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• W2913550912 abstract "Lapid and Mao formulated a conjecture on an explicit formula of Whittaker Fourier coefficients of automorphic forms on quasi-split classical groups and metaplectic groups as an analogue of Ichino-Ikeda conjecture. They also showed that this conjecture is reduced to a certain local identity in the case of unitary groups. In this paper, we study even unitary group case. Indeed, we prove this local identity over $p$-adic fields. Further, we prove an equivalence between this local identity and a refined formal degree conjecture over any local field of characteristic zero. As a consequence, we prove a refined formal degree conjecture over $p$-adic fields and we get an explicit formula of Whittaker Fourier coefficients under certain assumptions." @default.
• W2913550912 created "2019-02-21" @default.
• W2913550912 creator A5045794854 @default.
• W2913550912 date "2019-02-13" @default.
• W2913550912 modified "2023-10-18" @default.
• W2913550912 title "On a certain local identity for Lapid-Mao's conjecture and formal degree conjecture : even unitary group case" @default.
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• W2913550912 doi "https://doi.org/10.48550/arxiv.1902.04910" @default.
• W2913550912 hasPublicationYear "2019" @default.
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