On sums of Ramanujan sums
On the addition of residue classes mod p
On the Asymptotic Behaviour of Sums ...g (n) ...x/n...
On the Brun-Titchmarsh theorem.
On the cycle structure of linear recurring sequences.
On the degree of the -function associated with an exponential sum
On the determination of Gauss sums
On the diaphony of some finite hybrid point sets
On the distribution modulo 1 of the sequence
On the distribution of Kummer sums.
On the distribution of powers in finite fields.
On the existence of a non-zero lower bound for the number of Goldbach partitions of an even integer.
On the greatest prime factor of a cubic polynomial.
On the norm of exponential sums
The norm of a trigonometric polynomial with non zero coefficients of absolute value not less than 1 exceeds a fixed positive multiple of
On the logarithmic factor in error, term estimates in certain additive congruence problems
On the mean value of the mixed exponential sums with Dirichlet characters and general Gauss sum
The main purpose of the paper is to study, using the analytic method and the property of the Ramanujan’s sum, the computational problem of the mean value of the mixed exponential sums with Dirichlet characters and general Gauss sum. For integers , , , , with and , and Dirichlet characters , modulo we define a mixed exponential sum with Dirichlet character and general Gauss sum as coefficient, where denotes the summation over all such that , and . We mean value of and...
On Transformation of Exceptional sets
On Vinogradov's estimate of trigonometric sums and the Goldbach-Vinogradov theorem
On Waldspurger's theorem