p-adic GSpin4 和 GSpin6 的表示以及 L 函数的邻接表示

Pub Date : 2024-07-17 DOI:10.1016/j.jnt.2024.06.004

Mahdi Asgari , Kwangho Choiy

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引用次数: 0

摘要

我们证明了格罗斯（B. Gross）和普拉萨德（D. Prasad）的一个猜想，即根据半简单阶2和阶3的一般偶数自旋群的邻接函数的解析性质来确定一般-包。我们还明确地用一般线性群的局部朗兰兹函数写出了每个-包的邻接函数。

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Representations of the p-adic GSpin4 and GSpin6 and the adjoint L-function

We prove a conjecture of B. Gross and D. Prasad about determination of generic L-packets in terms of the analytic properties of the adjoint L-function for p-adic general even spin groups of semi-simple ranks 2 and 3. We also explicitly write the adjoint L-function for each L-packet in terms of the local Langlands L-functions for the general linear groups.

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