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If is a finite Galois extension with an almost monomial Galois group and if
is not a common zero for any two Artin L-functions associated to distinct complex irreducible characters of the
Galois group, then all Artin L-functions of are holomorphic at . We present examples and basic properties of almost monomial groups.
Zur Theorie der L-Reihen mit allgemeinen Gruppencharakteren,
Abh. Math. Semin. Univ. Hambg. 8 (1931), 292–306.
10.1007/BF02941010Search in Google Scholar
G. James and A. Kerber,
The Representation Theory of the Symmetric Group,
Addison-Wesley, Boston, 1991.
Search in Google Scholar
On holomorphic Artin L-functions,
Monatsh. Math. 186 (2018), no. 4, 679–683.
10.1007/s00605-017-1120-4Search in Google Scholar
The GAP Group,
GAP – Groups, Algorithms, and Programming, Version 4.10.2; 2019, https://www.gap-system.org.
10.1093/oso/9780190867522.003.0002Search in Google Scholar
Published Online: 2020-03-10
Published in Print: 2020-07-01
© 2020 Walter de Gruyter GmbH, Berlin/Boston