The alleged proof of gcd(F_n, (n+1)!)=2 collapses because F_n is simply the Kurepa factorial and the key lemma is the conjecture itself.
Large Deviation Theory for Bose Gas of Photons and Planck's Oscillators
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We utilize large deviation theorems to analyze the distributions of a Bose gas of photons and Planck's identical linear oscillators. By applying the Boltzmann-Sanov and Cram\'er-Chernoff theorems, we calculate the large deviation probabilities, entropies, and rate functions for the spatial and energy distributions of both photons and Planck's oscillators. Our study reproduces the results of Bose and Planck within the framework of large deviation theory.
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Partition Functions and Kurepa Decomposition I: Algebraic computation and some physical Applications
The alleged proof of gcd(F_n, (n+1)!)=2 collapses because F_n is simply the Kurepa factorial and the key lemma is the conjecture itself.