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Oscillatory sums
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Betz, Volker, Gelfreich, Vassili and Theil, Florian. (2011) Oscillatory sums. The Mathematical Intelligencer, Vol.33 (No.3). pp. 110-114. ISSN 0343-6993
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WRAP_Theil_150911-oscillatorysums.pdf - Accepted Version Download (206Kb) |
Official URL: http://dx.doi.org/10.1007/s00283-011-9224-5
Abstract
We explore a strange class of sums with alternating, but huge terms. Like with oscillatory integrals, the final sum is much smaller than the individual terms. Unlike oscillatory integrals, we know of no easy general explanation for this effect. In one particular case however, we are able to give a somewhat surprising explanation for it.
| Item Type: | Journal Article |
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| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Mathematics |
| Library of Congress Subject Headings (LCSH): | Series, Oscillations |
| Journal or Publication Title: | The Mathematical Intelligencer |
| Publisher: | Springer |
| ISSN: | 0343-6993 |
| Date: | 21 June 2011 |
| Volume: | Vol.33 |
| Number: | No.3 |
| Page Range: | pp. 110-114 |
| Identification Number: | 10.1007/s00283-011-9224-5 |
| Status: | Peer Reviewed |
| Access rights to Published version: | Restricted or Subscription Access |
| URI: | http://wrap.warwick.ac.uk/id/eprint/37677 |
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