Assertion: gauss | /r/CapableOf | prove in this case
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Source sentences:
text: In this case Gauss proved that G(χ) = p​1⁄ 2 or ip​1⁄ 2 for p congruent to 1 or 3 modulo 4 respectively (the quadratic Gauss sum can also be evaluated by Fourier analysis as well as by contour integration).