Publication Date
Summer 7-15-2020
Abstract
Given a prime, p, we prove that if a function can be represented as a restricted power series, then the function is analytic.
Degree Name
Mathematics
Level of Degree
Masters
Department Name
Mathematics & Statistics
First Committee Member (Chair)
Alexandru Buium
Second Committee Member
Janet Vassilev
Third Committee Member
Dimiter Vassilev
Language
English
Keywords
p-adic, arithmetic differential operator, Fermat quotient operator
Document Type
Thesis
Recommended Citation
Brandenburg, Marshall. "Arithmetic Differential Operators on Z_p^r." (2020). https://digitalrepository.unm.edu/math_etds/152