What does 2 Samuel 16:3 mean?

The king asked, 'Where’s your master’s son?' Ziba replied, 'He’s staying in Jerusalem. He thinks, "Now the Israelites will give me back my grandfather’s kingdom."' 2 Samuel 16:3 - Modern Text Bible

(David asks about Mephibosheth, Saul's grandson. Ziba claims Mephibosheth stayed behind, hoping to reclaim Saul's throne. (Later, it's clear Ziba is lying to make himself look good.))