Estimates of character sums with exponential function

Hong Bing Yu

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Explicit upper bounds for |L(1,χ)| when χ(3) = 0

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Let χ be a primitive Dirichlet character of conductor q and denote by L(z,χ) the associated L-series. We provide an explicit upper bound for |L(1,χ)| when 3 divides q.

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The hybrid mean value of Dedekind sums and two-term exponential sums

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In this paper, we use the mean value theorem of Dirichlet L-functions, the properties of Gauss sums and Dedekind sums to study the hybrid mean value problem involving Dedekind sums and the two-term exponential sums, and give an interesting identity and asymptotic formula for it.