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| On Estimate of Complete Trigonometric Suns |
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Citation： |
Qi Minggao,Ding Ping.On Estimate of Complete Trigonometric Suns[J].Chinese Annals of Mathematics B,1985,6(1):109~120 |
| Page view： 856
Net amount： 777 |
Authors： |
Qi Minggao; Ding Ping |
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| Abstract： |
In this paper, the following theorem is proved:
Let f(x)=a_kx^k+\cdots+a_1x+a_0 be a polynomial with integral coefficients such that (\alpha_1,\cdots,\alpha_k,q)=1, where q is a positive integer. Then, for k\geq 3,
$[|\sum\limits_{x = 1}^q {{e^{2\pi if(x)/q}}} | \le {e^{2k}}{q^{1 - 1/k}}\]$ |
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