论文标题
与Theta系列相关的一般系数变化结果
General coefficient-vanishing results associated with theta series
论文作者
论文摘要
与theta系列相关的零星系数逐渐变化的结果，这表明某些潜在模式。通过扩大theta功率作为Theta功能产品的线性组合，我们提出了两种策略，这些策略将提供统一的处理。我们的方法依赖于研究两个theta系列产品的行为。为此，给出了一些明确的标准。我们可能会使用呈现的方法不仅验证实验发现的系数变化结果，还可以验证一系列一般现象。
There are a number of sporadic coefficient-vanishing results associated with theta series, which suggest certain underlying patterns. By expanding theta powers as linear combinations of products of theta functions, we present two strategies that will provide a unified treatment. Our approaches rely on studying the behavior of products of two theta series under the action of the huffing operator. For this purpose, some explicit criteria are given. We may use the presented methods to not only verify experimentally discovered coefficient-vanishing results, but also to produce a series of general phenomena.
