Ars amatoria influenced Tristia

Ovid states in Tristia II that he was banished for "carmen et error", a poem and a mistake, and that the poem was the Ars amatoria. The later work is written from exile on the Black Sea and spends much of its length arguing with the earlier one: defending it, disowning it, and asking Augustus to read it differently. So the connection is not a stylistic debt but a causal one that the author sets out himself. Tristia exists because the Ars amatoria was written, and its subject is in large part that fact. The second book of Tristia is a single long verse letter making the case, which is the fullest surviving account by any Roman poet of what a poem could cost him.