Number Theory by Robin Wilson
Author:Robin Wilson [Wilson, Robin]
Language: eng
Format: epub
ISBN: 9780192519078
Publisher: OUP Oxford
Published: 2020-04-10T00:00:00+00:00
These in turn lead to the simultaneous linear congruences or 1 (mod 8) and or 1 (mod 125), and on examining these in pairs, as above, we find that the only 3-digit self-replicating numbers are and 625, with and .
Squares and non-squares
We conclude this chapter by looking at some more quadratic congruences. Our explorations will lead us to one of the most important results in number theory, the law of quadratic reciprocity.
We’ll start with the congruence
We can solve this by multiplying by 4 and adding 9 to both sides, giving
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| Algebra | Calculus |
| Combinatorics | Discrete Mathematics |
| Finite Mathematics | Fractals |
| Functional Analysis | Group Theory |
| Logic | Number Theory |
| Set Theory |
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