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Special Case of Gagliardo-Nirenberg Inequality (AlphaEvolve problem 16). Current research status is unassessed; the repository records AlphaEvolve’s result on this question.
Gagliardo-Nirenberg Inequality (AlphaEvolve problem 15). Current research status is unassessed; the repository records AlphaEvolve’s result on this question.
Multilinear Bohnenblust--Hille constant (real): determine C 26b or improve its bounds; the repository records 2 (lower) and infty (upper).
Bohnenblust--Hille constant on the Boolean cube: determine C 26a or improve its bounds; the repository records 2 (lower) and infty (upper).
Brezis–Gallouet–Wainger remainder constant on the 2D torus: determine C 16 or improve its bounds; the repository records frac beta + pi pi approx 1.82283 (lower) and approx 2.15627 (upper).
The complex Grothendieck constant: determine C 10b or improve its bounds; the repository records 1.338 (lower) and 1.40491 (upper).
The real Grothendieck constant: determine C 10a or improve its bounds; the repository records frac 6 pi 11 approx 1.71360 (lower) and frac pi 2 log(1+ sqrt 2 ) - 10^ -4 approx 1.78211 (upper).