A relative trace formula for a compact Riemann surface
| Autor: | Martin, Kimball, McKee, Mark, Wambach, Eric |
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| Rok vydání: | 2015 |
| Předmět: | |
| Zdroj: | Int. J. Number Theory, Vol. 7, No. 2 (2011), pp. 389-429 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1142/S1793042111004101 |
| Popis: | We study a relative trace formula for a compact Riemann surface with respect to a closed geodesic $C$. This can be expressed as a relation between the period spectrum and the ortholength spectrum of $C$. This provides a new proof of asymptotic results for both the periods of Laplacian eigenforms along $C$ as well estimates on the lengths of geodesic segments which start and end orthogonally on $C$. Variant trace formulas also lead to several simultaneous nonvanishing results for different periods. Comment: 35 pages. This version contains minor corrections to the published version. The only change to the main results is a modification of the constants in the final theorem and corollary |
| Databáze: | arXiv |
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