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
Partitions quadratiques et cyclotomie
Period polynomials and Gauss sums for finite fields
Periodic analogues of the Euler-Maclaurin and Poisson summation formulas with applications to number theory
Picturesque exponential sums. II:
Poincaré Series on GL (r) and Kloostermann Sums.
Prime numbers with Beatty sequences
A study of certain Hamiltonian systems has led Y. Long to conjecture the existence of infinitely many primes which are not of the form p = 2⌊αn⌋ + 1, where 1 < α < 2 is a fixed irrational number. An argument of P. Ribenboim coupled with classical results about the distribution of fractional parts of irrational multiples of primes in an arithmetic progression immediately implies that this conjecture holds in a much more precise asymptotic form. Motivated by this observation, we give an asymptotic...
Primzahlen der Gestalt [f (n)].
Produit symmétrique de l'équation de Bessel
Pure and mixed exponential sums
Quelques remarques sur les sommes exponentielles