A Functional Equation for the Spectral Fourth Moment of Modular Hecke L-Functions
| dc.creator | Motohashi, Yoichi | |
| dc.date | 2003-10-08 | |
| dc.date.accessioned | 2026-07-07T05:01:42Z | |
| dc.date.available | 2026-07-07T05:01:42Z | |
| dc.description | Albeit 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of a corrected version of the formula was later supplied by the present author in 1991, which has, however, remained unpublished for more than a decade, except for a limited distribution.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. | |
| dc.description | 19 Pages | |
| dc.identifier | https://arxiv.org/abs/math/0310105 | |
| dc.identifier | http://arxiv.org/abs/math/0310105 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68775 | |
| dc.subject | Number Theory | |
| dc.subject | 11M99; 11F66 | |
| dc.title | A Functional Equation for the Spectral Fourth Moment of Modular Hecke L-Functions | |
| dc.type | text |