13 entries matching the current filters. Sorted by recently added.
Rudin problem for polynomials (AlphaEvolve problem 57). Current research status is unassessed; the repository records AlphaEvolve’s result on this question.
de Bruin-Sharma Problem (AlphaEvolve problem 24). Current research status is unassessed; the repository records AlphaEvolve’s result on this question.
Smale's Problem (AlphaEvolve problem 23). Current research status is unassessed; the repository records AlphaEvolve’s result on this question.
Borcea's Conjecture (AlphaEvolve problem 22). Current research status is unassessed; the repository records AlphaEvolve’s result on this question.
Schmeisser's Conjecture (AlphaEvolve problem 21). Current research status is unassessed; the repository records AlphaEvolve’s result on this question.
Sendov's Conjecture (AlphaEvolve problem 20). Current research status is unassessed; the repository records AlphaEvolve’s result on this question.
Sendov radius constant: determine C 69 or improve its bounds; the repository records 1 (lower) and 2 (upper).
Brennan's conjecture exponent: determine C 67 or improve its bounds; the repository records 3.422 (lower) and 4 (upper).
Univalent Bloch constant: determine C 57c or improve its bounds; the repository records 0.5708858 (lower) and 1 (upper).
Landau's constant: determine C 57b or improve its bounds; the repository records frac 1 2 +10^ -335 (lower) and dfrac Gamma(1/3) Gamma(5/6) Gamma(1/6) approx 0.5433 (upper).
Bloch’s constant: determine C 57a or improve its bounds; the repository records frac sqrt 3 4 +2 times 10^ -4 (lower) and dfrac 1 sqrt 1+ sqrt 3 , dfrac Gamma(1/3) Gamma(11/12) Gamma(1/4) approx 0.4719 (upper).
Beurling–Ahlfors transform constant: determine C 54 or improve its bounds; the repository records 1 (lower) and 1.575 (upper).
Littlewood Polynomials with Large Normalized Mahler Measure. Moderately interesting problem from Epoch AI’s FrontierMath: Open Problems; answers are checked by a verifier program.