Nombres 𝓑-libres dans les petits intervalles
Nombres presque-premiers dans de petits intervalles
Numbers with a large prime factor
Numbers with a large prime factor
O číslech spřízněných a dokonalých. [II.]
On 4/n = 1/x + 1/y + 1/z and Rosser's sieve
On a Brun-Titchmarsh inequality for multiplicative functions
On a density problem of Erdös
On a ternary quadratic form over primes
On a theorem of Ramachandra
On a thin set of integers involving the largest prime factor function.
On characters of order p (mod p²)
On consecutive integers divisible by the number of their divisors
We prove that there are no strings of three consecutive integers each divisible by the number of its divisors, and we give an estimate for the number of positive integers n ≤ x such that each of n and n + 1 is a multiple of the number of its divisors.
On Divisor Problems in Connection with Squarefree Numbers.
On divisors whose sum is a square
On extremal sets without coprimes
On generalized square-full numbers in an arithmetic progression
Let and . Denote by the set of all integers whose canonical prime representation has all exponents
On ideals free of large prime factors
In 1989, E. Saias established an asymptotic formula for with a very good error term, valid for , , We extend this result to an algebraic number field by obtaining an asymptotic formula for the analogous function with the same error term and valid in the same region. Our main objective is to compare the formulae for and and in particular to compare the second term in the two expansions.
On positive integers with a certain nondivisibility property.
On prime divisors of Mersenne numbers