International Conference on Analysis of Algorithms, 2005, Barcelona, Spain. pp.409-416. ⟨hal-01184214⟩

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