Representation zeta functions of self-similar branched groups
Groups, geometry, and dynamics, Tome 11 (2017) no. 1, pp. 29-56
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We compute the numbers of irreducible linear representations of self-similar branched groups, by expressing these numbers as the coëfficients rn of a Dirichlet series ∑rnn−s.
Classification :
20-XX
Mots-clés : Self-similar groups, representation growth, zeta function, functional equation, analytic continuation
Mots-clés : Self-similar groups, representation growth, zeta function, functional equation, analytic continuation
Affiliations des auteurs :
Laurent Bartholdi  1
Laurent Bartholdi. Representation zeta functions of self-similar branched groups. Groups, geometry, and dynamics, Tome 11 (2017) no. 1, pp. 29-56. doi: 10.4171/ggd/386
@article{10_4171_ggd_386,
author = {Laurent Bartholdi},
title = {Representation zeta functions of self-similar branched groups},
journal = {Groups, geometry, and dynamics},
pages = {29--56},
year = {2017},
volume = {11},
number = {1},
doi = {10.4171/ggd/386},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/386/}
}
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