THE LAW OF QUADRATIC RECIPROCITY
The law of quadratic reciprocity is one of the most intriguing and challenging result of elementary number theory. This theorem states the relation of quadratic character (i.e. quadratic residue or nonresidue) between two distinct primes. This final project reviews about two different proofs of...
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| Format: | Theses |
| Language: | Indonesia |
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| Online Access: | https://digilib.itb.ac.id/gdl/view/33561 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | The law of quadratic reciprocity is one of the most intriguing and
challenging result of elementary number theory. This theorem states the relation
of quadratic character (i.e. quadratic residue or nonresidue) between two distinct
primes.
This final project reviews about two different proofs of the law of
quadratic reciprocity in detail. The first proof uses a counting formula called
Gauss Lemma, while the second proof uses Gauss sum in finite fields. |
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