Combinatorics of the heat trace on spheres
Combinatorics
2007-05-23 v2 High Energy Physics - Theory
Spectral Theory
Abstract
We present a concise explicit expression for the heat trace coefficients of spheres. Our formulas yield certain combinatorial identities which are proved following ideas of D. Zeilberger. In particular, these identities allow to recover in a surprising way some known formulas for the heat trace asymptotics. Our approach is based on a method for computation of heat invariants developed in math.DG/9905073.
Cite
@article{arxiv.math/0105072,
title = {Combinatorics of the heat trace on spheres},
author = {Iosif Polterovich},
journal= {arXiv preprint arXiv:math/0105072},
year = {2007}
}
Comments
Revised version