- **Linear & Abstract Algebra**
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- - **Distribution of power congruence classes**
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Distribution of power congruence classesHi, I need help to prove this for my professor
this is called "Distribution of power congruence classes" or something like that With all n∈NiS∈N correct 1) n ≡Qs(n)(mod 10s-1) 2) n ≡Qs(n)(mod 10s+1) http://img546.imageshack.us/img546/8341/withall.png |

Re: Distribution of power congruence classesYour question isn't clear.
You must explain your notation. What is [itex] N_i [/itex]? What is [itex] Q_s(n) [/itex]? What is [itex] Q'_s(n) [/itex] ? Instead of "correct", perhaps you mean "it is true that". |

Re: Distribution of power congruence classesYes, I need to proove, that this is correct.
To seperate [itex] Q_s(n) [/itex] and [itex] Q'_s(n) [/itex], I used apostrophe ' I dont know, professor just gave this for us in a middle of Modular arithmetic class |

Re: Distribution of power congruence classesCan we perhaps decipher the question as follows:
Let n and s be positive integers, let Q _{s}(n) be the sum of the numbers formed by the digits of n in groups of s, starting from the right, and let Q_{s}'(n) be the alternating such sum. Show that Q _{s}(n)[itex]\equiv[/itex]n (mod 10^{s}-1) and Q_{s}'(n)[itex]\equiv[/itex]n (mod 10^{s}+1) |

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