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Betz, Volker, Gelfreich, Vassili and Theil, Florian (2011) Oscillatory sums. The Mathematical Intelligencer, Vol.33 (No.3). pp. 110-114. doi:10.1007/s00283-011-9224-5 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, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Series, Oscillations | ||||
Journal or Publication Title: | The Mathematical Intelligencer | ||||
Publisher: | Springer | ||||
ISSN: | 0343-6993 | ||||
Official Date: | 21 June 2011 | ||||
Dates: |
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Volume: | Vol.33 | ||||
Number: | No.3 | ||||
Page Range: | pp. 110-114 | ||||
DOI: | 10.1007/s00283-011-9224-5 | ||||
Status: | Peer Reviewed | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Date of first compliant deposit: | 17 December 2015 | ||||
Date of first compliant Open Access: | 17 December 2015 |
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