Given a prime, p, we prove that if a function can be represented as a restricted power series, then the function is analytic.
Level of Degree
Mathematics & Statistics
First Committee Member (Chair)
Second Committee Member
Third Committee Member
p-adic, arithmetic differential operator, Fermat quotient operator
Brandenburg, Marshall. "Arithmetic Differential Operators on Z_p^r." (2020). https://digitalrepository.unm.edu/math_etds/152