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Average reciprocals of the order of \(a\) modulo \(n\)

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Publication:273436
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DOI10.1016/j.jnt.2016.02.009zbMath1414.11120OpenAlexW2316305860MaRDI QIDQ273436

Sungjin Kim

Publication date: 22 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.02.009


zbMATH Keywords

orderaveragegeneral modulusreciprocal


Mathematics Subject Classification ID

Units and factorization (11R27) Asymptotic results on arithmetic functions (11N37)




Cites Work

  • On Artin's conjecture
  • Théorème de Brun-Titchmarsh; application au théorème de Fermat
  • On the number of positive integers \(\leq x\) and free of prime factors \(>y\)
  • Average of the first invariant factor of the reductions of abelian varieties of CM type
  • Upper bounds for the number of primitive ray class characters with conductor below a given bound
  • The Arithmetic of Elliptic Curves
  • Division fields of abelian varieties with complex multiplication
  • On the Distribution of Pseudoprimes
  • On quantum ergodicity for linear maps of the torus.
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