Recurrence Relations for Values of the Riemann Zeta Function in Odd Integers

Tobias Kyrion

It is commonly known that $\zeta (2k)=q_k\frac{\zeta (2k+2)}{{\pi }^2}$ with known rational numbers $q_k$. In this work we construct recurrence relations of the form $\sum_{k = 1}^{\infty…