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Functional equations of Selberg and Ruel...

Spilioti, Polyxeni...

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Functional equations of Selberg and Ruelle zeta functions for non-unitary twists by Spilioti, Polyxeni ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	01-01-2015
Summary	We consider the dynamical zeta functions of Selberg and Ruelle associated with the geodesic flow on a compact odd-dimensional hyperbolic manifold. These dynamical zeta functions are defined for a complex variable $s$ in some right-half plane of $\mathbb{C}$. In [Spi18], it was proved that they admit a meromorphic continuation to the whole complex plane. In this paper, we establish functional equations for them, relating their values at $s$ with those at $-s$. We prove also a determinant representation of the zeta functions, using the regularized determinants of certain twisted differential operators.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.00
Total read	-
URL	http://arxiv.org/abs/1507.05947

Citation

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AMA 11th EditionReferences

Spilioti, Polyxeni. Functional equations of Selberg and Ruelle zeta functions for non-unitary twists. N.A. January 01, 2015. Accessed August 17, 2025. https://online.provdatabase.com/cite/18810

APA 7th EditionReferences

Spilioti, Polyxeni. (2015). Functional equations of Selberg and Ruelle zeta functions for non-unitary twists. N.A. https://online.provdatabase.com/cite/18810

Chicago 17th EditionReferences

Spilioti, Polyxeni. Functional equations of Selberg and Ruelle zeta functions for non-unitary twists. N.A. 2015. https://online.provdatabase.com/cite/18810

HarvardReferences

Spilioti, Polyxeni. (2015). Functional equations of Selberg and Ruelle zeta functions for non-unitary twists. [Online]. N.A. Available from: https://online.provdatabase.com/cite/18810. (Accessed 17 August 2025).

Harvard AustraliaReferences

Spilioti, Polyxeni, 2015, Functional equations of Selberg and Ruelle zeta functions for non-unitary twists, N.A, viewed 17 August 2025, <https://online.provdatabase.com/cite/18810>

MLA 9th EditionWorks Cited

Spilioti, Polyxeni. Functional equations of Selberg and Ruelle zeta functions for non-unitary twists. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/18810.

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