论文标题

有限三角总和的确切评估和互惠定理

Exact evaluations and reciprocity theorems for finite trigonometric sums

论文作者

Berndt, Bruce C., Kim, Sun, Zaharescu, Alexandru

论文摘要

我们以封闭形式评估几类有限的三角法。使用两种通用方法。第一个是新的,涉及团结根源。第二种使用轮廓集成并扩展了两个作者使用的先前方法。还建立了某些三角学和的互惠定理。

We evaluate in closed form several classes of finite trigonometric sums. Two general methods are used. The first is new and involves sums of roots of unity. The second uses contour integration and extends a previous method used by two of the authors. Reciprocity theorems for certain trigonometric sums are also established.

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