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.

Included in

Mathematics Commons

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