Explicit Formulas for the Fourth Moment of Three-term Exponential Sums

被引：0

作者：

Ai, Xiaochuan ^{[1
,2
]}

Chen, Jianhua ^{[1
]}

Chen, Hua ^{[3
]}

Zhang, Silan ^{[4
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China

[2] Navy Univ Engn, Sch Sci, Wuhan, Hubei, Peoples R China

[3] Hubei Univ Technol, Sch Sci, Wuhan, Hubei, Peoples R China

[4] Huazhong Agr Univ, Coll Sci, Wuhan, Hubei, Peoples R China

来源：

INTERNATIONAL JOINT CONFERENCE ON APPLIED MATHEMATICS, STATISTICS AND PUBLIC ADMINISTRATION (AMSPA 2014) | 2014年

关键词：

MEAN-VALUE;

D O I：

暂无

中图分类号：

F8 [财政、金融];

学科分类号：

0202 ;

摘要：

In this paper, using the properties of exponential sums and various techniques, the computation problem of the fourth power mean of three-term exponential sums is studied. Explicit formulas for the fourth power mean of three-term exponential sums are obtained under certain conditions.

引用

页码：254 / 260

页数：7

共 11 条

[1] AN EXPLICIT FORMULA FOR THE FOURTH MOMENT OF CERTAIN EXPONENTIAL SUMS
Calderon, C.
de Velasco, M. J.
Zarate, M. J.
[J]. ACTA MATHEMATICA HUNGARICA, 2011, 130 (03) : 203 - 222
[2] EXPLICIT EVALUATION OF CERTAIN EXPONENTIAL SUMS
CARLITZ, L
[J]. MATHEMATICA SCANDINAVICA, 1979, 44 (01) : 5 - 16
[3] Darvenport H, 1936, P LOND MATH SOC, V41, P449
[4] ON THE 2k-TH POWER MEAN VALUE OF THE GENERALIZED QUADRATIC GAUSS SUMS
He, Yanfeng
Zhang, Wenpeng
[J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2011, 48 (01) : 9 - 15
[5] Liu HN, 2008, P AM MATH SOC, V136, P1193
[6] Mean value of some exponential sums and applications to Kloosterman sums
Liu, Huaning
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 361 (01) : 205 - 223
[7] LOXTON JH, 1982, J LOND MATH SOC, V26, P15
[8] LOXTON JH, 1995, CANADA MATH B, V26, P442
[9] N-DIMENSIONAL KLOOSTERMAN SUMS
SMITH, RA
[J]. JOURNAL OF NUMBER THEORY, 1979, 11 (03) : 324 - 343
[10] Wang T. T., 2011, CHINA SCI, V41, P265

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