Suppose that f = ∑ n≥1 an(f)q n is a cusp form of weight 2k (k ∈ N). We denote by L(f, s) the L-function of f . For Re(s) sufficiently large, the value of L(f, s) is given by L(f, s) = ∑ n≥1 an(f) ns , and one can show that L(f, s) has analytic continuation to the entire complex plane. The value of L(f, s) at s = k will be of particular interest to us, and we will refer to this value as the cen...