On Mean Values of Character Sums

Authors
Meng, Zai Zhao
Citation
Meng, Zai Zhao, On Mean Values of Character Sums, Acta mathematica Sinica. English series (Print) , 22(2), 2006, pp. 561-570
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
22
Issue
2
Year of publication
2006
Pages
561 - 570
Database
ACNP
SICI code
Abstract
We use the resultant of two polynomials to discuss the roots of congruences, and then we improve the result of Burgess on the mean values of character sums in the case r = 3. Finally, we give a new estimate for the mean values of character sums in the case r = 4.