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- W2004768593 abstract "For the general modulo q ⩾ 3 and a general multiplicative character χ modulo q, the upper bound estimate of |S(m, n, 1, χ, q)| is a very complex and difficult problem. In most cases, the Weil type bound for |S(m, n, 1, χ, q)| is valid, but there are some counterexamples. Although the value distribution of |S(m, n, 1, χ, q)| is very complicated, it also exhibits many good distribution properties in some number theory problems. The main purpose of this paper is using the estimate for k-th Kloosterman sums and analytic method to study the asymptotic properties of the mean square value of Dirichlet L-functions weighted by Kloosterman sums, and give an interesting mean value formula for it, which extends the result in reference of W. Zhang, Y.Yi, X.He: On the 2k-th power mean of Dirichlet L-functions with the weight of general Kloosterman sums, Journal of Number Theory, 84 (2000), 199–213." @default.
- W2004768593 created "2016-06-24" @default.
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- W2004768593 date "2012-09-01" @default.
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- W2004768593 title "Second moments of Dirichlet L-functions weighted by Kloosterman sums" @default.
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- W2004768593 doi "https://doi.org/10.1007/s10587-012-0057-y" @default.
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