On higher-power moments of Δ(x) (II)
On higher-power moments of Δ(x) (III)
On homogeneous multiplicative hybrid problems in number theory
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 indefinite quadratic forms in four variables
On integers generated by a finite number of fixed primes
On integers n with for .
On integers with a special divisibility property
In this note, we study those positive integers which are divisible by , where is the Carmichael function.
On integers with many small prime factors
On invariants related to non-unique factorizations in block monoids and rings of algebraic integers
On irregularities in the graph of generalized divisor functions
On isolated, respectively consecutive large values of arithmetic functions
On Jacobsthal's g(n)-Function.
On linear forms in the logarithms of algebraic numbers
On Linnik's constant.
On Linnik's constant
On Mellin-Ramanujan expansions
On Mirsky's generalisation of a problem of Evelyn-Linfoot and Page in additive theory of numbers.
On multiplicative magic squares.
On multiplicatively perfect numbers.