The reciprocity formula for multidimensional theta functions.

by Richard Ernest Bellman, Ronald F. Lehman

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Proof of the reciprocity formula for multidimensional theta functions. The proof is based on the idea that an identity can be proved (1) by first finding a set of conditions that uniquely determines the function represented by the expression on one side of the identity and (2) by then verifying that these conditions are satisfied by the function represented by the expression on the other side.

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