We explain how the method introduced by Guth, Katz and Zahl for the real line \(\mathbb {R}\) can be used to prove a discretized sum-product theorem in any division algebra over a local field of zero characteristic.

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

A Presentation of the Discretized Sum-Product in Division Algebras

  • Nicolas de Saxcé

摘要

We explain how the method introduced by Guth, Katz and Zahl for the real line \(\mathbb {R}\) can be used to prove a discretized sum-product theorem in any division algebra over a local field of zero characteristic.