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arXiv · 1108.2200

On the Holomorphy of Exterior-Square L-functions

Dustin Belt
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Abstract

In this paper, we show that the twisted partial exterior-square $L$-function has a meromorphic continuation to the whole complex plane with only two possible simple poles at $s=1$ and $s=0$. We do this by establishing the nonvanishing of the local zeta integrals defined by Jacquet and Shalika for any fixed $s_0$. The even case is treated in detail. The odd case is treated briefly, in which case, the $L$-function is shown to be entire.

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Dustin Belt. 2011-08-10. On the Holomorphy of Exterior-Square L-functions. https://arxiv.org/abs/1108.2200

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