Geodesic
Combinatorics of the Heat Trace on Spheres
Canadian journal of mathematics, Tome 54 (2002) no. 5, pp. 1086-1099

Voir la notice de l'article provenant de la source Cambridge University Press

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 $\left[ \text{P} \right]$ .
DOI : 10.4153/CJM-2002-040-4
Mots-clés : 05A19, 58J35 
Polterovich, Iosif. Combinatorics of the Heat Trace on Spheres. Canadian journal of mathematics, Tome 54 (2002) no. 5, pp. 1086-1099. doi: 10.4153/CJM-2002-040-4
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2002-040-4/}
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