Searching for large elite primes.
Selberg Formulae for Gaussian integers
Sets of integers composed of few prime numbers
Sharp elementary estimates for the sequence of primes
Simple groups of square order and interesting sequence of primes
Solving an exponential Diophantine equation
Solving some functional and operational equations.
Some applications of linear forms in logarithms
Some applications of linear forms in logarithms
Some divisibility properties of binomial coefficients and the converse of Wolstenholme's theorem.
Some identities for factorials and binomial coefficients
Some Number Theoretical Products.
Some problems in number theory that arise from group theory.
In this expository paper, we present several open problerns in number theory that have arisen while doing research in group theory. These problems are on arithmetical functions or partitions. Solving some of these problems would allow to solve some open problem in group theory.[Proceedings of the Primeras Jornadas de Teoría de Números (Vilanova i la Geltrú (Barcelona), 30 June - 2 July 2005)].
Some problems of combinatorial number theory related to Bertrand's postulate.
Some Recent Developments in three Classical Problems of Number Theory.
Sommes des chiffres et nombres presque premiers.
Sul carattere di una particolare congruenza.
Sum of higher divisor function with prime summands
Let be an integer. Recently, Hu and Lü offered the asymptotic formula for the sum of the higher divisor function where represents the th divisor function. We give the Goldbach-type analogy of their result. That is to say, we investigate the asymptotic behavior of the sum where are prime variables.
Sumsets without powerful numbers
Sur certaines hypothèses concernant les nombres premiers