Show simple item record

dc.contributor.authorPoston, Mark
dc.description.abstractThis project uses zeta functions, functions that describe the behavior of different systems that involve counting things, to determine an analog of the Prime Number Theorem (PNT) for dynatomic curves. Specifically, the properties of the particular zeta function related to dynatomic curves. The Riemann Zeta function describes the behavior of prime numbers. The properties of this zeta function are used heavily in the proof of the PNT, the same is true for this setting. Since the zeta function associated with dynatomic curves has not been studied nearly as much as many other zeta functions, this project required making some calculations with this zeta function. Using the results, important properties of the zeta function were determined. An analog of the PNT will be formulated with the proof coming from the previously derived properties of the zeta function.en_US
dc.publisherMontana State Universityen_US
dc.titleZeta Functions and the Prime Number Theorem on Dynatomic Curvesen_US
mus.citation.conferenceStudent Research Celebrationen_US
mus.relation.collegeCollege of Letters & Scienceen_US
mus.relation.departmentMathematical Sciences.en_US
mus.relation.universityMontana State University - Bozemanen_US

Files in this item


This item appears in the following Collection(s)

Show simple item record

MSU uses DSpace software, copyright © 2002-2017  Duraspace. For library collections that are not accessible, we are committed to providing reasonable accommodations and timely access to users with disabilities. For assistance, please submit an accessibility request for library material.