A generalization of S. Zhang’s local Gross-Zagier formula for GL(2)
S. Zhang’s local Gross-Zagier formulae for GL2 can be interpreted as a fundamental lemma for some relative trace formulae. From this point of view we prove the existence of the corresponding local transfer. Further we construct universally defined geometric operators which realize the behavior of He...
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| Main Author: | |
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| Format: | Chapter/Article Conference Paper |
| Language: | English |
| Published: |
27 September 2016
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| In: |
Directions in Number Theory
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| DOI: | 10.1007/978-3-319-30976-7_6 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1007/978-3-319-30976-7_6 Verlag, Volltext: https://link.springer.com/chapter/10.1007/978-3-319-30976-7_6 
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| Author Notes: | Kathrin Maurischat |
| Summary: | S. Zhang’s local Gross-Zagier formulae for GL2 can be interpreted as a fundamental lemma for some relative trace formulae. From this point of view we prove the existence of the corresponding local transfer. Further we construct universally defined geometric operators which realize the behavior of Hecke operators on the analytic side. We use them to give a proof of the local Gross-Zagier formula for GL2. We work locally and throughout computationally. |
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| Item Description: | Im Titel erscheint die 2 tiefgestellt Gesehen am 21.03.2018 |
| Physical Description: | Online Resource |
| ISBN: | 9783319309767 |
| DOI: | 10.1007/978-3-319-30976-7_6 |