Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Lower ramification numbers of wildly ramified power series
Linnaeus University, Faculty of Technology, Department of Mathematics.
2014 (English)Independent thesis Advanced level (degree of Master (One Year)), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

In this thesis we study lower ramification numbers of power series tan- gent to the identity that are defined over fields of positive characteristics. Let f be such a series, then f has a fixed point at the origin and the corresponding lower ramification numbers of f are then, up to a constant, the multiplicity of zero as a fixed point of iterates of f. In this thesis we classify power series having ‘small’ ramification numbers. The results are then used to study ramification numbers of polynomials not tangent to the identity. We also state a few conjectures motivated by computer experiments that we performed. 

Place, publisher, year, edition, pages
2014.
Keyword [en]
Lower ramification numbers, Minimal ramification, Ramified polynomials, Ramified power series, Difference equations, Recurrence relations, Optimal cycles, Periodic points
National Category
Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-35313OAI: oai:DiVA.org:lnu-35313DiVA: diva2:726501
Educational program
Mathematics and Modelling, Master Programme, 60 credits
Supervisors
Examiners
Available from: 2014-06-19 Created: 2014-06-18 Last updated: 2014-06-19Bibliographically approved

Open Access in DiVA

fulltext(8054 kB)93 downloads
File information
File name FULLTEXT01.pdfFile size 8054 kBChecksum SHA-512
c35bd081d254f5df85358350ceb9813f31baba52219d0906e6a8e76a71f028a23fbba957ea35ef99fca2917bd0ae9e338e13c16cb9f548227537b94b1f351441
Type fulltextMimetype application/pdf

By organisation
Department of Mathematics
Mathematics

Search outside of DiVA

GoogleGoogle Scholar
Total: 93 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

urn-nbn

Altmetric score

urn-nbn
Total: 235 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf