Dedekind Sums with Arguments Near Euler ’ s Number e
نویسنده
چکیده
We study the asymptotic behaviour of the classical Dedekind sums s(m/n) for convergents m/n of e, e2, and (e+1)/(e−1), where e = 2.71828 . . . is Euler’s number. Our main tool is the Barkan-Hickerson-Knuth formula, which yields a precise description of what happens in all cases.
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