shaikidris/prime-star-spectra-formalization
A Lean 4 formalization of the ordered adjacency spectrum of finite prime-cover graphs. Its root-centred specialization proves that the square of the largest ordered eigenvalue equals pi(X) plus four times the finite prime sum of 1/(p-1), up to o(1). More generally, for every fixed finite set S of deleted primes and epsilon > 0, the same law with the explicit centre correction c(a) holds uniformly over allowed centres a <= (log X)^(1/2-epsilon). The same window admits a uniform centre--shell evolution theorem at the explicit first-exit frequency, with a finite localization-plus-phase error…
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