# A consequence of the factorisation theorem for polynomial orbits on nilmanifolds

@article{Matthiesen2015ACO, title={A consequence of the factorisation theorem for polynomial orbits on nilmanifolds}, author={Lilian Matthiesen}, journal={arXiv: Number Theory}, year={2015} }

We discuss a consequence of Green and Tao's factorisation theorem for polynomial orbits on nilmanifolds, adjusted to the requirements of certain arithmetic applications. More precisely, we prove a generalisation of Theorem 16.4, Acta Arith. 154 (2012), 235-306, by slightly rearranging its proof. The thus achieved strengthening of the result removes an oversight in the above-cited paper which resulted from the previously too weak conclusion. Since this type of result proved essential for furtherâ€¦Â Expand

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