Unsolved Problems

Showing 1-3 of 3 problems

Hilbert's 13th Problem: Seventh Degree Equations

Prove that the general equation of the seventh degree cannot be solved using functions of only two variables....

Hilbert's 14th Problem: Finite Generation of Rings

Is the ring of invariants of a linear algebraic group acting on a polynomial ring always finitely generated?...

Hilbert's 17th Problem: Expression of Definite Forms

Can every non-negative rational function be expressed as a sum of squares of rational functions?...