Ex-Trump campaign manager Paul J. Manafort on Wednesday challenged his indictment by special counsel Robert S. Mueller III in a federal lawsuit, saying the Justice Department’s prosecution of him over his business dealings have nothing to do with Mueller’s investigation on Russian interference in last year’s presidential campaign.

Manafort’s attorneys argue in a 17-page lawsuit filed in federal court in Washington that the department exceeded its legal authority when Acting Attorney General Rod J. Rosenstein in May ordered Mueller to investigate “links and/or coordination” between the Russian government and Trump campaign, as well as “any matters that arose or may arise directly from” that investigation.