Zeta function regularization: Difference between revisions

Revision as of 20:43, 27 October 2005

Revision as of 21:19, 28 October 2005

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TheIm [[mathematics]], '''zeta regularization''' is a [[summability method]] that allows one to give some meaningful values to seemingly meaningless expressions using the [[Riemann zeta function|zeta function]].

to seemingly meaningless expressions using the [[Riemann zeta function|zeta function]].

For example

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This infinite sum appears in the calculation of the [[Casimir effect|Casimir force]], and the

regularized value of <math>-\frac{1}{12} (\Re)</math> gives the correct physically measurable result.

:<math>-\frac{1}{12} (\Re)</math>

gives the correct physically measurable result.

[[Category:Mathematical analysis]]

{{math-stub}}