Baker's explicit abc-conjecture and applications
Shanta Laishram, T. N. Shorey (2012)
Acta Arithmetica
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Shanta Laishram, T. N. Shorey (2012)
Acta Arithmetica
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Paule, Peter (1996)
Experimental Mathematics
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K. Kubota (1977)
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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W. Narkiewicz (1977)
Colloquium Mathematicae
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K. Inkeri (1976)
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...
P. D. T. A. Elliott (1976)
Colloquium Mathematicae
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C. Greither, Radan Kučera (2008)
Acta Arithmetica
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András Biró (2003)
Acta Arithmetica
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G. Grekos, L. Haddad, C. Helou, J. Pihko (2005)
Acta Arithmetica
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R. Dacić (1971)
Matematički Vesnik
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James Currie, Narad Rampersad (2009)
RAIRO - Theoretical Informatics and Applications
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We show that Dejean's conjecture holds for ≥ 27. This brings the final resolution of the conjecture by the approach of Moulin Ollagnier within range of the computationally feasible.