面向恰好公式序列的图灵类型不等式的普遍方法及其在单调序列中的应用
数论
2025-07-17 v2
摘要
我们推导了计数大小为n的单调序列个数u(n)的渐近展开式并给出有效误差界。我们证明当n≥33时，u(n)满足高阶图灵不等式，并证明某些第二j移位差分为正。
引用
@article{arxiv.2505.15236,
title = {A generic approach to proving Tur\'{a}n-type inequalities for sequences that admit exact formulas, with an application to unimodal sequences},
author = {Koustav Banerjee and Kathrin Bringmann and Ben Kane},
journal= {arXiv preprint arXiv:2505.15236},
year = {2025}
}