A Functional Equation for the Spectral Fourth Moment of Modular Hecke L-Functions

Details A Functional Equation for the Spectral Fourth Moment of Modular Hecke L-Functions A Functional Equation for the Spectral Fourth Moment of Modular Hecke L-Functions

2003-10-08

arxiv.org/abs/math/0310105v1

Mathematics

Number Theory

19 Pages

Scientific paper

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of a corrected version of the formula was later supplied by the present author in 1991, which has, however, remained unpublished for more than a decade, except for a limited distribution.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.

Affiliated with

Also associated with

No associations

Rating

A Functional Equation for the Spectral Fourth Moment of Modular Hecke L-Functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Functional Equation for the Spectral Fourth Moment of Modular Hecke L-Functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Functional Equation for the Spectral Fourth Moment of Modular Hecke L-Functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-640922