Abstract
We are interested in conjecturing the sign of the pizza quantity (Formula presented.) for the irreducible Coxeter arrangements (Formula presented.) of type An, where (Formula presented.) or (Formula presented.), and type Dn, where n is odd. Our approach is to express the pizza quantity in terms of the pizza quantity of subarrangements known as 2-structures, and we obtain the first non-zero term in the multivariate Taylor expansion.
| Original language | English |
|---|---|
| Pages (from-to) | 422-431 |
| Number of pages | 10 |
| Journal | Experimental Mathematics |
| Volume | 34 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2025 |
Bibliographical note
Publisher Copyright:© 2024 Taylor & Francis Group, LLC.
Funding
This work was partially supported by a grant from the Simons Foundation (#854548 to Richard Ehrenborg). The author thanks Theodore Ehrenborg and the referees for their comments on an earlier version of this paper.
| Funders | Funder number |
|---|---|
| Theodore Ehrenborg | |
| Simons Foundation | 854548 |
Keywords
- 2-structures
- Pizza theorem
- coxeter arrangements
- reflection groups
ASJC Scopus subject areas
- General Mathematics
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