三种经典截断θ数列的统一组合处理方法

Pub Date : 2024-01-23 DOI:10.1007/s00026-023-00684-w

Andrew Y. Z. Wang, Ang Xiao

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引用次数: 0

摘要

在过去的十年中，对截断的 Theta 数列进行了大量的研究。如何从组合的角度理解它们呢？在本文中，我们研究了欧拉和高斯的三个经典θ级数的截断定理，并提供了统一的组合处理方法。同时，我们提出了一种可能的、更直接的方法来处理这些截断定理。

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 Unified Combinatorial Treatment for Three Classical Truncated Theta Series

There has been a tremendous amount of research on the truncated theta series in the past decade. How can we understand them combinatorially? In this paper, we investigate the truncated theorems of three classical theta series of Euler and Gauss, and provide a unified combinatorial treatment. Meanwhile, we propose a possible and more direct approach to deal with these truncated theorems.

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