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math.NT2024
Modulus representation of the Riemann function and polynomial inequalities equivalent to the Riemann hypothesis
Wei Sun
We use the Jacobi theta function to give a representation of the modulus of the Riemann function. Based on this modulus representation, we show that the Riemann hypothesis is e…
math.NT2023
An equivalent inequality for the Riemann hypothesis
Wei Sun
We present a purely analytical inequality which is equivalent to the Riemann hypothesis (RH). The proof of the equivalence is based on a representation of the modulus of the Rieman…