algebraic number field

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algebraic number field

[¦al·jə¦brā·ik ′nəm·bər ‚fēld]
(mathematics)
A finite extension field of the field of rational numbers.
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of Tokyo) explore similarities between algebraic number fields and algebraic function fields in one variable over finite fields, explain adele rings and idele groups, derive several prime number theorems, and prove the main theorem of class field theory.

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