自卷积上确界的改进界
经典分析与常微分方程
2009-09-04 v2 数论
摘要
我们给出了紧支撑区间上非负函数自卷积上确界的最佳已知下界的一个微小改进。此外，通过显式例子，我们否证了 Schinzel 和 Schmidt 关于此类自卷积极值函数的一个长期存在的自然猜想。
引用
@article{arxiv.0907.1379,
title = {Improved bounds on the supremum of autoconvolutions},
author = {Mate Matolcsi and Carlos Vinuesa},
journal= {arXiv preprint arXiv:0907.1379},
year = {2009}
}
备注
15 pages. Some typos have been corrected, the best examples have been slightly improved, two plots of them have been included and some remarks have been added