Analytic combinatorics for a certain well-ordered class of iterated exponential terms
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...
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| Format: | Article |
| Language: | English |
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Discrete Mathematics & Theoretical Computer Science
2005-01-01
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| Series: | Discrete Mathematics & Theoretical Computer Science |
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| Online Access: | https://dmtcs.episciences.org/3379/pdf |
| _version_ | 1827324175835987968 |
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| author | Andreas Weiermann |
| author_facet | Andreas Weiermann |
| author_sort | Andreas Weiermann |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-25T02:07:52Z |
| format | Article |
| id | doaj.art-f983f3ce048e46a6b91a2edb82e7160e |
| institution | Directory Open Access Journal |
| issn | 1365-8050 |
| language | English |
| last_indexed | 2024-04-25T02:07:52Z |
| publishDate | 2005-01-01 |
| publisher | Discrete Mathematics & Theoretical Computer Science |
| record_format | Article |
| series | Discrete Mathematics & Theoretical Computer Science |
| spelling | doaj.art-f983f3ce048e46a6b91a2edb82e7160e2024-03-07T14:30:52ZengDiscrete Mathematics & Theoretical Computer ScienceDiscrete Mathematics & Theoretical Computer Science1365-80502005-01-01DMTCS Proceedings vol. AD,...Proceedings10.46298/dmtcs.33793379Analytic combinatorics for a certain well-ordered class of iterated exponential termsAndreas Weiermann0https://orcid.org/0000-0002-5561-5323Mathematical InstituteThe 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.https://dmtcs.episciences.org/3379/pdfanalytic combinatoricstauberian theorems orders of infinityslow varying functionsordinals[info.info-ds] computer science [cs]/data structures and algorithms [cs.ds][info.info-dm] computer science [cs]/discrete mathematics [cs.dm][math.math-co] mathematics [math]/combinatorics [math.co][info.info-cg] computer science [cs]/computational geometry [cs.cg] |
| spellingShingle | Andreas Weiermann Analytic combinatorics for a certain well-ordered class of iterated exponential terms Discrete Mathematics & Theoretical Computer Science analytic combinatorics tauberian theorems orders of infinity slow varying functions ordinals [info.info-ds] computer science [cs]/data structures and algorithms [cs.ds] [info.info-dm] computer science [cs]/discrete mathematics [cs.dm] [math.math-co] mathematics [math]/combinatorics [math.co] [info.info-cg] computer science [cs]/computational geometry [cs.cg] |
| title | Analytic combinatorics for a certain well-ordered class of iterated exponential terms |
| title_full | Analytic combinatorics for a certain well-ordered class of iterated exponential terms |
| title_fullStr | Analytic combinatorics for a certain well-ordered class of iterated exponential terms |
| title_full_unstemmed | Analytic combinatorics for a certain well-ordered class of iterated exponential terms |
| title_short | Analytic combinatorics for a certain well-ordered class of iterated exponential terms |
| title_sort | analytic combinatorics for a certain well ordered class of iterated exponential terms |
| topic | analytic combinatorics tauberian theorems orders of infinity slow varying functions ordinals [info.info-ds] computer science [cs]/data structures and algorithms [cs.ds] [info.info-dm] computer science [cs]/discrete mathematics [cs.dm] [math.math-co] mathematics [math]/combinatorics [math.co] [info.info-cg] computer science [cs]/computational geometry [cs.cg] |
| url | https://dmtcs.episciences.org/3379/pdf |
| work_keys_str_mv | AT andreasweiermann analyticcombinatoricsforacertainwellorderedclassofiteratedexponentialterms |