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Remarks on Some Integrals and Series Involving the Stirling Numbers and ζ(n)

✍ Scribed by Li-Chien Shen

Book ID
125700631
Publisher
American Mathematical Society
Year
1995
Tongue
English
Weight
488 KB
Volume
347
Category
Article
ISSN
0002-9947

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✍ Tamás Lengyel 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 491 KB

We partially characterize the rational numbers x and integers n >/0 for which the sum ~--~o k"xk • go n assumes integers. We prove that if ~k=0 k x k is an integer for x = 1 -a/b with a, b > 0 integers and gcd(a,b) = 1, then a = 1 or 2. Partial results and conjectures are given which indicate for wh