A quantified version of Bourgain's sum-product estimate in for subsets of incomparable sizes.
Garaev, M.Z. (2008)
The Electronic Journal of Combinatorics [electronic only]
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Garaev, M.Z. (2008)
The Electronic Journal of Combinatorics [electronic only]
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Liangpan Li (2011)
Acta Arithmetica
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Ferenc Szász (1972)
Colloquium Mathematicae
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Yann Bugeaud, Florian Luca (2004)
Acta Arithmetica
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Michael Daub, Jaclyn Lang, Mona Merling, Allison M. Pacelli, Natee Pitiwan, Michael Rosen (2011)
Acta Arithmetica
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Gopalakrishna Hejmadi Gadiyar, Ramanathan Padma (2018)
Czechoslovak Mathematical Journal
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We connect the discrete logarithm problem over prime fields in the safe prime case to the logarithmic derivative.
Nathanson, Melvyn B., Orosz, Brooke (2007)
Integers
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Juraj Kostra (1989)
Czechoslovak Mathematical Journal
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Mollin, Richard A. (1990)
International Journal of Mathematics and Mathematical Sciences
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Ayad, Mohamed, Kihel, Omar (2008)
Journal of Integer Sequences [electronic only]
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Alexei Entin (2014)
Acta Arithmetica
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For a function field K and fixed polynomial F ∈ K[x] and varying f ∈ F (under certain restrictions) we give a lower bound for the degree of the greatest prime divisor of F(f) in terms of the height of f, establishing a strong result for the function field analogue of a classical problem in number theory.
R. C. Baker, G. Harman (1995)
Acta Arithmetica
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