A problem of D. H. Lehmer and its generalization (II)
On a problem of D. H. Lehmer and its generalization
On the mean square value of Dirichlet’s -functions
On the first power mean of -functions with the weight of general Kloosterman sums.
On a sum analogous to Dedekind sum and its mean square value formula.
On the average of inversion of Dirichlet’s -functions
Some symmetric identities involving a sequence of polynomials.
Sum relations for Lucas sequences.
On the special solutions of an equation in a finite field.
On the fourth-order linear recurrence formula related to classical Gauss sums
Let p be an odd prime with p ≡ 1 mod 4, k be any positive integer, ψ be any fourth-order character mod p. In this paper, we use the analytic method and the properties of character sums mod p to study the computational problem of G(k, p) = τk(ψ)+τk(ψ), and give an interesting fourth-order linear recurrence formula for it, where τ(ψ) denotes the classical Gauss sums.
On the mean value of a sum analogous to character sums over short intervals
The main purpose of this paper is to study the mean value properties of a sum analogous to character sums over short intervals by using the mean value theorems for the Dirichlet L-functions, and to give some interesting asymptotic formulae.
On the mean values of Dedekind sums
In this paper we study the asymptotic behavior of the mean value of Dedekind sums, and give a sharper asymptotic formula.
On the difference between a D. H. Lehmer number and its inverse modulo q
On the hybrid mean value of Dedekind sums and Hurwitz zeta-function
On the distribution of inverses modulo p (II)
A sum analogous to Dedekind sums and its hybrid mean value formula
Fourth power mean of character sums
A note on the Dirichlet characters of polynomials
A mean value related to the D. H. Lehmer problem and Kloosterman sums
On the Dirichlet characters of polynomials in several variables
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