On a queer binomial sum

Denk, Robert and Warlimont, Richard (1998) On a queer binomial sum. ARCHIV DER MATHEMATIK, 71 (1). pp. 22-30. ISSN 0003-889X, 1420-8938

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Abstract

In this paper the binomial sum S-n(r) = (m=0) Sigma (n) ((n)(m)) (-1)(m)/m(r)+1 (r > 0, n epsilon N) is investigated. It turns out that the behaviour of this sum for n --> infinity depends on the parameter r and changes dramatically at the values r = 1 and r = 2. In particular, for r greater than or equal to 2 we obtain an oscillatory behaviour while for r<2 the sequence S-n(r) is monotonous at least for large values of n.

Item Type: Article
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 16 Feb 2023 10:58
Last Modified: 16 Feb 2023 10:58
URI: https://pred.uni-regensburg.de/id/eprint/49679

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