An Improved Sum-Product Inequality in Fields of Prime Order

作者：Rudnev Misha^*

来源：International Mathematics Research Notices, 2012, (16): 3693-3705.

DOI：10.1093/imrn/rnr158

This note proves the sum-product inequality %26lt;br%26gt;max(|A . A|, |A + |) %26gt;%26gt; |A|1+1/11 1/log(4/11)|A| %26lt;br%26gt;for sets of cardinality 1 %26lt; |A| %26lt; root p in prime fields F-p.

• 出版日期2012