Using the estimation of character sums,the estimation of trigonometric sums and the analytic method,the second power mean of Dirichlet L-functions with the weight of Gauss sums is studied,and a sharp asymptotic formula∑χ≠χ 0|G(m,χ)| 2|L(1,χ)| 2=π 26φ 2(q)∏p|q1-1p 2+Oq 32ln 2qd(q)is given.
The second power mean distribution of Dirichlet L-functions is studied by using some analytic methods such as estimation of trigonometric sum,estimation of character sum ect. . Its asymptotic formula is given as follows: ∑χ≠χ 0|G(m,χ)|2|L(1,χ)|2=π26φ2(q)∏p|q1-1p2+Oq 32ln2qd(q).
To study the spatial distribution of atmospheric PCBs in winter Pearl River Delta, air samples were collected from 24/12/2001 to 16/1/2002 in urban, suburban and background of Guangzhou city.
Comparison of the economic performance between the Pear River Delta and the Yangtze River Delta in 2001——Proposals for Guangdong province economic development
Let ${\mathfrak n}_n({\mathbb C})$ be the algebra of strictly upper-triangular $n\times n$ matrices and let ${\mathcal X}_2=\{u\in {\mathfrak n}_n({\mathbb C})\mid u^{2}=0\}$ be the subset of matrices of nilpotent order 2.
In this paper we compute the Fourier transform of the diagonal distribution for $\phi_{*}\mu,$ relative to a compatible triangular decomposition of G, the complexification of U.
This wavelet basis is obtained from three wavelet generators by scaling, translation and rotation, and the wavelets are supported either by one corner triangle or a pair of adjacent triangles in the triangulation of level k - 1.
But by using the concept of edge cochromatic number it is proved that if G is the line graph of a connected triangle-free graph with ω(G)>amp;lt;5 and G≠K4, then z(G)≥χ(G)-2.
A simple parametrization is given for the set of positive measures with finite support on the circle group T that are solutions of the truncated trigonometric moment problem:
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