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Article

Entropy and Its Application to Number Theory

This version is not peer-reviewed.

Submitted:

27 March 2022

Posted:

29 March 2022

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Abstract
In this paper, we propose the expansion of the Planck distribution functions which is derived from the Boltzmann principle. Furthermore, we examine to expand Planck's law using new distribution functions. Moreover, using the ideas applied to the expansion of the Planck distribution function, we show that the derivation of Von Koch's inequality without using the Riemann Hypothesis and the negative of the abc conjecture. Besides, we describe some issues for the future.
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Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.

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