Geodesic
Zeta function of representations of compact 𝑝-adic analytic groups
Jaikin-Zapirain, A.1
1 Departamento de Matemáticas, Facultad de Ciencias, Universidad Autónoma de Madrid, 28049 Madrid, Spain
Journal of the American Mathematical Society, Tome 19 (2006) no. 1, pp. 91-118

Voir la notice de l'article provenant de la source American Mathematical Society

Let $G$ be an FAb compact $p$-adic analytic group and suppose that $p>2$ or $p=2$ and $G$ is uniform. We prove that there are natural numbers $n_1, \ldots , n_k$ and functions $f_1(p^{-s}),\ldots , f_k(p^{-s})$ rational in $p^{-s}$ such that \[ \zeta ^G(s)=\sum _{\lambda \in \operatorname {Irr}(G)} \lambda (1) ^{-s}=\sum _{i=1}^kn_i^{-s}f_i(p^{-s}).\]
DOI : 10.1090/S0894-0347-05-00501-1

Jaikin-Zapirain, A. 1

1 Departamento de Matemáticas, Facultad de Ciencias, Universidad Autónoma de Madrid, 28049 Madrid, Spain 
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Jaikin-Zapirain, A. Zeta function of representations of compact 𝑝-adic analytic groups. Journal of the American Mathematical Society, Tome 19 (2006) no. 1, pp. 91-118. doi: 10.1090/S0894-0347-05-00501-1

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