“The Lowdown” introduces its scraggly detective Lee Raybon (Ethan Hawke) by way of a visit to a private club where Tulsa, Oklahoma’s rich and powerful plan their conquests. In “Reservation Dogs,” Sterlin Harjo celebrated his boundless adoration of cinema by fusing comedy with iconic tributes to ‘80s coming-of-age movies. Lee, being Lee, believes otherwise, spurred on by his discovery of pages of purple prose that Dale hid inside his Jim Thompson crime pulps. Harjo excels at capturing a place’s feeling and mood, and this version of Tulsa is as inviting as it is dangerous. “The Lowdown” tames Lee’s mania for his cause through the barely obscured current of hangdog defeat weakly powering his personal life.