| 1. | His proof was cast in modern form by later algebraic number theorists.
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| 2. | This is one of the main results of classical algebraic number theory.
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| 3. | It is conjectured that every real irrational algebraic number is absolutely disjunctive.
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| 4. | Using tools of algebraic number theory, Andrew Wiles proved Fermat's Last Theorem.
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| 5. | The fundamental problem of algebraic number theory is to describe the Gauss.
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| 6. | In case K is an algebraic number field the extension is separable.
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| 7. | Algebraic number theory studies various number rings that generalize the set of integers.
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| 8. | Express an algebraic number simply by an approximate value and an exact equation.
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| 9. | A separate inspiration for "'F "'1 came from algebraic number theory.
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| 10. | He took up Waring's problem in algebraic number fields and got interesting results.
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