Quantitative bounds in the polynomial Szemerédi theorem: the homogeneous case

Sean Prendiville

doi:10.19086/da.1282

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arXiv · 1409.8234

Quantitative bounds in the polynomial Szemerédi theorem: the homogeneous case

Sean Prendiville

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Abstract

We obtain quantitative bounds in the polynomial Szemerédi theorem of Bergelson and Leibman, provided the polynomials are homogeneous and of the same degree. Such configurations include arithmetic progressions with common difference equal to a perfect kth power.

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Sean Prendiville. 2017-02-19. Quantitative bounds in the polynomial Szemerédi theorem: the homogeneous case. https://doi.org/10.19086/da.1282

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