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Displaying similar documents to “Catalan's equation has no new solution with either exponent less than 10651.”

Extreme binary forms

Andrzej Białynicki-Birula, Andrzej Schinzel (2010)

Acta Arithmetica

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Increasing sequences of sectorial forms

Hendrik Vogt, Jürgen Voigt (2020)

Czechoslovak Mathematical Journal

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We prove convergence results for `increasing' sequences of sectorial forms. We treat both the case of closed forms and the case of non-closable forms.

Linear Dependence Of Powers Of Linear Forms

Andrzej Sładek (2015)

Annales Mathematicae Silesianae

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The main goal of the paper is to examine the dimension of the vector space spanned by powers of linear forms. We also find a lower bound for the number of summands in the presentation of zero form as a sum of d-th powers of linear forms.