Welcome to Journal of University of Chinese Academy of Sciences,Today is

Dirichlet Character Sums of Rational Functions

  • Liu Chunlei ,
  • Xu Lanju
Expand
  • 1. Beijing Normal University, Beijing 100875, China;
    2. Tsinghua University, Beijing 100084, China.

Online published: 2005-01-15

Supported by

supported by NSFC (10371132)

Abstract

Hua's estimate is obtained for some Dirichlet character sums of rational functions.

Cite this article

Liu Chunlei , Xu Lanju . Dirichlet Character Sums of Rational Functions[J]. Journal of University of Chinese Academy of Sciences, 2005 , 22(1) : 1 -10 . DOI: 10.7523/j.issn.2095-6134.2005.1.001

References

[1] Hua LK.On exponential sums .J .Chinese Math .Soc ., 1940 , 2 :301—312

[2] Ismoilov D.Complete charact er sums of polynomials .Trudy Math .Inst Steklov ,1991 , 200 :171—184

[3] Liu CL.Dirichlet character sums .Acta Arith ., LXXXVIII .1999 , 4:299—309

[4] Liu CL.Character sums of rational functions .Science in China , Ser .A ,1995 , 28(6):561—578

[5] Liu CL.Character sums of rational functions over local f ields.Acta Arith ., LXXV .1996 , 3 :195—204

[6] Cochrane T, Liu CL, Zheng ZY .Upper bounds on character sums with rat ional function entries .Acta Math .Sinica(in press)

[7] Weil A .On some exponential sums .Proc .Nat .Acad .Sci .USA , 1948 , 34 :204—207

[8] Ding P , Qi MG.Further estimate of complete trigonometric sums .J .Tsinghua Univ ., 1989 , 29(6):74—85

[9] Chen JR.On professor Hua' s estimate of exponential sums.Sci .S inica , 1977 , 20(6):171—179

[10] Lu MG .Estimate of a complete trigonometric sum .Scientia Sinica , Ser .A ,1985 , 28(6):561—578

Outlines

/