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#hilbert's_ninth_problem

Hilbert's ninth problem

On the reciprocity law in algebraic number fields

Hilbert's ninth problem, from the list of 23 Hilbert's problems (1900), asked to find the most general reciprocity law for the norm residues of k-th order in a general algebraic number field, where k is a power of a prime.

Mon 7th

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Hilbert's ninth problem List of unsolved problems in mathematics Hilbert's seventeenth problem Artin reciprocity Reciprocity Smale's problems Hilbert space Reciprocity law Algebraic number theory Low-rank approximation
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