Additive bases, including sumsets [See also 05B10]
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Sum-difference problem III (AlphaEvolve problem 44). Current research status is unassessed; the repository records AlphaEvolve’s result on this question.
Sum-difference problem II (AlphaEvolve problem 43). Current research status is unassessed; the repository records AlphaEvolve’s result on this question.
Sum-difference problem I (AlphaEvolve problem 42). Current research status is unassessed; the repository records AlphaEvolve’s result on this question.
Difference Bases (AlphaEvolve problem 7). Current research status is unassessed; the repository records AlphaEvolve’s result on this question.
An autocorrelation problem related to difference bases (AlphaEvolve problem 6). Current research status is unassessed; the repository records AlphaEvolve’s result on this question.
Sum-product exponent for the reals: determine C 84b or improve its bounds; the repository records frac 4 3 + frac 10 4407 approx 1.3356 (lower) and <2 (1.999281 ) (upper).
Unnormalized single-set sum-difference exponent: determine C 3e or improve its bounds; the repository records 1.27155 (lower) and 1.33333 (upper).
Single-set sum-difference exponent: determine C 3d or improve its bounds; the repository records 2 (lower) and 2 (upper).
4-slope Kakeya-type sum-difference constant: determine C 3c or improve its bounds; the repository records 1.67473389 (1.6747338950414058 ) (lower) and 1.75 (upper).
Kakeya sums-differences constant: determine C 3b or improve its bounds; the repository records 1.77898 (1.77898884 ) (lower) and 1.83333 (upper).
These are selected sources for the parent class. Article coverage is a first reviewed selection, and may not cover this exact subcategory.
Mathematical Sciences Publishers
Algebra, number theory and their connections
European Mathematical Society / EMS Press
Mathematical surveys
2019 · 3 questions extracted
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