A note on burgess bound
Springer Proceedings in Mathematics and Statistics
Let f be a SL(2, ℤ) Hecke cusp form, and let χ be a primitive Dirichlet character modulo M, which we assume to be prime. We prove the Burgess-type bound for the twisted L-function: (formula presented). The method also yields the original bound of Burgess for Dirichlet L-functions: (formula presented).
Munshi, Ritabrata, "A note on burgess bound" (2018). Book Chapters. 18.