At this point in time, productive research collaboration can take place amongst collaborators across time zones and national boundaries. The Building Bridges research schools (and subsequent conferences) offer training to graduate students and early career researchers, with the aim of establishing and enhancing new connections between research areas as well as between researchers. Following the highly successful previous two summer schools and conferences (Aachen, 2012 http://www.math.unt.edu/~richter/afbridges/index.html and Bristol, 2014 http://www.maths.bris.ac.uk/~mamjd/bb/index.html), the third in this series will be held in Sarajevo, Bosnia and Herzegovina, organized by Jay Jorgenson (The City College of New York), Lejla Smajlovic (University of Sarajevo) and Lynne Walling (University Bristol), followed by an international conference 18-22 July 2016. The mathematics contained within this summer school's mini-courses is both central and deep within ongoing research in automorphic forms, Dirichlet series and L-functions. Summer school participants will have a unique opportunity to become familiar with ideas from recent celebrated work, and to interact with world-class research leaders: those teaching in the summer school and those attending the conference that follows. In addition, this will bring cutting-edge mathematical research into Sarajevo and the surrounding vicinity.