Algebra & Number Theory Seminar | Department Home


Texas Tech University
Algebra & Number Theory Seminar
2018-2019

Department of Mathematics & Statistics
Math 112
Wednesdays 3:00-4:00 pm


Cezar Lupu

Texas Tech University

Wednesday, 28 November 2018

Math 112, 3:00 pm

Title: Series representations for Apery constant ζ(3) involving values ζ(2n)

Abstract: In this talk, we discuss about some new "fast converging" series representations for Apery constant ζ(3) involving the values ζ(2n) using ideas from my previous talk. One of the main ingredients used in the derivation of such representations is the Clausen acceleration formula as well as power series for trigonometric functions. The representations obtained are computed in terms of even and odd values for the Riemann zeta and Dirichlet beta functions.