An equation derived by Kronecker:

where

, is the Riemann Zeta Function, is the Dirichlet Eta Function, is the Gamma Function, and the primed sum omits infinite terms (Selberg and Chowla 1967).

**References**

Borwein, J. M. and Borwein, P. B. *Pi & the AGM: A Study in Analytic Number Theory and Computational Complexity.*
New York: Wiley, pp. 296-297, 1987.

Selberg, A. and Chowla, S. ``On Epstein's Zeta-Function.'' *J. Reine. Angew. Math.* **227**, 86-110, 1967.

© 1996-9

1999-05-25