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A simplified proof for a theorem of Dwork and van der Poorten

โœ Scribed by R. Mechik

Book ID
118726401
Publisher
SP MAIK Nauka/Interperiodica
Year
2012
Tongue
English
Weight
543 KB
Volume
4
Category
Article
ISSN
2070-0466

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

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A well-known conjecture of Van der Waerden says that for the permanent Per A of an n x n doubly stochastic matrix A we have (3.0), with equality if and only if all entries of the matrix A equal to n -1. In 1977 [1], the author proved that if A is an n ร— n doubly stochastic matrix, and p > 0, q > 0,

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A particularly well suited induction hypothesis is employed to give a short and relatively direct formulation of van der Waerden's argument which establishes that for any partition of the natural numbers into two classes, one of the classes contains arbitrarily long arithmetic progressions.