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  On the Siegel-Weil formula over function fields

Wei, F.-T. (2015). On the Siegel-Weil formula over function fields. Asian Journal of Mathematics, 19(3), 487-526. doi:10.4310/AJM.2015.v19.n3.a5.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0004-148C-8 Version Permalink: https://hdl.handle.net/21.11116/0000-0007-9800-D
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Wei_On the Siegel-Weil_2015.pdf (Publisher version), 389KB
 
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 Creators:
Wei, Fu-Tsun1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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 Abstract: The aim of this article is to prove the Siegel-Weil formula over function fields for the dual reductive pair (Spn,O(V)), where Spn is the symplectic group of degree 2n and (V,QV) is an anisotropic quadratic space with even dimension. This is a function field analogue of Kudla and Rallis’ result. By this formula, the theta series is identified with the special value of the Siegel–Eisenstein series on Spn at a critical point.

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Language(s): eng - English
 Dates: 2015
 Publication Status: Issued
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 Rev. Type: Peer
 Identifiers: eDoc: 717771
DOI: 10.4310/AJM.2015.v19.n3.a5
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Title: Asian Journal of Mathematics
  Alternative Title : Asian J. Math.
Source Genre: Journal
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Pages: - Volume / Issue: 19 (3) Sequence Number: - Start / End Page: 487 - 526 Identifier: -