Date of Award
Doctor of Philosophy (PhD)
Peter D. T. A. Elliott
Katherine E. Stange
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.
Kish, Jonathan, "Harmonic Analysis on the Positive Rationals: Multiplicative Functions and Exceptional Dirichlet Characters" (2013). Mathematics Graduate Theses & Dissertations. 27.