On a conjecture on exponential Diophantine equations
Mihai Cipu, Maurice Mignotte (2009)
Acta Arithmetica
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Mihai Cipu, Maurice Mignotte (2009)
Acta Arithmetica
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P. Erdös (1964)
Compositio Mathematica
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Pandey, Ram Krishna (2009)
Journal of Integer Sequences [electronic only]
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Shanta Laishram, T. N. Shorey (2012)
Acta Arithmetica
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Karl Rubin (1996)
Annales de l'institut Fourier
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Suppose is an abelian extension of number fields. Stark’s conjecture predicts, under suitable hypotheses, the existence of a global unit of such that the special values for all characters of can be expressed as simple linear combinations of the logarithms of the different absolute values of . In this paper we formulate an extension of this conjecture, to attempt to understand the values when the order of vanishing may be greater than one. This conjecture...
Maohua Le (2009)
Acta Arithmetica
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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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C. Greither, Radan Kučera (2008)
Acta Arithmetica
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Paule, Peter (1996)
Experimental Mathematics
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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...