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Quasilinear Burgers-Hopf equation and Stasheff polytopes |
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| Authors: | V. M. Buchstaber E. V. Koritskaya |
| Affiliation: | (1) Steklov Institute of Mathematics, Russia;(2) Moscow State University, Russia |
| Abstract: | The generating function for the numbers of faces of the nth Stasheff polytope is shown to satisfy the quasilinear Burgers-Hopf equation. Applications of this result are given. |
| Keywords: | Stasheff polytope Catalan number Burgers-Hopf equation generating function series of polytopes modular graph |
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