JP Journal of Algebra, Number Theory and Applications
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Abstract: We obtain certain special polynomial congruences modulo
an odd prime related to Mirimanoff polynomials
and apply these congruencesto
extend all results known for the square and cube of the Fermat quotients with
base 2 to a more general situation.
Keywords and phrases: Fermat quotient, Mirimanoff polynomial, Bernoulli number.
