507 – Problem list (II)

For the beginning of the list, see here.

• Collatz conjecture, or the problem.
• The invariant subspace problem. (The link requires a BSU account to download the paper.)
• The sum-product problem.
• Is there a polynomial such that ?
• The Bombieri-Lang conjecture and the closely related question by Friedman/Ziegler of whether there is a polynomial that maps injectively into .
• The inscribed square problem.
• Are the values of the function at the odd positive integers irrational?
• Schanuel’s conjecture.
• David Gale’s subset take-away problem.
• The Jacobian conjecture.

Part III.

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