On the Reduction of Abelian Integrals.
John C. Malet (1873)
Journal für die reine und angewandte Mathematik
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John C. Malet (1873)
Journal für die reine und angewandte Mathematik
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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.
Lee, Min Ho (1993)
International Journal of Mathematics and Mathematical Sciences
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Benedict H. Gross (1978)
Inventiones mathematicae
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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...
C. Becchi, A. Rouet, R. Stora (1975)
Recherche Coopérative sur Programme n°25
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E. Horozov (1990)
Journal für die reine und angewandte Mathematik
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Benjamin Girard (2010)
Colloquium Mathematicae
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We study the minimal number of elements of maximal order occurring in a zero-sumfree sequence over a finite Abelian p-group. For this purpose, and in the general context of finite Abelian groups, we introduce a new number, for which lower and upper bounds are proved in the case of finite Abelian p-groups. Among other consequences, our method implies that, if we denote by exp(G) the exponent of the finite Abelian p-group G considered, every zero-sumfree sequence S with maximal possible...
Carlo Toffalori (2000)
Rendiconti del Seminario Matematico della Università di Padova
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Luise-Charlotte Kappe, M. J. Tomkinson (1998)
Rendiconti del Seminario Matematico della Università di Padova
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K. Orlov, M. Stojanović (1974)
Matematički Vesnik
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Anne C. Morel (1968)
Colloquium Mathematicae
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Stanislav Jakubec (2010)
Acta Arithmetica
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J. Burzyk, C. Kliś, Z. Lipecki (1984)
Colloquium Mathematicae
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