On power residue characters of units and the representation of numbers by quadratic forms (Q2717767)
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scientific article; zbMATH DE number 1605355
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On power residue characters of units and the representation of numbers by quadratic forms |
scientific article; zbMATH DE number 1605355 |
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On power residue characters of units and the representation of numbers by quadratic forms (English)
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17 June 2001
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Legendre symbols of fundamental units
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representation of prime powers
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Using the fact that the splitting nature of primes into class fields is related to the representation of their powers by quadratic forms, the author investigates sufficient or necessary conditions relying on the Legendre symbols of fundamental units for the representation of prime powers in certain cases.
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