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math.CO2010
Transfinite Approximation of Hindman's Theorem
Mathias Beiglböck, Henry Towsner
Hindman's Theorem states that in any finite coloring of the integers, there is an infinite set all of whose finite sums belong to the same color. This is much stronger than the cor…
math.CO2008★ 9 cited
A variant of the Hales-Jewett Theorem
Mathias Beiglböck
It was shown by V. Bergelson that any set B with positive upper multiplicative density contains nicely intertwined arithmetic and geometric progressions: For each positive integer…