A hybrid mean value of the inversion of L-functions and general quadratic Gauss sums*

@article{Zhang2002AHM,
  title={A hybrid mean value of the inversion of L-functions and general quadratic Gauss sums*},
  author={W. Zhang and Y. Deng},
  journal={Nagoya Mathematical Journal},
  year={2002},
  volume={167},
  pages={1 - 15}
}
Abstract The main purpose of this paper is, using the estimates for character sums and the analytic method, to study the 2k-th power mean of the inversion of Dirichlet L-functions with the weight of general quadratic Gauss sums, and give two interesting asymptotic formulas. 
8 Citations
Hybrid mean value of 2 kth power inversion of L-functions and general quartic Gauss sums
  • Highly Influenced
  • PDF
On character sums over a short interval
  • 1
On the general Gauss sums and their fourth power mean
  • 25
  • PDF
A Note on the Sixth Power Mean Value of the Generalized Quadratic Gauss Sums
  • Highly Influenced
Quadratic Form Gauss Sums
  • 2
  • PDF
NMJ volume 167 Cover and Front matter
  • PDF

References

SHOWING 1-10 OF 12 REFERENCES
Multiplicative Number Theory
  • 1,935
Introduction to analytic number theory
  • 3,070
An elementary method in prime number theory
  • 98
  • Highly Influential
  • PDF
A generalization of Kloostermann sums and their estimates (in Russian)
  • Vestnik Leningrad Univ., 15
  • 1960
On the 2k-th power mean of inversion of Dirichlet L-function
  • Chinese J. Contemp. Math.,
  • 1993
Introduction to Analytic Number Theory, Springer-Verlag
  • New York,
  • 1976
On Kloostermann ’ s sum , Norkse Vid
  • Selbsk . Fak . Frondheim
  • 1967
On Kloostermann’s sum
  • Norkse Vid. Selbsk. Fak. Frondheim, 40
  • 1967
On Character Sums and L-Series. II
  • 327
...
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