On Siegel Zeros of Hecke-Landau Zeta-Functions.
On sums of seven cubes of almost primes
On the additive complements of the primes and sets of similar growth
On the arithmetic structure of the integers whose sum of digits is fixed
On the Barban-Davenport-Halberstam theorem: XIII
On the Barban-Davenport-Halberstam theorem: XV
On the Bombieri-Korobov estimate for Weyl sums
On the diophantine equations
On the distribution of Hawkins’ random “primes”
Hawkins introduced a probabilistic version of Erathosthenes’ sieve and studied the associated sequence of random “primes” . Using various probabilistic techniques, many authors have obtained sharp results concerning these random “primes”, which are often in agreement with certain classical theorems or conjectures for prime numbers. In this paper, we prove that the number of integers such that is almost surely equivalent to , for a given fixed integer . This is a particular case of a recent...
On the Distribution of M-tuples of B-numbers
On the distribution of modulo one
In this paper, we give a new upper-bound for the discrepancyfor the sequence , when and .
On the distribution of some integers related to perfect and amicable numbers
On the exceptional set of Lagrange’s equation with three prime and one almost–prime variables
We consider an approximation to the popular conjecture about representations of integers as sums of four squares of prime numbers.
On the independence of σ(ϕ(n)) and ϕ(σ(n))
On the Integers Relatively Prime to n and a Number-Theoretic Function Considered by Jacobsthal.
On the intervals between numbers that are sums of two squares: IV.
On the irrationality of a divisor function series.
On the largest prime factor of integers
On the moments of the Carmichael λ function
On the number of prime divisors of the order of elliptic curves modulo p