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Patterns of power residues

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Publication:1055803
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DOI10.1016/0022-314X(83)90004-5zbMath0522.10001MaRDI QIDQ1055803

E. T. Lehmer

Publication date: 1983

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


zbMATH Keywords

estimationsevaluationshigher power residues


Mathematics Subject Classification ID

Power residues, reciprocity (11A15)


Related Items (3)

A theorem on totally multiplicative functions ⋮ On the first occurrence of certain patterns of quadratic residues and non-residues ⋮ On runs of consecutive quadratic residues and quadratic nonresidues



Cites Work

  • Unnamed Item
  • Unnamed Item
  • A recurrent pattern in the list of quadratic residues mod a prime and in the values of the Liouville \(\lambda\) function
  • On a conjecture of Emma Lehmer
  • On Runs of Residues
  • Machine Proof of a Theorem on Cubic Residues
  • Pairs of Consecutive Power Residues
  • Totally multiplicative sequences with values±1 which exclude four consecutive values of 1.
  • Bounds for Pairs of Consecutive Seventh and Higher Power Residues
  • Bounds for Pairs of Cubic Residues
  • On Quadruples of Consecutive kth Power Residues
  • Integer Sequence having Prescribed Quadratic Character
  • On the Bound for a Pair of Consecutive Quartic Residues of a Prime
  • Unsolved problems in number theory


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