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Department of Mathematics
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Rings and Modules Seminar
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Department of Mathematics
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Rings and Modules Seminar
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R. Padmanabhan
padman(at)cc(dot)umanitoba(dot)ca
Department of Mathematics
University of Manitoba
Tuesday, September 29, 2009
Abstract:
I have the result, but I do not yet know how to get it. Last week we mentioned that Gauss invented the notion of the arithmetic-geometric mean to determine the value of the elliptic integrals. In this talk we will derive the actual formula for the elliptic integral corresponding to the arc-length of a lemniscate and prove that the integral remains invariant under the various Gauss transforms (using the arithmetic-geometric mean). |