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Some Notes On ``When is 0.999... equal to 1?

Authors: Carsten Schneider

Published in: Dagstuhl Seminar Proceedings, Volume 5021, Mathematics, Algorithms, Proofs (2006)

Abstract

In joint work Robin Pemantle and I (2004) consider a doubly infinite sum which is not equal to 1, as first suspected, but evaluates to a sum of products of values of the zeta function. Subsequently, I report on this project.

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Carsten Schneider. Some Notes On ``When is 0.999... equal to 1?. In Mathematics, Algorithms, Proofs. Dagstuhl Seminar Proceedings, Volume 5021, pp. 1-3, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2006)

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@InProceedings{schneider:DagSemProc.05021.19,
  author =	{Schneider, Carsten},
  title =	{{Some Notes On ``When is 0.999... equal to 1?}},
  booktitle =	{Mathematics, Algorithms, Proofs},
  pages =	{1--3},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2006},
  volume =	{5021},
  editor =	{Thierry Coquand and Henri Lombardi and Marie-Fran\c{c}oise Roy},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.05021.19},
  URN =		{urn:nbn:de:0030-drops-2755},
  doi =		{10.4230/DagSemProc.05021.19},
  annote =	{Keywords: Symbolic summation, computer algebra, proofs, harmonic numbers, zeta-relations}
}

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Some Notes On ``When is 0.999... equal to 1?

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