An equation for a Lattice Sum with

Here, the prime denotes that summation over (0, 0, 0) is excluded. The sum is numerically equal to , a value known as ``the'' Madelung Constant.

**References**

Borwein, J. M. and Borwein, P. B. *Pi & the AGM: A Study in Analytic Number Theory and Computational Complexity.*
New York: Wiley, p. 301, 1987.

Finch, S. ``Favorite Mathematical Constants.'' http://www.mathsoft.com/asolve/constant/mdlung/mdlung.html

© 1996-9

1999-05-26