On uniformization of functions (I)
Roman Sikorski, Casimir Zarankiewicz (1955)
Fundamenta Mathematicae
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Roman Sikorski, Casimir Zarankiewicz (1955)
Fundamenta Mathematicae
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Experimental Mathematics
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We study the Ljunggren equation Y² + 1 = 2X⁴ using the "multiplication by 2" method of Chabauty.
Blanchet, Pierre (1990)
International Journal of Mathematics and Mathematical Sciences
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The Yugoslav Journal of Operations Research
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Aleksandar Krapež (1980)
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L Carlitz (1962)
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Ayhan Günaydın, Philipp Hieronymi (2011)
Fundamenta Mathematicae
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We consider the expansion of the real field by the group of rational points of an elliptic curve over the rational numbers. We prove a completeness result, followed by a quantifier elimination result. Moreover we show that open sets definable in that structure are semialgebraic.
Franz Lemmermeyer (2003)
Acta Arithmetica
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Huaning Liu, Tao Zhan, Xiaoyun Wang (2009)
Acta Arithmetica
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Toshiyuki Katsura (1995)
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R. Elman, B. Jacob, J.K. Arason (1996)
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