On a conjecture of Narkiewicz about functions with non-decreasing normal order
P. D. T. A. Elliott (1976)
Colloquium Mathematicae
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P. D. T. A. Elliott (1976)
Colloquium Mathematicae
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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...
Paule, Peter (1996)
Experimental Mathematics
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C. Greither, Radan Kučera (2008)
Acta Arithmetica
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K. Inkeri (1976)
Acta Arithmetica
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Pandey, Ram Krishna (2009)
Journal of Integer Sequences [electronic only]
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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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K. Kubota (1977)
Acta Arithmetica
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W. Narkiewicz (1977)
Colloquium Mathematicae
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Torossian, Charles (2002)
Journal of Lie Theory
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R. Dacić (1971)
Matematički Vesnik
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Abramovich, Dan, Voloch, Jose Felipe (1996)
The New York Journal of Mathematics [electronic only]
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András Biró (2003)
Acta Arithmetica
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P. G. Todorov (1991)
Publications de l'Institut Mathématique
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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.