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Characterization of 2-ramified power seriesPrimeFaces.cw("AccordionPanel","widget_formSmash_some",{id:"formSmash:some",widgetVar:"widget_formSmash_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_all",{id:"formSmash:all",widgetVar:"widget_formSmash_all",multiple:true});
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2017 (English)In: Journal of Number Theory, ISSN 0022-314X, E-ISSN 1096-1658, Vol. 174, p. 258-273Article in journal (Refereed) Published
##### Abstract [en]

##### Place, publisher, year, edition, pages

2017. Vol. 174, p. 258-273
##### Keywords [en]

Lower ramification numbers, iterations of power series, difference equations, arithmetic dynamics
##### National Category

Other Mathematics
##### Research subject

Natural Science, Mathematics
##### Identifiers

URN: urn:nbn:se:lnu:diva-58627DOI: 10.1016/j.jnt.2016.10.005ISI: 000392902700016OAI: oai:DiVA.org:lnu-58627DiVA, id: diva2:1051531
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##### Note

##### In thesis

In this paper we study lower ramification numbers of power series tangent to the identity that are defined over fields of positive characteristics p. Let g be such a series, then g has a fixed point at the origin and the corresponding lower ramification numbers of g are then, up to a constant, the degree of the first non-linear term of p-power iterates of g. The result is a complete characterization of power series g having ramification numbers of the form 2 ( 1 + p + âŠ + p n ) . Furthermore, in proving said characterization we explicitly compute the first significant terms of g at its pth iterate.

Erratum published in: Nordqvist, Jonas. 2017. Corrigendum to “Characterization of 2-ramified power series” [J. Number Theory 174 (2017) 258–273], Journal of Number Theory, 178: 208.

Available from: 2016-12-02 Created: 2016-12-02 Last updated: 2018-01-17Bibliographically approved1. Ramification numbers and periodic points in arithmetic dynamical systems$(function(){PrimeFaces.cw("OverlayPanel","overlay1175046",{id:"formSmash:j_idt759:0:j_idt763",widgetVar:"overlay1175046",target:"formSmash:j_idt759:0:parentLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

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