The Riemann Zeta-Function and Hecke Congruence Subgroups. II

Details The Riemann Zeta-Function and Hecke Congruence Subgroups. II The Riemann Zeta-Function and Hecke Congruence Subgroups. II

2007-09-17

arxiv.org/abs/0709.2590v2

Mathematics

Number Theory

62 pages

Scientific paper

This is a rework of our old file, which has been left unpublished since September 1994, on an explicit spectral decomposition of the fourth power moment of the Riemann zeta-function against a weight which is the square of a Dirichlet polynomial. At this occasion we add an explicit treatment of generalized Kloosterman sums associated with arbitrary Hecke congruence subgroups (Section 15), which might have an independent interest. At the end (Section 36) of our discussion, we set out a few problems on the distribution of eigenvalues of the hyperbolic Laplacian, which appear to us to be related to the nature of the sixth power moment of the Riemann zeta-function. The contents of this work were presented in a worshop at RIMS Kyoto University on October 18, 2007. In this second version, some corrections are made in the part on generalized Kloosterman sums, and in Addendum a mention is made concerning a recent work by C.P. Hughes and M.P. Young (0709.2345).

Affiliated with

Also associated with

No associations

Rating

The Riemann Zeta-Function and Hecke Congruence Subgroups. II 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 The Riemann Zeta-Function and Hecke Congruence Subgroups. II, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Riemann Zeta-Function and Hecke Congruence Subgroups. II will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-378608