Eulerian triangle is totally positive of order 3

Jianxi Mao

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arXiv · 2608.29224

Eulerian triangle is totally positive of order 3

Jianxi Mao

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Abstract

Brenti conjectured that the Eulerian triangle is totally positive. In this paper, we prove that the Eulerian triangle is totally positive of order 3, thereby providing a partial affirmative answer to Brenti's conjecture. In addition, we establish total positivity of order 3 for several families of generalized Eulerian triangles.

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Jianxi Mao. 2026-08-29. Eulerian triangle is totally positive of order 3. https://arxiv.org/abs/2608.29224

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