A Brun-Titschmarsh theorem for multiplicative functions.
A conjecture of Erdös in number theory
A constructive approach to Kronecker approximations and its application to the Mertens conjecture.
A convolution theorem with applications to some divisor functions.
A corpimality problem for two polynomiallike multiplicative functions.
A generalization of a theorem by Cheo and Yien concerning digital sums.
A generalization of Atkinson's formula to L-functions
A generalization of Pillai's arithmetical function involving regular convolutions
A generalization of the Buchstab equation.
A hybrid mean value of the Dedekind sums
The main purpose of this paper is to use the M. Toyoizumi's important work, the properties of the Dedekind sums and the estimates for character sums to study a hybrid mean value of the Dedekind sums, and give a sharper asymptotic formula for it.
A hybrid mean value related to certain Hardy sums and Kloosterman sums
The main purpose of this paper is using the mean value formula of Dirichlet L-functions and the analytic methods to study a hybrid mean value problem related to certain Hardy sums and Kloosterman sums, and give some interesting mean value formulae and identities for it.
A hybrid mean value related to Dedekind sums
The main purpose of this paper is to study a hybrid mean value problem related to the Dedekind sums by using estimates of character sums and analytic methods.
A local Turán-Kubilius inequality
A lower bound for the error term in Weyl’s law for certain Heisenberg manifolds, II
This article is concerned with estimations from below for the remainder term in Weyl’s law for the spectral counting function of certain rational (2ℓ + 1)-dimensional Heisenberg manifolds. Concentrating on the case of odd ℓ, it continues the work done in part I [21] which dealt with even ℓ.
A mean value related to the D. H. Lehmer problem and Kloosterman sums
A mean value theorem on differences of two k-th powers of numbers in residue classes.
A Mean-Value Theorem for Multiplicative Functions.
A new equidistribution property of norms of ideals in given classes
A note on Farey fractions with denominators in arithmetic progressions
A note on Sándor type functions.