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A proof of the Landsberg-Schaar relation by finite methods. (arXiv:1810.06172v1 [math.NT])

来源于:arXiv
The Landsberg-Schaar relation is a classical identity between quadratic Gauss sums, normally used as a stepping stone to prove quadratic reciprocity. The Landsberg-Schaar relation itself is usually proved by carefully taking a limit in the functional equation for Jacobi's theta function. In this article we present a direct proof, avoiding any analysis. 查看全文>>