The local period integrals and essential vectors
- 주제(키워드) local period integrals , local Rankin–Selberg L-functions , newforms , test vector problems
- 등재 SCIE, SCOPUS
- OA유형 Green Submitted
- 발행기관 Wiley-VCH GmbH
- 발행년도 2023
- 원문페이지 29 p.
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000205845
- eISSN 1522-2616
- 본문언어 영어
- Published As https://doi.org/10.1002/mana.202100392
- 저작권 이화여자대학교 논문은 저작권에 의해 보호받습니다.
초록/요약
By applying the formula for essential Whittaker functions established by Matringe and Miyauchi, we study five integral representations for irreducible admissible generic representations of GLn over p-adic fields. In each case, we show that the integrals achieve local formal L-functions defined by Langlands parameters, when the test vector is associated to the new form. We give the relation between local periods involving essential Whittaker functions and special values of formal L-factors at s=1 for certain distinguished or unitary representations. The period integrals are also served as standard nonzero distinguished forms.
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