2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/143480We give a new heuristic for all of the main terms in the quotient of products of L-functions averaged over a family. These conjectures generalize the recent conjectures for mean values of L-functions. Comparison is made to the analogous quantities for the characteristic polynomials of matrices averaged over a classical compact group.Minor correctionsNumber TheoryMathematical Physics11M26; 15A52text