JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2026, Vol. 61 ›› Issue (4): 69-77.doi: 10.6040/j.issn.1671-9352.0.2025.333
WANG Xiao
CLC Number:
| [1] APOSTOL T M. Introduction to analytic number theory[M]. New York, Spring, 1976:157-172. [2] WEIL A. On some exponential sums[J]. Proceedings of the National Academy of Sciences of the United States of America, 1948, 34(5):204-207. [3] BERNDT B C, EVANS R J. Sums of Gauss, Jacobi, and Jacobsthal[J]. Journal of Number Theory, 1979, 11(3):349-389. [4] BERNDT B C, EVANS R J. The determination of Gauss sums[J]. Bulletin of the American Mathematical Society, 1981, 5(2):107-128. [5] ZHANG Wenpeng, LIU Huaning. On the general Gauss sums and their fourth power mean[J]. Osaka Journal of Mathematics, 2005, 42(1):189-199. [6] ZHANG Wenpeng, WANG Xiao. On a kind of character sums and their recurrence properties[J]. Acta Arithmetica, 2018, 185(4):347-355. [7] ZHANG Han, ZHANG Wenpeng. The fourth power mean of two-term exponential sums and its application[J]. Mathematical Reports, 2017, 19(69):75-83. [8] SHEN Shimeng, ZHANG Wenpeng. On the quartic Gauss sums and their recurrence property[J]. Advances in Difference Equations, 2017, 2027(43):1-9. [9] WEIL A. Numbers of solutions of equations in finite fields[J]. Bulletin of the American Mathematical Society, 1949, 55(5):497-508. [10] CHOWLA S, COWLES J, COWLES M. On the number of zeros of diagonal cubic forms[J]. Journal of Number Theory, 1977, 9(4):502-506. [11] CHOWLA S, COWLES J, COWLES M. On the number of zeros of x3+y3+cz3 in certain finite fields[J]. Journal für die reine und angewandte Mathematik, 1978, 299(1):406-410. [12] MYERSON G. On the numbers of zeros of diagonal cubic forms[J]. Journal of Number Theory, 1979, 11(1):95-99. [13] MYERSON G. Periods polynomials and Gauss sums for finite fields[J]. Acta Arithmetica, 1981, 39(3):251-264. [14] WOLFMANN J. The number of solutions of certain diagonal equations over finite fields[J]. Journal of Number Theory, 1992, 42(3):247-257. [15] WAN Daqing. Zeros of diagonal equations over finite fields[J]. Proceedings of the American Mathematical Society, 1988, 103(4):1049-1052. [16] HONG Shaofang, ZHU Chaoxi. On the number of zeros of diagonal cubic forms over finite fields[J]. Forum Mathematicum, 2021, 33(3):697-708. |
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