| viXra.org > Number Theory > viXra:2402.0081 |
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| viXra.org > Number Theory > viXra:2402.0081 |
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Number Theory |
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Authors: Janko Kokošar
Intuitively, it seems that Ramanujan's formula $pi^4approx 97.5-1/11$ is an approximation for some perfectly accurate formula for $pi$. Here is one attempt to prove this. The principle of proof, however, is based on closeness of the every rest term to the inverse of integers. Although it is indeed somewhat closer to integers than it is on average, this proof is not complete. So we cannot say for sure whether this proves or disproves that this Ramanujan's formula has higher approximations; however, it gives hints and opens up space for further research.Moreover, this attempted proof is quite original. Also, such a method could also help in physics.
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[v1] 2024-02-17 22:17:47
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