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Epsilon factors of symplectic type characters in the wild case

  • Sazzad Ali Biswas EMAIL logo
From the journal Forum Mathematicum

Abstract

By work of John Tate we can associate an epsilon factor with every multiplicative character of a local field. In this paper, we determine the explicit signs of the epsilon factors for symplectic type characters of K×, where K/F is a wildly ramified quadratic extension of a non-Archimedean local field F of characteristic zero.

MSC 2010: 11S37; 22E50

Communicated by Jan Bruinier


Award Identifier / Grant number: 1676/17

Funding statement: This research was supported by the Israel Science Foundation (grant no. 1676/17).

Acknowledgements

I express my sincere gratitude to E.-W. Zink for his valuable comments on the paper. I also extend my gratitude to the referee for his/her comments for the improvement of the paper.

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Received: 2020-10-02
Revised: 2021-01-14
Published Online: 2021-02-20
Published in Print: 2021-03-01

© 2021 Walter de Gruyter GmbH, Berlin/Boston

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