| 41. | Thus every trigonometric number is an algebraic number.
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| 42. | In number theory, we can define the ideal class group for a given algebraic number field.
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| 43. | Algebraic number theory studies algebraic number fields.
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| 44. | Algebraic number theory studies algebraic number fields.
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| 45. | A useful property of algebraic numbers is that equality between two algebraic expressions can be determined algorithmically.
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| 46. | The extended Riemann hypothesis extends the Riemann hypothesis to all Dedekind zeta functions of algebraic number fields.
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| 47. | This polynomial transformation is often used to reduce questions on algebraic numbers to questions on algebraic integers.
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| 48. | Let K be an algebraic number field.
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| 49. | It is an irrational algebraic number.
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| 50. | He specialises in algebraic number theory.
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