On a queer binomial sum

Denk, Robert; Warlimont, Richard

doi:10.1007/s000130050230

On a queer binomial sum

Type of Publication:	Journal article
URI (citable link):	http://nbn-resolving.de/urn:nbn:de:bsz:352-opus-50740
Author:	Denk, Robert; Warlimont, Richard
Year of publication:	1998
Published in:	Archiv der Mathematik ; 71 (1998), 1. - pp. 22-30
DOI (citable link):	https://dx.doi.org/10.1007/s000130050230
Summary:	In this paper the binomial sum Sn(r) = ∑m=0n ((n) \|\| (m)) [((-1)m)/(mr+1)] (r > 0, n e N) is investigated. It turns out that the behaviour of this sum if n tends to infinity depends on the parameter r and changes dramatically at the values r=1 and r=2. In particular, for r greater or equal to 2 we obtain an oscillatory behaviour while for r
Subject (DDC):	510 Mathematics
Link to License:	Attribution-NonCommercial-NoDerivs 2.0 Generic

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DENK, Robert, Richard WARLIMONT, 1998. On a queer binomial sum. In: Archiv der Mathematik. 71(1), pp. 22-30. Available under: doi: 10.1007/s000130050230

@article{Denk1998queer-592, title={On a queer binomial sum}, year={1998}, doi={10.1007/s000130050230}, number={1}, volume={71}, journal={Archiv der Mathematik}, pages={22--30}, author={Denk, Robert and Warlimont, Richard} }

On a queer binomial sum application/pdf In this paper the binomial sum Sn(r) = ∑m=0n ((n) || (m)) [((-1)m)/(mr+1)] (r > 0, n e N) is investigated. It turns out that the behaviour of this sum if n tends to infinity depends on the parameter r and changes dramatically at the values r=1 and r=2. In particular, for r greater or equal to 2 we obtain an oscillatory behaviour while for r 2011-03-22T17:45:10Z Warlimont, Richard First publ. in: Archiv der Mathematik 71 (1998), 1, pp. 22-30 Attribution-NonCommercial-NoDerivs 2.0 Generic 1998 eng Denk, Robert Denk, Robert Warlimont, Richard 2011-03-22T17:45:10Z