关于高导数加权版绥塔猜想的评论

IF 1 3区数学 Q1 MATHEMATICS

Mathematische Zeitschrift Pub Date : 2024-04-26 DOI:10.1007/s00209-024-03486-9

Qi’an Guan, Xun Sun, Zheng Yuan

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引用次数: 0

摘要

在这篇文章中，我们考虑了高导数加权版绥塔猜想中保持相等的点集，并给出了该点集与一类谐函数（可能是多值函数）的整数值点之间的关系。对于以有限解析闭合曲线为界的平面域，我们给出了集合与德里赫特问题之间的关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A remark on a weighted version of Suita conjecture for higher derivatives

In this article, we consider the set of points for the holding of the equality in a weighted version of Suita conjecture for higher derivatives, and give relations between the set and the integer valued points of a class of harmonic functions (maybe multi-valued). For planar domains bounded by finite analytic closed curves, we give relations between the set and Dirichlet problem.

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来源期刊

Mathematische Zeitschrift 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

236

审稿时长

3-6 weeks

期刊介绍： "Mathematische Zeitschrift" is devoted to pure and applied mathematics. Reviews, problems etc. will not be published.