Resolvent Trace Formula and Determinants of Laplacians on Orbifold Riemann Surfaces

For a nonnegative integer, we consider the -Laplacian Δₙ acting on the space of -differentials on a confinite Riemann surface X which has ramification points. The trace formula for the resolvent kernel is developed along the line à la Selberg. Using the trace formula, we compute the regularized...

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2021
1. Verfasser: Teo, Lee-Peng
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2021
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/211444
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Resolvent Trace Formula and Determinants of Laplacians on Orbifold Riemann Surfaces. Lee-Peng Teo. SIGMA 17 (2021), 083, 40 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine