journal6 ›› 2002, Vol. 23 ›› Issue (2): 52-55.
• Mathematics • Previous Articles Next Articles
Online:
Published:
Abstract: By using estimation of the classical kloostermann sum,estimation of the trigonomitric sum and the analytic method to study the first power mean of Dirichlet L-functions with the weight of general Kloostermann sum,a sharp asymptotic formula is given:∑x≠x0|S(m,n,x,q)|2|L(1,x)|=φ2(q)∑′∞n=1(r2(n))/(n2)+O(q3/2+ε).
Key words: Dirichlet L-functions, distribution of the mean value, general Kloostermann sum, asymptotic formula
GAO Li. On the First Power Mean of Dirichlet L-FunctionsWith the Weight of Kloostermann Sums[J]. journal6, 2002, 23(2): 52-55.
Add to citation manager EndNote|Ris|BibTeX
URL: https://zkxb.jsu.edu.cn/EN/
https://zkxb.jsu.edu.cn/EN/Y2002/V23/I2/52