The phrase "same screenwriter" means that the person who wrote the script for one movie or show is also the writer for another movie or show. Full definition
Paper Towns was likely green - lit thanks to the success of 2014's The Fault in Our Stars, the popular adaptation of another young - adult novel by John Green from the very same screenwriters, Scott Neustadter and Michael H. Weber (The Spectacular Now, 500 Days of Summer). (qwipster.net)
The new movie is being written by Victoria Strouse, the same screenwriter working on the upcoming Pixar sequel Finding Dory... (relevantmagazine.com)
Even after you figure in all the differences in locale and economic level and period between GoodFellas and this movie, these two are still doing basically the same shtick, with the same screenwriter (Nicholas Pileggi), to lesser effect. (chicagoreader.com)