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April 17, 20260 citationsOpen Access

Irrationality conjecture

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RSRamanan SP

Key Points

  • This research aims to explore the relationship between growth functions and irrational numbers.
  • Analyzed the growth of functions f(n) compared to n^k for various k.
  • Examined the behavior of infinite summations involving f(n).
  • Most growth functions O tend toward irrational numbers.
  • Demonstrated that for k=2, n^k illustrates the conjecture's claims.

Abstract

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 kⁿ. Almost all possible growth type that O can be will most likely lead to irrational numbers. the first page tells nᵏ for k=2

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Cite This Study

Ramanan SP (2026) studied this question.

synapsesocial.com/papers/69e1cffa5cdc762e9d859046https://doi.org/10.5281/zenodo.19591052
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