Abstract:
Using the analytic method and the properties of Dedekind sums, the computational problems of one kind mean square value of Dirichlet L-functions are studied, several exact computational formulas are given for ∑χ(-1)=1|L(1,χλ)|2, where the summation over all even characters χ mod q,λ is a fixed odd character mod r with q,r≥3 and (r,q)=1.