Long paper
Summary. The record proves the fixed-base Hankel asymptotic for Zudilin's normalised moments and the rational-base irrationality criterion log b/log a<0.4056830213840605…. The determinant proof separates geometric node configurations from positive weights; the irrationality proof instead specialises Zudilin's 2004 polynomial forms after cancellation. Coefficient moments, evaluated lattices and congruence conditions distinguish integer divisibility from nonzero remainder decay. A broader ratio-limit argument and a rational-value model remain unformalised. None of these arguments settles
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The region 𝑏𝜇 <𝑎bμ<a and the base 31/431/4
Power comparisons and Hankel determinants
Congruences after evaluation at 3/23/2
Failure of the stated clearing conditions at 3/23/2
The height criterion at 7/27/2
A denominator-exponent model for Padé-type forms
Complements and further questions
Related work and comparison of constructions
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