arXiv subjects
Publications and source records attributed to Srinivasan Arunachalam.
An alternative formula is presented for the evaluation of the zeta function values $ζ(2k)$ without the need for Bernoulli numbers. Our formula is recursive, and improves the efficiency with which we can calculate large values of the zeta function.
We have looked at the evaluation of the Riemann Zeta function at odd arguments and have provided a simple formula to approximate the value with exponential convergence. We have compared it with various other formulae present in literature. We have also evaluated an expression for the zeta function on the plane $\Re(s) = 1$.