On a queer binomial sum

Denk, Robert; Warlimont, Richard

On a queer binomial sum

Files

On_a_queer_binomial_sum.pdf(239.75 KB)

Date

1998

Authors

Denk, Robert

Warlimont, Richard

Publication type

Journal article

Published in

Archiv der Mathematik ; 71 (1998), 1. - pp. 22-30

Abstract

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

Cite This

ISO 690

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

BibTex

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

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