Mamet's films are always extremely wordy, but his subject matter here feels like purest Quentin. On comes a slew of double-crosses, an incredibly knotty plot and a glut of black humour.
Unlike, say, any number of classic noirs? I have no doubt it was easier to get crime movies made in the wake of Tarantino's success, but it seems unlikely that they were all directly inspired. And some of these movies have entirely different aesthetics and narrative styles to Tarantino, like The Limey and Haywire.
Also, for Memento:
Christopher Nolan himself said that Quentin Tarantino was an influence on him because he inspired him to read crime novels and stories, which became the basis for his film.