On certain sums over the nontrivial zeta zeros

Details On certain sums over the nontrivial zeta zeros On certain sums over the nontrivial zeta zeros

2009-12-12

arxiv.org/abs/0912.2390v1

Physics

Mathematical Physics

20 pages, 1 figure

Scientific paper

We study coefficients $b_n$ that are expressible as sums over the Li/Keiper constants $\lambda_j$. We present a number of relations for and representations of $b_n$. These include the expression of $b_n$ as a sum over nontrivial zeros of the Riemann zeta function, as well as integral representations. Conditional on the Riemann hypothesis, we provide the asymptotic form of $b_n \sim 2^{-n-2}\ln n$.

Affiliated with

Also associated with

No associations

Rating

On certain sums over the nontrivial zeta zeros 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 On certain sums over the nontrivial zeta zeros, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On certain sums over the nontrivial zeta zeros will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-532921