Number Theory

    

Flows of the Riemann Hypothesis

Authors: Tai-Choon Yoon, Yina Yoon

The Riemann hypothesis is a mathematical conjecture that relates to the calculation of prime numbers through the Riemann product formula, which represents the product of Riemann zeta function and factorial. There were flows in deriving ∫x^(s-1)/(e^x-1) dx from Riemann product formula and, in attempting to represent the negative region by substituting x with —x. Furthermore, asserting that the Riemann zeta function, in the absence of a definition for negative factorial, obtains trivial zeros for negative even numbers through the Bernoulli exponential generating formula in the negative domain is also incorrect.

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[v1] 2023-09-28 20:15:53

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