Yokoi's conjecture
András Biró (2003)
Acta Arithmetica
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András Biró (2003)
Acta Arithmetica
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G. Besson (2009)
Bollettino dell'Unione Matematica Italiana
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András Biró (2003)
Acta Arithmetica
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K. Kubota (1977)
Acta Arithmetica
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Paule, Peter (1996)
Experimental Mathematics
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C. Greither, Radan Kučera (2008)
Acta Arithmetica
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Fuzhen Zhang (2016)
Special Matrices
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We review and update on a few conjectures concerning matrix permanent that are easily stated, understood, and accessible to general math audience. They are: Soules permanent-on-top conjecture†, Lieb permanent dominance conjecture, Bapat and Sunder conjecture† on Hadamard product and diagonal entries, Chollet conjecture on Hadamard product, Marcus conjecture on permanent of permanents, and several other conjectures. Some of these conjectures are recently settled; some are still open.We...
W. Narkiewicz (1977)
Colloquium Mathematicae
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K. Inkeri (1976)
Acta Arithmetica
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P. D. T. A. Elliott (1976)
Colloquium Mathematicae
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R. Dacić (1971)
Matematički Vesnik
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G. Grekos, L. Haddad, C. Helou, J. Pihko (2005)
Acta Arithmetica
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Sebastian Hebda (2013)
Colloquium Mathematicae
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We propose two conjectures which imply the Collatz conjecture. We give a numerical evidence for the second conjecture.
Torossian, Charles (2002)
Journal of Lie Theory
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Shanta Laishram, T. N. Shorey (2012)
Acta Arithmetica
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Pandey, Ram Krishna (2009)
Journal of Integer Sequences [electronic only]
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Michael D. Plummer, Michael Stiebitz, Bjarne Toft (2003)
Discussiones Mathematicae Graph Theory
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Hadwiger's Conjecture seems difficult to attack, even in the very special case of graphs G of independence number α(G) = 2. We present some results in this special case.
Guido Kings (2003)
Journal de théorie des nombres de Bordeaux
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This paper contains an overview of the known cases of the Bloch-Kato conjecture. It does not attempt to overview the known cases of the Beilinson conjecture and also excludes the Birch and Swinnerton-Dyer point. The paper starts with a brief review of the formulation of the general conjecture. The final part gives a brief sketch of the proofs in the known cases.