On additive functions with a non-decreasing normal order
W. Narkiewicz (1974)
Colloquium Mathematicae
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Displaying similar documents to “A theorem in additive number theory”
On additive functions with a non-decreasing normal order
On additive functions having a non-decreasing normal order
I. Kátai (1977)
Colloquium Mathematicae
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On the continuity of certain non-additive set functions
L. Drewnowski (1978)
Colloquium Mathematicae
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Approximately additive set functions
Bogdan Pawlik (1987)
Colloquium Mathematicae
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On the determination of an additive arithmetical function by its local behaviour
I. Kátai (1969)
Colloquium Mathematicae
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On some modifications of two theorems of Erdős
Katalin Kovács (1998)
Acta Mathematica et Informatica Universitatis Ostraviensis
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On subaddidive and Ψ-additive mappings
Janusz Matkowski (2004)
Open Mathematics
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On strongly additive set functions
Z. Lipecki (1971)
Colloquium Mathematicae
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Problem 24 of the "Scottish book'' concerning additive functionals
Iwo Labuda, R. Daniel Mauldin (1984)
Colloquium Mathematicae
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Additive f-bimorphisms and Cosine Type Equations
C.-S. Lin, Y.J. Cho (1997)
Publications de l'Institut Mathématique
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A generalization of some results in additive number theory.
W.O.J. Moser (1964)
Mathematische Zeitschrift
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Representations of bimeasures
Kari Ylinen (1993)
Studia Mathematica
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Separately σ-additive and separately finitely additive complex functions on the Cartesian product of two algebras of sets are represented in terms of spectral measures and their finitely additive counterparts. Applications of the techniques include a bounded joint convergence theorem for bimeasure integration, characterizations of positive-definite bimeasures, and a theorem on decomposing a bimeasure into a linear combination of positive-definite ones.
On the dimension of additive sets
P. Candela, H. A. Helfgott (2015)
Acta Arithmetica
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We study the relations between several notions of dimension for an additive set, some of which are well-known and some of which are more recent, appearing for instance in work of Schoen and Shkredov. We obtain bounds for the ratios between these dimensions by improving an inequality of Lev and Yuster, and we show that these bounds are asymptotically sharp, using in particular the existence of large dissociated subsets of {0,1}ⁿ ⊂ ℤⁿ.