[Torsion analytique, fonctions zêta dynamiques et intégrales orbitales]
L'objet de cette Note est de démontrer une égalité entre la torsion analytique et la valeur en zéro d'une fonction zêta dynamique associée à un fibré vectoriel unitairement plat sur une variété compacte localement symétrique réductive. Nous démontrons aussi une conjecture de Fried.
The purpose of this Note is to prove an identity between the analytic torsion and the value at zero of a dynamical zeta function associated with an acyclic unitarily flat vector bundle on a closed locally symmetric reductive manifold, which solves a conjecture of Fried.
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@article{CRMATH_2016__354_4_433_0,
author = {Shu Shen},
title = {Analytic torsion, dynamical zeta functions and orbital integrals},
journal = {Comptes Rendus. Math\'ematique},
pages = {433--436},
publisher = {Elsevier},
volume = {354},
number = {4},
year = {2016},
doi = {10.1016/j.crma.2016.01.008},
language = {en},
}
Shu Shen. Analytic torsion, dynamical zeta functions and orbital integrals. Comptes Rendus. Mathématique, Volume 354 (2016) no. 4, pp. 433-436. doi : 10.1016/j.crma.2016.01.008. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2016.01.008/
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