Abstract: There are few comprehensive studies on the relationship between agricultural and rural modernization and common prosperity in the existing literature, and there is even less research from the perspective of digital economy on how agricultural and rural modernization affects common prosperity. Based on the panel data of 31 provincial units in China from 2011 to 2021, this paper constructs an evaluation index system for agricultural and rural modernization and common prosperity level, obtains evaluation results, and empirically tests the spatial spillover effect of agricultural and rural modernization on common prosperity from the perspective of digital economy. The research results indicate that:There is a positive spatial interdependence in the level of agricultural and rural modernization in China's provinces, and the influence strengthens over time; Agricultural and rural modernization can effectively improve the level of common prosperity for all people, and has a significant promotion effect on neighboring provinces, with a time lag effect and a spatial spillover effect; Agricultural and rural modernization can indirectly promote common prosperity through digital economy; The direction of the role of agricultural and rural modernization in promoting common prosperity for different geographic locations, grain-producing areas is consistent, but the intensity of the role and the spatial spillover effect are different, and there is a "suction" effect on non-grain-producing areas.

Key words: agriculture and rural modernization, common prosperity, spatial spillover effect, digital economy