| Publisher DOI: | 10.1016/j.jcta.2021.105513 | Title: | Combinatorial proof of Selberg's integral formula | Language: | English | Authors: | Haupt, Alexander  |
Keywords: | Combinatorial proof; Selberg's integral formula; Sijections | Issue Date: | Jan-2022 | Source: | Journal of Combinatorial Theory. Series A 185: 105513 (2022-01) | Abstract (english): | In this paper we present a combinatorial proof of Selberg's integral formula. We prove a theorem about the number of topological orderings of a certain related directed graph bijectively. Selberg's integral formula then follows by induction. This solves a problem posed by R. Stanley in 2009. Our proof is based on Anderson's analytic proof of the formula. As part of the proof we show a further generalisation of the generalised Vandermonde determinant. |
URI: | http://hdl.handle.net/11420/10264 | ISSN: | 0097-3165 | Journal: | Journal of combinatorial theory - Series A | Institute: | Mathematik E-10 | Document Type: | Article |
| Appears in Collections: | Publications without fulltext |
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