Date of Award
Spring 1-1-2013
Document Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
Department
Mathematics
First Advisor
Peter D. T. A. Elliott
Second Advisor
Katherine E. Stange
Abstract
An improved estimate for multiplicative functions on arithmetic progressions is demonstrated, at the expense of potentially a uniformly bounded number of sums involving such functions braided with Dirichlet characters being separated for particular attention. An introduction to new methods for classifying these characters, which we call exceptional, is offered in the Conclusion.
Recommended Citation
Kish, Jonathan, "Harmonic Analysis on the Positive Rationals: Multiplicative Functions and Exceptional Dirichlet Characters" (2013). Mathematics Graduate Theses & Dissertations. 27.
https://scholar.colorado.edu/math_gradetds/27