Journal article
Motivic Poisson Summation
- Abstract:
- We develop a "motivic integration" version of the Poisson summation formula for function fields, with values in the Grothendieck ring of definable exponential sums. We also study division algebras over the function field, and obtain relations among the motivic Fourier transforms of a test function at different completions. We use these to prove, in a special case, a motivic version of a theorem of Deligne-Kazhdan-Vigneras.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Authors
Funding
Bibliographic Details
- Publisher:
- Independent University of Moscow Publisher's website
- Journal:
- Moscow Mathematical Journal Journal website
- Volume:
- 9
- Issue:
- 3
- Pages:
- 569-623
- Publication date:
- 2009-07-01
- Acceptance date:
- 2008-10-01
- EISSN:
-
1601-3321
Item Description
Terms of use
- Copyright holder:
- (c) 2009 Independent University of Moscow
- Copyright date:
- 2009
- Notes:
- (c) 2009 Independent University of Moscow
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