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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On the $p$-divisibility of Fermat quotients
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by R. Ernvall and T. Metsänkylä PDF
Math. Comp. 66 (1997), 1353-1365 Request permission

Abstract:

The authors carried out a numerical search for Fermat quotients $Q_{a} = (a^{p-1}-1)/p$ vanishing mod $p$, for $1 \le a \le p-1$, up to $p < 10^{6}$. This article reports on the results and surveys the associated theoretical properties of $Q_{a}$. The approach of fixing the prime $p$ rather than the base $a$ leads to some aspects of the theory apparently not published before.
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Additional Information
  • R. Ernvall
  • Affiliation: Forssa Institute of Technology, Saksankatu 46, FIN-30100 Forssa, Finland
  • T. Metsänkylä
  • Affiliation: Department of Mathematics, University of Turku, FIN-20014 Turku, Finland
  • Email: taumets@sara.cc.utu.fi
  • Received by editor(s): March 4, 1996
  • Received by editor(s) in revised form: May 22, 1996
  • © Copyright 1997 American Mathematical Society
  • Journal: Math. Comp. 66 (1997), 1353-1365
  • MSC (1991): Primary 11A15, 11Y70; Secondary 11D41, 11R18
  • DOI: https://doi.org/10.1090/S0025-5718-97-00843-0
  • MathSciNet review: 1408373