Abstract
Let F be a non-archimedean local field of characteristic zero. Jacquet and Shalika attached a family of zeta integrals to unitary irreducible generic representations π of GLn(F). In this paper, we show that the Jacquet-Shalika integral attains a certain L-function, the so-called formal exterior square L-function, when the Whittaker function is associated to a newform for π. By considerations on the Galois side, formal exterior square L-functions are equal to exterior square L-functions for some principal series representations. Local newform, exterior square L-function, Rankin-Selberg method, zeta integral 22E50, 22E35
Original language | English |
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Pages (from-to) | 1995-2010 |
Number of pages | 16 |
Journal | International Journal of Number Theory |
Volume | 9 |
Issue number | 8 |
DOIs | |
Publication status | Published - Dec 1 2013 |
Externally published | Yes |
Keywords
- Local newform
- Rankin-Selberg method
- exterior square L-function
- zeta integral
ASJC Scopus subject areas
- Algebra and Number Theory