Date of Award
Spring 5-8-2020
Level of Access Assigned by Author
Open-Access Thesis
Degree Name
Master of Arts (MA)
Department
Mathematics
Advisor
Julian Rosen
Second Committee Member
Jack Buttcane
Third Committee Member
Andrew Knightly
Abstract
Parseval's identity is an equality from Fourier analysis that relates an infinite series over the integers to an integral over an interval, which can be used to evaluate the exact value of some classes of infinite series. We compute the exact value of the Riemann zeta function at the positive even integers using the identity, and then we use it to compute the exact value of an infinite series whose summand is a rational function summable over the integers.
Recommended Citation
Poulin, James R., "Calculating Infinite Series Using Parseval's Identity" (2020). Electronic Theses and Dissertations. 3196.
https://digitalcommons.library.umaine.edu/etd/3196