On the equation x(x+1)... (x+k-1) = y(y+d)... (y+(mk-1)d), m=1,2
N. Saradha, T.N. Shorey, R. Tijdeman (1995)
Acta Arithmetica
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N. Saradha, T.N. Shorey, R. Tijdeman (1995)
Acta Arithmetica
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V. Bernik (1996)
Acta Arithmetica
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E. V. Flynn (1994)
Acta Arithmetica
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A. Borisov, M. Filaseta, T. Y. Lam, O. Trifonov (1999)
Acta Arithmetica
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Scott Ahlgren (1999)
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Romuald Dąbrowski, Benji Fisher (1997)
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Sy Friedman (1997)
Fundamenta Mathematicae
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We present a reformulation of the fine structure theory from Jensen [72] based on his Σ* theory for K and introduce the Fine Structure Principle, which captures its essential content. We use this theory to prove the Square and Fine Scale Principles, and to construct Morasses.