References
- T. M. Apostol, Introduction to analytic number theory, Undergraduate Texts in Math- ematics. Springer-Verlag, New York-Heidelberg, 1976
- S. Chowla, On Kloosterman's sum, Norske Vid. Selsk. Forh. (Trondheim) 40 (1967), 70-72
- T. Estermann, On Kloosterman's sum, Mathematica 8 (1961), 83-86
- H. W. Leopoldt, Eine Verallgemeinerung der Bernoullischen Zahlen, Abh. Math. Sem. Univ. Hamburg 22 (1958), 131-140 https://doi.org/10.1007/BF02941946
- H. Liu and W. Zhang, On the hybrid mean value of Gauss sums and generalized Bernoulli numbers, Proc. Japan Acad. Ser. A Math. Sci. 80 (2004), no. 6, 113-115 https://doi.org/10.3792/pjaa.80.113
- A. V. Malysev, A generalization of Kloosterman sums and their estimates, Vestnik Leningrad. Univ. 15 (1960), no. 13, 59-75
- C.-D. Pan and C.-B. Pan, Goldbach's Conjecture, Chuncui Shuxue yu Yingyong Shuxue Zhuanzhu [Series of Monographs in Pure and Applied Mathematics], 7. Kexue Chuban- she (Science Press), Beijing, 1981
- Y. Yi and W. Zhang, On the 2k-th power mean of inversion of L-functions with the weight of Gauss sums, Acta Math. Sin. (Engl. Ser.) 20 (2004), no. 1, 175-180 https://doi.org/10.1007/s10114-003-0285-z
- W. Zhang, The first power mean of the inversion of L-functions and general Klooster- man sums, Monatsh. Math. 136 (2002), no. 3, 259-267 https://doi.org/10.1007/s006050200045
- W. Zhang, On a Cochrane sum and its hybrid mean value formula, J. Math. Anal. Appl. 267 (2002), no. 1, 89-96 https://doi.org/10.1006/jmaa.2001.7752
- W. Zhang, On the general Kloosterman sums and its fourth power mean, J. Number Theory 104 (2004), no. 1, 156-161 https://doi.org/10.1016/S0022-314X(03)00154-9
- W. Zhang, On the fourth power mean of the general Kloosterman sums, Indian J. Pure Appl. Math. 35 (2004), no. 2, 237-242
- W. Zhang and H. Liu, A note on the Cochrane sum and its hybrid mean value formula, J. Math. Anal. Appl. 288 (2003), no. 2, 646-659 https://doi.org/10.1016/j.jmaa.2003.09.056
- W. Zhang, Y. Yi, and X. He, On the 2k-th power mean of Dirichlet L-functions with the weight of general Kloosterman sums, J. Number Theory 84 (2000), no. 2, 199-213 https://doi.org/10.1006/jnth.2000.2515
Cited by
- ON MIXED TWO-TERM EXPONENTIAL SUMS vol.47, pp.6, 2010, https://doi.org/10.4134/JKMS.2010.47.6.1107