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单词 Benson's Formula
释义

Benson's Formula

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 , avalue known as ``the'' Madelung Constant.

See also Madelung Constants


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


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