AN EXPOSITION OF THE RIEMANN ZETA FUNCTION

This thesis is an exposition of the Riemann zeta function. Included are techniques of analytic continuation and relationships to special functions. Some generalizations of the Riemann zeta function are outlined, as well as the calculation of zeta constants and the development of some identities. Additionally, one of the great unsolved problems of mathematics, the Riemann hypothesis, is discussed.

Department dc:contributor.department

Mathematics

Grantor dc:publisher

East Carolina University

Year dc:date.issued

2014

Author dc:creator

• Molokach, John

Advisor dc:contributor.advisor

• Fucci, Guglielmo

• Mathematics
• Complex analysis
• Number theory
• Zeta function

Handle dc:identifier.uri

http://hdl.handle.net/10342/4703

OAI identifier oai:identifier

oai:thescholarship.ecu.edu:10342/4703