Date of Award
2013-01-01
Degree Name
Master of Science
Department
Mathematical Sciences
Advisor(s)
Emil D. Schwab
Abstract
The thesis reviews Dirichlet convolution of arithmetic functions and some generalizations. First, we present the main properties of the Dirichlet convolution on the set of arithmetic functions and some characterizations of prime numbers via arithmetic functions are given. Then we explore the K-convolution and the regular convolutions and finally we extend the study of Dirichlet convolution in categories. We give also an example for the evaluation of the Mobius function of a Mobius category.
Language
en
Provenance
Received from ProQuest
Copyright Date
2013
File Size
77 pages
File Format
application/pdf
Rights Holder
Juan Carlos Villarreal
Recommended Citation
Villarreal, Juan Carlos, "Generalizations of Dirichlet Convolution" (2013). Open Access Theses & Dissertations. 1957.
https://scholarworks.utep.edu/open_etd/1957