The prime ideals in every class contain arbitrary large truncated classes

Abstract

We prove that the prime ideals in every class of a number field contain arbitrary large truncated ideal classes.

This is a generalization of Green-Tao's prime arithmetic progression theorem to number fields

References in corpus (3)

• Hypergraph regularity and the multidimensional Szemerédi theorem
• Higher correlations of divisor sums related to primes III: k-correlations
• Small Gaps Between Primes I