I will derive exact analytical expressions for the one-loop partition functions of two nontrivial string configurations in AdS5xS5: a folded, spinning string and a string with world-surface ending on two anti-parallel lines. This way, and via AdS/CFT, one can obtain interesting information on the strong coupling structure of anomalous dimensions for the gauge operators dual to the spinning string, as well as compute the first strong coupling correction to the quark-antiquark potential as defined in N =4 SYM.