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Note on the mean value of higher-Kloosterman sums

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It is difficult to study the mean value properties of the higher-Kloosterman sums S(m, n, q; k) for any positive integer k. In this paper, the fourth power mean of this exponential sums is studied by combining congruence theorey with the analytic method, and an interesting asymptotic formula for it is obtained. The new result is an important generalization and improvement of the previous.

higher-Kloosterman sumstrigonometric identityasmptotic formula

YAO Wei-li、CAO Tie-ming、WANG Qin-qin

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Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China

School of Science, Xi'an Shiyou University, Xi'an 710065, P. R. China

Special Foundation for Excellent Young Teacher to Scientific ResearchInnovation Foundation of Shanghai University

2007GQS0142

2010

上海大学学报(英文版)
上海大学

上海大学学报(英文版)

影响因子:0.196
ISSN:1007-6417
年,卷(期):2010.14(3)
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