×

On the functional equation of the Artin L-function for characters of real representations. (English) Zbl 0256.12010


MSC:

11R42 Zeta functions and \(L\)-functions of number fields
11S40 Zeta functions and \(L\)-functions
PDFBibTeX XMLCite
Full Text: DOI EuDML

References:

[1] Armitage, J.V.: Zeta functions with a zero ats=1/2. Inventiones math.15, 199-207 (1972). · Zbl 0233.12006 · doi:10.1007/BF01404125
[2] Fröhlich, A.: Artin Root Numbers and Normal Integral Bases for Quaternion Fields. Inventiones math.17, 143-166 (1972). · Zbl 0261.12008 · doi:10.1007/BF01418937
[3] Fröhlich, A.: The root numbers, conductors and representations of Artin for generalised quaternion groups. · Zbl 0321.12018
[4] Grothendieck, A.: Sém. Bourbaki 1964/65, exposé 279.
[5] Lamprecht, E.: Allgemeine Theorie der Gaußschen Summen in endlichen kommutativen Ringen. Math. Nachn.9, 149-196 (1953). · Zbl 0050.04401 · doi:10.1002/mana.19530090303
[6] Lang, S.: Algebraic Number Theory. Reading-London: Addison-Wesley 1970. · Zbl 0211.38404
[7] Serre, J.-P.: Conducteurs d’Artin des caractères réels. Inventiones math.14, 173-183 (1971). · Zbl 0229.13006 · doi:10.1007/BF01418887
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.