AbstractThe aim of this paper is to extend the considerations of the first and the third authors and others to the setting of Suetuna, i.e. we consider some important sums of multiplicative ideal-functions in relative extensions of number fields. This contains most of the earlier work on those sums related to the divisor and the circle problems
AbstractWe consider a class of arithmetical functions generated by Dirichlet series that satisfy a f...
The sum-product problem of Erdos and Szemeredi asserts that any subset of the integers has many prod...
The work covers the additive properties of multiplicative functions. The aim is to deduce the asympt...
The aim of this paper is to extend the considerations of the first and the third authors and others ...
AbstractThe aim of this paper is to extend the considerations of the first and the third authors and...
AbstractThe author has presented estimates for sums of multiplicative functions, satisfying certain ...
International audienceGiven a multiplicative function~$f$ which is periodic over the primes, we obta...
Let $ K $ be a number field over $ \mathbb{Q} $ and let $ a_K(m) $ denote the number of integral ide...
This thesis gives some order estimates and asymptotic formulae associated with general classes of no...
AbstractIt is shown that certain commonly occurring conditions may be factored out of sums of multip...
AbstractLet a(n) denote the number of nonisomorphic Abelian groups with n elements. Several problems...
AbstractFor a complex number s and an arithmetical function α, we write A(n) = Σdδ = nα(d) δs and A∗...
AbstractFor k a non-negative integer, let Pk(n) denote the kth largest prime factor of n where P0(n)...
summary:We find, via the Selberg-Delange method, an asymptotic formula for the mean of arithmetic fu...
We introduce a simple sieve-theoretic approach to studying partial sums of multiplicative functions ...
AbstractWe consider a class of arithmetical functions generated by Dirichlet series that satisfy a f...
The sum-product problem of Erdos and Szemeredi asserts that any subset of the integers has many prod...
The work covers the additive properties of multiplicative functions. The aim is to deduce the asympt...
The aim of this paper is to extend the considerations of the first and the third authors and others ...
AbstractThe aim of this paper is to extend the considerations of the first and the third authors and...
AbstractThe author has presented estimates for sums of multiplicative functions, satisfying certain ...
International audienceGiven a multiplicative function~$f$ which is periodic over the primes, we obta...
Let $ K $ be a number field over $ \mathbb{Q} $ and let $ a_K(m) $ denote the number of integral ide...
This thesis gives some order estimates and asymptotic formulae associated with general classes of no...
AbstractIt is shown that certain commonly occurring conditions may be factored out of sums of multip...
AbstractLet a(n) denote the number of nonisomorphic Abelian groups with n elements. Several problems...
AbstractFor a complex number s and an arithmetical function α, we write A(n) = Σdδ = nα(d) δs and A∗...
AbstractFor k a non-negative integer, let Pk(n) denote the kth largest prime factor of n where P0(n)...
summary:We find, via the Selberg-Delange method, an asymptotic formula for the mean of arithmetic fu...
We introduce a simple sieve-theoretic approach to studying partial sums of multiplicative functions ...
AbstractWe consider a class of arithmetical functions generated by Dirichlet series that satisfy a f...
The sum-product problem of Erdos and Szemeredi asserts that any subset of the integers has many prod...
The work covers the additive properties of multiplicative functions. The aim is to deduce the asympt...