Change search
ReferencesLink to record
Permanent link

Direct link
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
Keyword [en]
Lower ramification numbers, Minimal ramification, Ramified polynomials, Ramified power series, Difference equations, Recurrence relations, Optimal cycles, Periodic points
National Category
URN: urn:nbn:se:lnu:diva-35313OAI: diva2:726501
Educational program
Mathematics and Modelling, Master Programme, 60 credits
Available from: 2014-06-19 Created: 2014-06-18 Last updated: 2014-06-19Bibliographically approved

Open Access in DiVA

fulltext(8054 kB)75 downloads
File information
File name FULLTEXT01.pdfFile size 8054 kBChecksum SHA-512
Type fulltextMimetype application/pdf

By organisation
Department of Mathematics

Search outside of DiVA

GoogleGoogle Scholar
Total: 75 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

Total: 161 hits
ReferencesLink to record
Permanent link

Direct link