Shapiro for software specialists

spanferkel · Yang-Mills Theory Offline Joined: 15 Oct 2005 Posts: 664

Hi,

can one of the Chinese computer specialists in this forum calculate an equality case for the $n=14$ case of
$\sum_{i=1}^n \frac{x_i}{x_{i+1}+x_{i+2}} \geq k\frac{n}{2}$
with maximal $k$ ?
I would be interested to know if such an equality case is unique (up to cyclic permutation), if it has a similar structure as the well-known counterexamples for $k=1$ (i.e. all $x_i$ rather 'close' to $0$ or $1$ ), and what the degree(s) of the minimal polynomials involved would be.

Thank you very much.

**Posted:** Thu Nov 05, 2009 4:52 am

_________________
There are three kinds of people:
Those who can count and those who can't.
Very Happy