Abstract
dc:description.abstractIn this dissertation we will prove some ABC Theorems, namely for relatively prime by pairs p-adic entire functions in one variable, for p-adic meromorphic functions in several variables without common factors, under the hypothesis that no subsum vanishes, and also for pairwise relatively prime p-adic entire functions of several variables. In this thesis we will also prove a few generalizations of Buium's results that he used in order to prove his ABC Theorems for isotrivial abelian varieties, respectively with trace zero. We hope to be able to use these results in order to prove a version of an ABC Theorem for any abelian variety over a function field.
Degree
thesis:*- Name thesis:degree_name
- Mathematics
- Level thesis:degree_level
- Doctoral
- Discipline thesis:degree_discipline
- Mathematics & Statistics
- Year
- 2014
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Toropu, Cristina
- Contributors dc:contributor
-
- Buium, Alexandr
- Alexandru Buium
- Charles Boyer
- Michael Nakamaye
- Gordon Heier
Subjects
dc:subject × 1Rights
- Language dc:language
- English
Identifiers
dc:identifier.*- OAI identifier oai:identifier
- oai:digitalrepository.unm.edu:math_etds-1048