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On the \(\mathbb Q\)-linear independence of the sums \(\sum^{\infty}_{n=1} \sigma_k (n)/n!\)

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Publication:627633
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DOI10.1016/j.jnt.2010.11.009zbMath1226.11073OpenAlexW2064699601MaRDI QIDQ627633

Abdulaziz Deajim, Samir Siksek

Publication date: 3 March 2011

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2010.11.009


zbMATH Keywords

irrationalitysum of divisorsfactorial seriesrational independence


Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Irrationality; linear independence over a field (11J72)


Related Items

Analytic number theory. Abstracts from the workshop held November 6--12, 2022


Uses Software

  • Magma


Cites Work

  • The Magma algebra system. I: The user language
  • Sur certaines hypothèses concernant les nombres premiers
  • The irrationality of some number theoretical series
  • Unsolved problems in number theory
  • Unnamed Item
  • Unnamed Item
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