Unsolved Problems
Showing 1-4 of 4 problems
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
HIL-007
Open
Hilbert's 7th Problem: Transcendence of Certain Numbers
If $\alpha$ is algebraic and irrational, and $\beta$ is algebraic and irrational, is $\alpha^\beta$ transcendental?...
L4
HIL-009
Open
Hilbert's 9th Problem: Reciprocity Laws
Generalize the reciprocity law of number theory to arbitrary number fields....
L5
HIL-011
Open
Hilbert's 11th Problem: Quadratic Forms over Algebraic Number Fields
Extend the theory of quadratic forms with algebraic numerical coefficients....
L4