JOURNAL BROWSE
Search
Advanced SearchSearch Tips
ON THE FOURTH POWER MEAN OF GENERALIZED TWO-TERM EXPONENTIAL SUMS
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
ON THE FOURTH POWER MEAN OF GENERALIZED TWO-TERM EXPONENTIAL SUMS
Wang, Tingting;
  PDF(new window)
 Abstract
In this paper, we use the elementary method and the theory of complex functions to study the computational problem of the fourth power mean of the generalized two-term exponential sums, and give two exact identities for them.
 Keywords
generalized two-term exponential sums;fourth power mean;identity;
 Language
English
 Cited by
1.
On the Fourth Power Mean of the Two-Term Exponential Sums, The Scientific World Journal, 2014, 2014, 1  crossref(new windwow)
2.
The fourth power mean of the generalized two-term exponential sums and its upper and lower bound estimates, Journal of Inequalities and Applications, 2013, 2013, 1, 504  crossref(new windwow)
 References
1.
Tom M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, New York, 1976.

2.
T. Cochrane and C. Pinner, A further refinement of Mordell's bound on exponential sums, Acta Arith. 116 (2005), no. 1, 35-41. crossref(new window)

3.
T. Cochrane and C. Pinner, Using Stepanov's method for exponential sums involving rational functions, J. Number Theory 116 (2006), no. 2, 270-292. crossref(new window)

4.
T. Cochrane and Z. Y. Zheng, Pure and mixed exponential sums, Acta Arith. 91 (1999), no. 3, 249-278.

5.
T. Cochrane and Z. Y. Zheng, Upper bounds on a two-term exponential sums, Sci. China Ser. A 44 (2001), no. 8, 1003-1015. crossref(new window)

6.
L. K. Hua, Introduction to Number Theory, Science Press, Beijing, 1979.

7.
V. Pigno and C. Pinner, Twisted monomial Gauss sums modulo prime powers, http://www.math.ksu.edu/ pinner/Pubs/tgauss4a.pdf.

8.
A. Weil, On some exponential sums, Proc. Nat. Acad. Sci. U.S.A. 34 (1948), 204-207. crossref(new window)

9.
W. Zhang, Moments of generalized quadratic Gauss sums weighted by L-functions, J. Number Theory 92 (2002), no. 2, 304-314. crossref(new window)