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Nearest hard-square partition-function zero for the sixteen grid

TheoremDB P2718 · mathematical physics

Source catalogue assessmentAs of 2026-09-08Source & evidence ↓

Problem statement

Let Z16(z)=∑Iz∣I∣Z_{16}(z)=\sum_I z^{|I|}, where II ranges over independent vertex sets of P16□P16P_{16}\square P_{16}. Determine the zero of Z16Z_{16} having least modulus, in a rigorous complex rectangle of diameter at most 10−1210^{-12}.

Lean 4

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Progress & source assessment

Source-reported assessment, retrieved 8 September 2026. Frontier Science has not independently reviewed this status.

Open. Not Lean-verified

References
  1. [1]TheoremDB P2718 link

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