On the Hybrid Mean Value Involving Kloosterman Sums and Sums Analogous to Dedekind Sums

On the Hybrid Mean Value Involving Kloosterman Sums and Sums Analogous to Dedekind Sums

The main purpose of this paper is using the properties of Gauss sums and the mean value theorem of Dirichlet L-functions to study one kind of hybrid mean value problems involving Kloosterman sums and sums analogous to Dedekind sums and give two exact computational formulae for them.

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Veröffentlicht in:Abstract and Applied Analysis 2013-01, Vol.2013 (2013), p.303-308-1029
Hauptverfasser: Han, Di, Zhang, Wenpeng
Format: Artikel
Sprache:eng
Schlagworte:
Boundary value problems
Computation
Existence theorems
Mathematical research
Series, Dirichlet
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Zusammenfassung:The main purpose of this paper is using the properties of Gauss sums and the mean value theorem of Dirichlet L-functions to study one kind of hybrid mean value problems involving Kloosterman sums and sums analogous to Dedekind sums and give two exact computational formulae for them.
ISSN:1085-3375
1687-0409
DOI:10.1155/2013/760505