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Formulae for some Artin root numbers

In: Tatra Mountains Mathematical Publications, vol. 20, no. 3
Stéphane Louboutin
Detaily:
Rok, strany: 2000, 19 - 29
O článku:
Let $N$ be a normal number field with Galois group any dicyclic group of order $4p,$ $p ≥ 3$ an odd prime. Let $L$ denote the real quadratic subfield of $N.$ We determine the root numbers which appear in the functional equations of the Artin $L$-functions $L(s,ψ ,N/Q)$ associated with the irreducible characters of degree two of the Galois group ${ Gal}(N/Q)$. We deduce that if $p$ is totally ramified in $N$ and $L =Q(sqrt p)$, then the Dedekind zeta function of $N$ has a zero of order $≥ (p-1)/2$ at $s =1/2.$
Ako citovať:
ISO 690:
Louboutin, S. 2000. Formulae for some Artin root numbers. In Tatra Mountains Mathematical Publications, vol. 20, no.3, pp. 19-29. 1210-3195.

APA:
Louboutin, S. (2000). Formulae for some Artin root numbers. Tatra Mountains Mathematical Publications, 20(3), 19-29. 1210-3195.