On integer values of Kloosterman sums

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Abstract. In this note we use Carlitz's lifting formula for Kloosterman sums and some results from the theory of cyclotomic fields to show that a Kloosterman sum over a finite field obtains a rational integer value at a fixed point if and only if the same sum lifted to any extension field remains a rational integer.

Keijo Petteri Kononen, Marko Juhani Rinta-Aho, Kei

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Education | Kloosterman Sum | Rational Integer | Rational Integer Value | TIT 2010 |

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Added	22 May 2011
Updated	22 May 2011
Type	Journal
Year	2010
Where	TIT
Authors	Keijo Petteri Kononen, Marko Juhani Rinta-Aho, Keijo O. Väänänen

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On integer values of Kloosterman sums

Education | Kloosterman Sum | Rational Integer | Rational Integer Value | TIT 2010 |

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