Polynomial progressions in continuous fields

Abstract: In 1988 Bourgain gave a quantitative count for the number of progressions x, x+t, x+t^2 in dense sets on the real line. Recently this was extended to general 3-term polynomial progressions by X. Chen, J. Guo and X. Li. In this talk we extend these results to arbitrarily long polynomial progressions. Our methods are robust enough to give quantitative counts for long polynomial progressions in any locally compact topological field with nontrivial topology. This is joint work with B. Krause, M. Mirek and S. Peluse.

analysis of PDEsclassical analysis and ODEs

Audience: researchers in the topic

Virtual Maxwell Analysis Seminar

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