On 4/n = 1/x + 1/y + 1/z and Rosser's sieve
On a problem of Diophantus
On another sieve method and the numbers that are a sum of two hth powers: II.
On Binary Equations.
On cluster primes
On Divisor Problems in Connection with Squarefree Numbers.
On irregularities in the graph of generalized divisor functions
On positive integers with a certain nondivisibility property.
On prime primitive roots
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 .