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On the generalized exponential sums and their fourth power mean. (English) Zbl 07903507

MSC:

11L03 Trigonometric and exponential sums (general theory)
11L05 Gauss and Kloosterman sums; generalizations

References:

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[3] Z. Wenpeng, Moments of generalized quadratic Gauss sums weighted by L-functions, J. Number Theory 92 (2002), no. 2, 304-314. · Zbl 0997.11064
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[8] X. Y. Liu and Z. Wenpeng, On the high-power mean of the generalized Gauss sums and Kloosterman sums, Mathematics 7 (2019), no. 10, 907-1006, DOI: https://doi.org/10.3390/math7100907.
[9] J. Zhang and Z. Wenpeng, A certain two-term exponential sum and its fourth power means, AIMS Math. 5 (2020), no. 6, 7500-7509, DOI: https://doi.org/10.3934/math.2020480. · Zbl 1484.11169
[10] T. M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, New York, 1976. · Zbl 0335.10001
[11] Z. Wenpeng and H. L. Li, Elementary Number Theory, Shaanxi Normal University Press, Xiaan, 2013.
[12] J. Greene and D. Stanton, The triplication formula for Gauss sums, Aequationes Math. 30 (1986), 134-141, DOI: https://doi.org/10.1007/BF02189920. · Zbl 0588.10037
[13] Z. Wenpeng and H. Jiayun, The number of solutions of the diagonal cubic congruence equation mod p, Math. Rep. 20 (2018), 73-80. · Zbl 1399.11149
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