| Title:
|
A hybrid mean value involving two-term exponential sums and polynomial character sums (English) |
| Author:
|
Di, Han |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
64 |
| Issue:
|
1 |
| Year:
|
2014 |
| Pages:
|
53-62 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $q \ge 3$ be a positive integer. For any integers $m$ and $n$, the two-term exponential sum $C(m,n,k;q)$ is defined by $C(m,n,k;q) = \sum _{a=1}^q e ({(ma^k +na)}/{q})$, where $e(y)={\rm e}^{2\pi {\rm i} y}$. In this paper, we use the properties of Gauss sums and the estimate for Dirichlet character of polynomials to study the mean value problem involving two-term exponential sums and Dirichlet character of polynomials, and give an interesting asymptotic formula for it. (English) |
| Keyword:
|
Dirichlet character of polynomials |
| Keyword:
|
two-term exponential sums |
| Keyword:
|
hybrid mean value |
| Keyword:
|
asymptotic formula |
| MSC:
|
11F20 |
| MSC:
|
11L40 |
| idZBL:
|
Zbl 06391475 |
| idMR:
|
MR3247443 |
| DOI:
|
10.1007/s10587-014-0082-0 |
| . |
| Date available:
|
2014-09-29T09:33:09Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143948 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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| . |
