“IndexOfAnIntegerWithRespectToAPrimitiveRoot”的概念、定义、习题解题方法及翻译-数学辞典

单词	IndexOfAnIntegerWithRespectToAPrimitiveRoot
释义	index of an integer with respect to a primitive root Definition. Let $m>1$ be an integer such that the integer $g$ is a primitive root for $m$ . Suppose $a$ is another integer relatively prime to $g$ . The index of $a$ (to base $g$ ) is the smallest positive integer $n$ such that $g^{n}\\equiv a\\mod m$ , and it is denoted by $\\operatorname{ind}a$ or $\\operatorname{ind}_{g}a$ . If $m$ has a primitive root the index with respect to a primitive root is a very useful tool to solve polynomial congruences modulo $m$ .
随便看	proof of Dedekind domains with finitely many primes are PIDs ProofOfDedekindMertensLemma proof of Dedekind-Mertens lemma ProofOfDehnsTheorem proof of Dehn’s theorem ProofOfDeLHopitalsRule ProofOfDeltaSystemLemma proof of delta system lemma proof of De l’Hôpital’s rule ProofOfDesarguesTheorem proof of Desargues’ theorem ProofOfDeterminantLowerBoundOfAStrictDiagonallyDominantMatrix proof of determinant lower bound of a strict diagonally dominant matrix ProofOfDeterminantOfTheVandermondeMatrix proof of determinant of the Vandermonde matrix ProofOfDiamondIsEquivalentToclubsuitAndContinuumHypothesis ProofOfDinisTheorem proof of Dini’s theorem ProofOfDivergenceOfHarmonicSeriesbyGroupingTerms proof of divergence of harmonic series (by grouping terms) ProofOfDivergenceOfHarmonicSeriesbySplittingOddAndEvenTerms proof of divergence of harmonic series (by splitting odd and even terms) ProofOfDivisionAlgorithmForIntegers proof of division algorithm for integers ProofOfDominatedConvergenceTheorem

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index of an integer with respect to a primitive root

Definition.