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Analytic methods in combinatorial number theory
Thesis (MSc)--Stellenbosch University, 2015
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| Other Authors: | |
| Format: | Thesis |
| Language: | en_ZA |
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Stellenbosch : Stellenbosch University
2015
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| _version_ | 1867613776215277568 |
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| access_status_str | Open Access |
| author | Baker, Liam Bradwin |
| author2 | Wagner, Stephan |
| author_browse | Baker, Liam Bradwin Wagner, Stephan |
| author_facet | Wagner, Stephan Baker, Liam Bradwin |
| author_sort | Baker, Liam Bradwin |
| collection | Thesis |
| dc_rights_str_mv | Stellenbosch University |
| description | Thesis (MSc)--Stellenbosch University, 2015 |
| format | Thesis |
| id | oai:scholar.sun.ac.za:10019.1/98017 |
| institution | Stellenbosch University (South Africa) |
| language | en_ZA |
| last_indexed | 2026-06-10T12:41:31.332Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository |
| publishDate | 2015 |
| publishDateRange | 2015 |
| publishDateSort | 2015 |
| publisher | Stellenbosch : Stellenbosch University |
| publisherStr | Stellenbosch : Stellenbosch University |
| record_format | dspace |
| source_str | SUNScholar — Stellenbosch University Repository |
| spelling | oai:scholar.sun.ac.za:10019.1/98017 Analytic methods in combinatorial number theory Baker, Liam Bradwin Wagner, Stephan Stellenbosch University. Faculty of Science. Department Mathematical Sciences (Mathematics) Combinatorics Number theory Asymptotic expansions UCTD Analytic methods -- Mathematics Thesis (MSc)--Stellenbosch University, 2015 ENGLISH ABSTRACT : Two applications of analytic techniques to combinatorial problems with number-theoretic flavours are shown. The first is an application of the real saddle point method to derive second-order asymptotic expansions for the number of solutions to the signum equation of a general class of sequences. The second is an application of more elementary methods to yield asymptotic expansions for the number of partitions of a large integer into powers of an integer b where each part has bounded multiplicity. AFRIKAANSE OPSOMMING : Ons toon twee toepassings van analitiese tegnieke op kombinatoriese probleme met getalteoretiese geure. Die eerste is ’n toepassing van die reële saalpuntmetode wat tweede-orde asimptotiese uitbreidings vir die aantal oplossings van die ‘signum’ vergelyking vir ’n algemene klas van rye aflewer. Die tweede is ’n toepassing van meer elementêre metodes wat asimptotiese uitbreidings vir die aantal partisies van ’n groot heelgetal in magte van ’n heelgetal b, waar elke deel ’n begrensde meervoudigheid het, aflewer 2015-12-14T07:43:49Z 2015-12-14T07:43:49Z 2015-12 Thesis http://hdl.handle.net/10019.1/98017 en_ZA Stellenbosch University viii, 61 pages : illustrations (some colour) application/pdf Stellenbosch : Stellenbosch University |
| spellingShingle | Combinatorics Number theory Asymptotic expansions UCTD Analytic methods -- Mathematics Baker, Liam Bradwin Analytic methods in combinatorial number theory |
| title | Analytic methods in combinatorial number theory |
| title_full | Analytic methods in combinatorial number theory |
| title_fullStr | Analytic methods in combinatorial number theory |
| title_full_unstemmed | Analytic methods in combinatorial number theory |
| title_short | Analytic methods in combinatorial number theory |
| title_sort | analytic methods in combinatorial number theory |
| topic | Combinatorics Number theory Asymptotic expansions UCTD Analytic methods -- Mathematics |
| url | http://hdl.handle.net/10019.1/98017 |
| work_keys_str_mv | AT bakerliambradwin analyticmethodsincombinatorialnumbertheory |