LOCAL EXTERIOR SQUARE AND ASAI L-FUNCTIONS FOR GL(n) IN ODD CHARACTERISTIC
- 주제(키워드) Bernstein–Zelevinsky derivatives; local exterior square and Asai L-functions in positive characteristic; Rankin–Selberg methods
- 등재 SCIE, SCOPUS
- OA유형 All Open Access; Green Open Access; Hybrid Gold Open Access
- 발행기관 Mathematical Sciences Publishers
- 발행년도 2023
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000211888
- 본문언어 영어
- Published As https://doi.org/10.2140/pjm.2023.322.301
초록/요약
Let F be a nonarchimedean local field of odd characteristic p>0. We consider local exterior square L-functions L(s, π,∧2),Bump–Friedberg L-functions L(s, π, BF), and Asai L-functions L(s, π, As) of an irreducible admissible representation π of GLm(F). In particular, we establish that those Lfunctions, via the theory of integral representations, are equal to their corresponding Artin L-functions (Formula Presented) and L(s, As(φ(π))) of the associated Langlands parameter φ(π) under the local Langlands correspondence. These are achieved by proving the identity for irreducible supercuspidal representations, exploiting the local-to-global argument due to Henniart and Lomelí. © 2023 MSP (Mathematical Sciences Publishers).
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