The 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
This book discusses regular powers and symbolic powers of ideals from three perspectives– algebra, c...
A multiplicative function f is said to be specially multiplicative if there is a completely multipli...
We prove a generalization of Demailly-Ein-Lazarsfeld's subadditivity formula and Mustata's...
AbstractThe aim of this paper is to extend the considerations of the first and the third authors and...
The work covers the additive properties of multiplicative functions. The aim is to deduce the asympt...
International audienceGiven a multiplicative function~$f$ which is periodic over the primes, we obta...
AbstractIt is shown that certain commonly occurring conditions may be factored out of sums of multip...
In this work, we present "infinite" multiplicative formulae for countable collections of sums of squ...
If B is a ring (or module), and K is an ideal (or submodule) of B, let B(K) = {(a,b) є B x B:a-b є K...
In this thesis we present and study the ideal duplication, a new construction within the class of th...
AbstractCanonical number systems are the natural generalization ofq-adic number systems to number fi...
By an ideal matrix is understood a square matrix of rational integers which transforms a basis for t...
Given a local ring R and n ideals whose sum is primary to the maximal ideal of R, one may define a ...
We know various results on arithmetic functions as the Mobius inversion property. And the fact that ...
AbstractAn expression for the number of times a certain trace function associated with a Kloosterman...
This book discusses regular powers and symbolic powers of ideals from three perspectives– algebra, c...
A multiplicative function f is said to be specially multiplicative if there is a completely multipli...
We prove a generalization of Demailly-Ein-Lazarsfeld's subadditivity formula and Mustata's...
AbstractThe aim of this paper is to extend the considerations of the first and the third authors and...
The work covers the additive properties of multiplicative functions. The aim is to deduce the asympt...
International audienceGiven a multiplicative function~$f$ which is periodic over the primes, we obta...
AbstractIt is shown that certain commonly occurring conditions may be factored out of sums of multip...
In this work, we present "infinite" multiplicative formulae for countable collections of sums of squ...
If B is a ring (or module), and K is an ideal (or submodule) of B, let B(K) = {(a,b) є B x B:a-b є K...
In this thesis we present and study the ideal duplication, a new construction within the class of th...
AbstractCanonical number systems are the natural generalization ofq-adic number systems to number fi...
By an ideal matrix is understood a square matrix of rational integers which transforms a basis for t...
Given a local ring R and n ideals whose sum is primary to the maximal ideal of R, one may define a ...
We know various results on arithmetic functions as the Mobius inversion property. And the fact that ...
AbstractAn expression for the number of times a certain trace function associated with a Kloosterman...
This book discusses regular powers and symbolic powers of ideals from three perspectives– algebra, c...
A multiplicative function f is said to be specially multiplicative if there is a completely multipli...
We prove a generalization of Demailly-Ein-Lazarsfeld's subadditivity formula and Mustata's...
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