AlphaEvolve problems·alphaevolve:30
The Arithmetic Kakeya Conjecture
No formal proof attached. Any claim here rests on a write-up or a report.
Fidelity F0: None. No formal statement is attached to the result.
For each slope $r \in \\mathbb{R} \\cup \\{\\infty\\}$ define the projection $\\pi_r : \\mathbb{R}^2 \\to \\mathbb{R}$ by $\\pi_r(a,b) = a + rb$ for $r \\neq \\infty$ and $\\pi_\\infty(a,b)=b$. Given a set $r_1,\\dots,r_k, r_\\infty$ of distinct slopes, we let $C(\\{r_1,\\dots,r_k\\}; r_\\infty)$ be the smallest constant for which the following is true: if $X,Y$ are discrete random variables (not
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Does the formal statement say what was claimed?
F0 no formal statement None. No formal statement is attached to the result.
Computed from what the project declares and what the register holds, never from reading the mathematics. How fidelity is graded.
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