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Shin-ichiro Seki, On the extension of the Green-Tao theorem to number fields
Shin-ichiro Seki, On the extension of the Green-Tao theorem to number fields
In 2006, Tao established the Gaussian counterpart of the celebrated Green-Tao theorem on arithmetic progressions of primes. In this talk, I will explain the extension of Tao's theorem and the Green-Tao theorem to the case of general number fields. Our combinatorial tool is the relative hypergraph removal lemma by Conlon-Fox-Zhao. I will discuss the difficulties …