The paper attempts to prove an equivalence between the error in a smooth weighted prime number theorem and zero-free regions for the Riemann zeta function, but critical proof errors undermine the result.
The av- erage number of Goldbach representations and zero-free region s of the Riemann zeta function
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The Error in a Smooth Weighted Prime Number Formula and Zero-free Regions for the Riemann Zeta Function
The paper attempts to prove an equivalence between the error in a smooth weighted prime number theorem and zero-free regions for the Riemann zeta function, but critical proof errors undermine the result.