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Upper bounds on n-dimensional Kloosterman sums |
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| Authors: | Todd Cochrane Ming-Chit Liu |
| Institution: | a Department of Mathematics, Kansas State University, Manhattan, KS 66506, USA b Department of Mathematics, University of Hong Kong, Pokfulam, Hong Kong, China c Department of Mathematics, Tsinghua University, Beijing 100084, PR China |
| Abstract: | Let pm be any prime power and Kn(a,pm) be the Kloosterman sum  , where the xi are restricted to values not divisible by p. Let m,n be positive integers with m?2 and suppose that pγ||(n+1). We obtain the upper bound  , for odd p. For p=2 we obtain the same bound, with an extra factor of 2 inserted. |
| Keywords: | 11L07 11L03 |
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