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... ess is correct, Collatz conjecture is a number theory problem. It's also a complex analysis problem…"

In as early as 1994, L.Berg and G.Meinardus proved that the 3n+1 conjecture was equivalent to the function equation h(z3) = h(z^6)+{h(z2)+λh(λz2)+λ2h(λ2z2)}/3z (where λ=e^(2πi/3)). This could be expressed through the unit disc {z:|z|

In 1998, D.Schliecher used this foundation to prove that any integral function in the form of h(z) results in g(z) = z/2 + (1-cos(πz)(z+1/2)/2+1/π(1/2-c ...

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