Fucci, GuglielmoMolokach, John2015-02-022015-02-022014http://hdl.handle.net/10342/4703This 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.  104 p.dissertations, academicMathematicsComplex analysisNumber theoryZeta functionSeries, InfiniteAnalytic continuationRiemann hypothesisMaster's Thesis