Algebra & Number Theory Seminar | Department Home
Texas Tech University
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.