Note on a generalization of a theorem of Bogolioùboff
ERLING FOLNER (1954)
Mathematica Scandinavica
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ERLING FOLNER (1954)
Mathematica Scandinavica
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Francis Oger (1990)
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Paul Milnes (1981)
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Guy Henrard (1984)
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BJARNI JÓNSSON (1957)
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Joel Anderson (1978)
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Erich Selder (1988)
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Öystein J. Rödseth (1981)
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Klaus Thomsen (1987)
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Ernst S. Selmer, Björg Kristin Selvik (1991)
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Sergey Avgustinovich, Juhani Karhumäki, Svetlana Puzynina (2012)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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In the paper we study abelian versions of the critical factorization theorem. We investigate both similarities and differences between the abelian powers and the usual powers. The results we obtained show that the constraints for abelian powers implying periodicity should be quite strong, but still natural analogies exist.
David B. Penman, Matthew D. Wells (2014)
Acta Arithmetica
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We call a subset A of an abelian group G sum-dominant when |A+A| > |A-A|. If |A⨣A| > |A-A|, where A⨣A comprises the sums of distinct elements of A, we say A is restricted-sum-dominant. In this paper we classify the finite abelian groups according to whether or not they contain sum-dominant sets (respectively restricted-sum-dominant sets). We also consider how much larger the sumset can be than the difference set in this context. Finally, generalising work of Zhao, we provide asymptotic...
MAYNARD G. ARSOVE (1957)
Mathematica Scandinavica
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Patrik Lundström (2001)
Acta Arithmetica
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Öystein J. Rödseth (1982)
Mathematica Scandinavica
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