• Corpus ID: 119167603

On the holomorphy of exterior-square L-functions

  title={On the holomorphy of exterior-square L-functions},
  author={Dustin David Belt},
  journal={arXiv: Number Theory},
  • D. Belt
  • Published 10 August 2011
  • Mathematics
  • arXiv: Number Theory
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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