  In upcoming papers by Conrey, Farmer and Zirnbauer there appear conjectural
formulas for averages, over a family, of ratios of products of shifted
L-functions. In this paper we will present various applications of these ratios
conjectures to a wide variety of problems that are of interest in number
theory, such as lower order terms in the zero statistics of L-functions,
mollified moments of L-functions and discrete averages over zeros of the
Riemann zeta function. In particular, using the ratios conjectures we easily
derive the answers to a number of notoriously difficult computations.
