On a Kind of Dirichlet Character Sums
Let p≥3 be a prime and let χ denote the Dirichlet character modulo p. For any prime q with q<p, define the set Eq,p=a∣1≤a,a-≤p,aa-≡1modp and a≡a-modq. In this paper, we study a kind of mean value of Dirichlet character sums ∑a≤p a∈Eq,pχ(a), and use the properties of the Dirichlet L-functions a...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/750964 |
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| Summary: | Let p≥3 be a prime and let χ denote the Dirichlet character modulo p. For any prime q with q<p, define the set Eq,p=a∣1≤a,a-≤p,aa-≡1modp and a≡a-modq. In this paper, we study a kind of mean value of Dirichlet character sums ∑a≤p a∈Eq,pχ(a), and use the properties of the Dirichlet L-functions and generalized Kloosterman sums to obtain an interesting estimate. |
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| ISSN: | 1085-3375 1687-0409 |