Small solutions of cubic equations with prime variables in arithmetic progressions
Some Applications of Sieve Methods in Algebra Number Fields.
Some Number Theoretical Products.
Some remarks on Goldbach's problem
Some solved and unsolved problems in combinatorial number theory, ii
In an earlier paper [9], the authors discussed some solved and unsolved problems in combinatorial number theory. First we will give an update of some of these problems. In the remaining part of this paper we will discuss some further problems of the two authors.
Sommes de diviseurs et structure multiplicative des entiers
Sur la distribution modulo M des suites polynomiales [P(n)].
Sur la répartition modulo m des suites polynômiales [P(n)].
Sur le premier cas du théorème de Fermat.
Sur le théorème de Brun-Titchmarsh
Terme d'erreur dans le théorème de la progression arithmétique.
The cyclic behavior of primes in the arithmetic progressions modulo 11.
The distribution of sequences in arithmetic progressions
The divisor function in arithmetic progressions
The divisor problem for arithmetic progressions
The greatest prime divisor of a product of consecutive integers
The k-functions in multiplicative number theory. V. Changes of sign of some arithmetical error terms
The least prime in an arithmetic progression with prime difference.
The least square-free number in an arithmetic progression.
The localisation of primes in arithmetic progressions of irrational modulus
A new method for counting primes in a Beatty sequence is proposed, and it is shown that an asymptotic formula can be obtained for the number of such primes in a short interval.