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تسجيل

Euler L-Function

المؤلف:  Knapp, A. W.

المصدر:  "Group Representations and Harmonic Analysis, Part II." Not. Amer. Math. Soc. 43

الجزء والصفحة:  537-549

21-12-2019

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Euler L-Function

A special case of the Artin L-function for the polynomial . It is given by

(1)

where

		{1 for p=1 (mod 4); -1 for p=3 (mod 4)" src="http://mathworld.wolfram.com/images/equations/EulerL-Function/Inline4.gif" style="height:41px; width:133px" />	(2)
			(3)

where  is a Legendre symbol.

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REFERENCES:

Knapp, A. W. "Group Representations and Harmonic Analysis, Part II." Not. Amer. Math. Soc. 43, 537-549, 1996.