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All SetsMillennium Prize ProblemsHilbert's 23 ProblemsBen Green's 100 Open ProblemsDARPA's 23 Mathematical ChallengesSmale's ProblemsLandau's ProblemsHardy-Littlewood ConjecturesErdős ProblemsRichard Guy - A: Prime Numbers
HIL-012
Open

Hilbert's 12th Problem: Extension of Kronecker-Weber Theorem

Extend the Kronecker-Weber theorem on abelian extensions of the rationals to any base number field....

L5
Number Theory
345
19
HIL-009
Open

Hilbert's 9th Problem: Reciprocity Laws

Generalize the reciprocity law of number theory to arbitrary number fields....

L5
Number Theory
234
13

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