On Mean Values of Character Sums

Zai Zhao Meng
April 2006
Acta Mathematica Sinica;Apr2006, Vol. 22 Issue 2, p561
Academic Journal
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.


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