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Spoilers (1)
Stuck in Love was written and directed by Josh Boone. In the movie the character Louis (Logan Lerman) says that The Stand is his favorite (Stephen King) book. After The Fault In Our Stars Josh Boone is working on a screen adaption of Stephen King's The Stand.
Well-known literary writers who are mentioned or whose books characters are shown reading include Flannery O'Connor, Richard Ford, Joan Didion, Stephen King, and Raymond Carver.
The book Sam is reading when she gets the call from Lou is the book her dad says she stole from his library, "The World of Apples".
Rusty's story that Samantha sends to Stephen King is the repeated writings of the lyrics of the Beatles song 'I've just seen a face'. In the movie, Rusty says that this song plays on his head every time he sees Kate. Also the story starts with Rusty's opening lines: 'I remember that it hurt. Looking at her hurt'
When Sam and Bill are sitting down outside, Bill asks, "How's Lou?," and Sam responds, "Who's Lou?," even though she is reading an Ed Brubaker comic book, which Lou says that he loves earlier on.
Spoilers
The book Rusty (Nat Wolff) gives Kate (Liana Liberato) before she gives him her "present" is a 25th anniversary edition of the book "It" by Stephen King, who in the movie Rusty is an avid fan of; there were only 3552 copies of the 25th anniversary edition of "It" ever put in to print. About 2750 unsigned copies, 750 signed copies, and 52 special signed and lettered copies. While it is later mentioned that Bill (Greg Kinnear) could get a signed copy of his ex-wife Erica's, (Jennifer Connelly), favorite book through his writers connections, this probably explains how Rusty would be able to get such a rare book, while at the time of it's release the book would go for it's retail value, it is now valued at at least $350 (2014).