Surprising Sinc Sums and Integrals
نویسندگان
چکیده
We show that a variety of trigonometric sums have unexpected closed forms by relating them to cognate integrals. 1 Motivation Recall that sinc(x) := sin(x)/x when x 6= 0 and sinc(0) := 1. In [4] and [8], it was shown that, for N = 0, 1, 2, 3, 4, 5, and 6, ∫ ∞
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ورودعنوان ژورنال:
- The American Mathematical Monthly
دوره 115 شماره
صفحات -
تاریخ انتشار 2008