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number > number theory > Büchi's problem
... > mathematical analysis > function > elementary function > polynomial > homogeneous polynomial > quadratic form > Büchi's problem
algebra > polynomial > homogeneous polynomial > quadratic form > Büchi's problem

Terme préférentiel

Büchi's problem  

Définition(s)

  • In number theory, Büchi's problem, also known as the n squares' problem, is an open problem named after the Swiss mathematician Julius Richard Büchi. It asks whether there is a positive integer M such that every sequence of M or more integer squares, whose second difference is constant and equal to 2, is necessarily a sequence of squares of the form (x + i)2, i = 1, 2, ..., M,... for some integer x.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/B%C3%BCchi%27s_problem)

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URI

http://data.loterre.fr/ark:/67375/PSR-XXPJ9J47-J

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RDF/XML TURTLE JSON-LD Date de création 28/08/2023, dernière modif. 28/08/2023