p-adic Gauss integrals from the Poison summarizing formula

Details p-adic Gauss integrals from the Poison summarizing formula p-adic Gauss integrals from the Poison summarizing formula

2011-01-04

arxiv.org/abs/1101.0769v1

Physics

Mathematical Physics

Scientific paper

In the present paper we show how to obtain the well-known formula for Gauss
sums and the Gauss reciprocity low from the Poison summarizing formula by using
some ideas of renormalization and ergodic theories. We also apply our method to
obtain new simple derivation of the standard formula for p-adic Gauss
integrals.

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