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Identities arising from Gauss sums for finite classical groups
- Authors
- Chae, Hi-joon; Kim, Dae San
- Issue Date
- Jul-2008
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Gauss sums; exponential sums; finite classical groups
- Citation
- JOURNAL OF NUMBER THEORY, v.128, no.7, pp.2010 - 2024
- Journal Title
- JOURNAL OF NUMBER THEORY
- Volume
- 128
- Number
- 7
- Start Page
- 2010
- End Page
- 2024
- ISSN
- 0022-314X
- Abstract
- We consider Gauss sums for various finite classical groups, combine our previous results about explicit expressions for those sums with new ones obtained from our main formula based on Deligne-Lusztig theory and get some interesting identities, which are of combinatorial nature and involve various classical exponential sums. (C) 2008 Elsevier Inc. All rights reserved.
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Related Researcher
- Chae, Hi joon
- Education (Mathematics Education)