Test vectors for non‐Archimedean Godement–Jacquet zeta integrals
Given an induced representation of Langlands type (π,Vπ) of GLn(F) with F non‐Archimedean, we show that there exist explicit choices of matrix coefficient β and Schwartz–Bruhat function Φ for which the Godement–Jacquet zeta integral Z(s,β,Φ) attains the L‐function L(s,π).
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| Veröffentlicht in: | The Bulletin of the London Mathematical Society 2021-02, Vol.53 (1), p.92-99 |
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| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | Given an induced representation of Langlands type (π,Vπ) of GLn(F) with F non‐Archimedean, we show that there exist explicit choices of matrix coefficient β and Schwartz–Bruhat function Φ for which the Godement–Jacquet zeta integral Z(s,β,Φ) attains the L‐function L(s,π). |
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| ISSN: | 0024-6093 1469-2120 |
| DOI: | 10.1112/blms.12401 |