Geometric Aspects of the Trace Formula by Werner Müller & Sug Woo Shin & Nicolas Templier

Author:Werner Müller & Sug Woo Shin & Nicolas Templier
Language: eng
Format: epub
ISBN: 9783319948331
Publisher: Springer International Publishing

2.It equals , where is odd and

3.It equals , where is odd and

Assume that π belongs to . By Theorem 2.2, one may assume that

with n 1 > n 2 > ⋯ > n k ≥ 1 and with the property that 1 ≤ s i ≤ 4 holds for 1 ≤ i ≤ k.

Case 1: By Theorem 2.9, we have . It follows that

Cases 2 and 3: By Theorem 2.9, we have . It follows that

Now it is easy to check that for any r-tuple , if , then the global Arthur packets associated with any global Arthur parameters of the form

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