AbstractComparisons are made between the fundamental metric theorems of additive number theory. Generalizations, which are in a sense widest possible, are obtained for these theorems
Lebesgue\u27s density theorem states that at almost every point of a measurable set S in En, the met...
This thesis is a contribution to some fields of the metrical theory of numbers in non- Archimedean s...
In this paper we introduce the notion of elementary numerosity as a special function defined on all ...
AbstractComparisons are made between the fundamental metric theorems of additive number theory. Gene...
AbstractWe study finitely additive measures on N, in particular how nice such a measure can be. We w...
AbstractWe have obtained a generalization of Rosenthal's lemma about the finitely additive measures ...
AbstractWe prove the following conjecture of Erdös. If f(n) is an additive function and 1xΣn≤x|f(n +...
AbstractThe purpose of this paper is to prove some addition theorems for measurable and lattice subs...
AbstractDenote by k = k(N) the least integer for which there exists integers b1, b2, …, bk satisfyin...
AbstractIt is a well-known conjecture that given m ϵ N, the set of natural numbers, the sequence {mn...
AbstractIt is shown that every minimal valid inequality is generated by a subadditive function which...
AbstractAn elementary proof is provided for a claim of G. A. Freiman that if 2 ≤ λ < 4 then there is...
AbstractThe authors give a survey of their papers on additive properties of general sequences and th...
AbstractUsing the notion of finitely additive measure on Dynkin class (weak) densities (asymptotic a...
If A is a set of positive integers, let R-1(n) be the number of solutions of a + a' = n, a, a' G A, ...
Lebesgue\u27s density theorem states that at almost every point of a measurable set S in En, the met...
This thesis is a contribution to some fields of the metrical theory of numbers in non- Archimedean s...
In this paper we introduce the notion of elementary numerosity as a special function defined on all ...
AbstractComparisons are made between the fundamental metric theorems of additive number theory. Gene...
AbstractWe study finitely additive measures on N, in particular how nice such a measure can be. We w...
AbstractWe have obtained a generalization of Rosenthal's lemma about the finitely additive measures ...
AbstractWe prove the following conjecture of Erdös. If f(n) is an additive function and 1xΣn≤x|f(n +...
AbstractThe purpose of this paper is to prove some addition theorems for measurable and lattice subs...
AbstractDenote by k = k(N) the least integer for which there exists integers b1, b2, …, bk satisfyin...
AbstractIt is a well-known conjecture that given m ϵ N, the set of natural numbers, the sequence {mn...
AbstractIt is shown that every minimal valid inequality is generated by a subadditive function which...
AbstractAn elementary proof is provided for a claim of G. A. Freiman that if 2 ≤ λ < 4 then there is...
AbstractThe authors give a survey of their papers on additive properties of general sequences and th...
AbstractUsing the notion of finitely additive measure on Dynkin class (weak) densities (asymptotic a...
If A is a set of positive integers, let R-1(n) be the number of solutions of a + a' = n, a, a' G A, ...
Lebesgue\u27s density theorem states that at almost every point of a measurable set S in En, the met...
This thesis is a contribution to some fields of the metrical theory of numbers in non- Archimedean s...
In this paper we introduce the notion of elementary numerosity as a special function defined on all ...
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