The conjecture suggests irrational outcomes in growth functions, indicating broad implications for number theory.
This conjecture states that for O=(summation infinity n=1 f(n)) where f(n) grows faster than for any value of finite positive integer value of k and n k^n. Almost all possible growth type that O can be will most likely lead to irrational numbers. the first page tells n^k for k=2
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Ramanan SP (2026) studied this question.
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