2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68775Albeit essential corrections are required both in his claim and in his argument, N.V. Kuznetsov observed in his Bombay article (*) of 1989 a highly interesting transformation formula for spectral sums of products of four values of modular Hecke L-functions. A complete proof of a corrected version of the formula was later supplied by the present author in 1991, which has, however, remained unpublished for more than a decade, except for a limited distribution. The aim of the present paper is to reproduce this proof of the author with some sophistications, retaining the original style as much as possible. (*) He claimed a resolution of the eighth moment problem of the Riemann zeta-function. But his argument is fatally incorrect. Our paper here concerns an essential ingredient in his argument, but we claim nothing about the eighth moment itself.19 PagesNumber Theory11M99; 11F66text