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Riemann Hypothesis and Value Distribution Theory

JinHua Fei

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Abstract

Riemann Hypothesis was posed by Riemann in early 50’s of the 19 th century in his thesis titled “The Number of Primes less than a Given Number”. It is one of the unsolved “Supper”problems of mathematics. The Riemann Hypothesis is closely related to the well-known Prime Number Theorem. The Riemann Hypothesis states that all the nontrivial zeros of the zeta-function lie on the ‘critical line’. In this paper, we use Nevanlinna's Second Main Theorem in the value distribution theory, refute the Riemann Hypothesis. In reference [7], we have already given a proof of refute the Riemann Hypothesis, in this paper, we are given out the second proof, please reader reference.

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Riemann Hypothesis was posed by Riemann in early 50’s of the 19 th century in his thesis titled “The Number of Primes less than a Given Number”. It is one of the unsolved “Supper”problems of mathematics. The Riemann Hypothesis is closely related to the well-known Prime Number Theorem. The Riemann Hypothesis states that all the nontrivial zeros of the zeta-function lie on the ‘critical line’. In this paper, we use Nevanlinna's Second Main Theorem in the value distribution theory, refute the Riemann Hypothesis. In reference [7], we have already given a proof of refute the Riemann Hypothesis, in this paper, we are given out the second proof, please reader reference.

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Available abstract

Riemann Hypothesis was posed by Riemann in early 50’s of the 19 th century in his thesis titled “The Number of Primes less than a Given Number”. It is one of the unsolved “Supper”problems of mathematics. The Riemann Hypothesis is closely related to the well-known Prime Number Theorem. The Riemann Hypothesis states that all the nontrivial zeros of the zeta-function lie on the ‘critical line’. In this paper, we use Nevanlinna's Second Main Theorem in the value distribution theory, refute the Riemann Hypothesis. In reference [7], we have already given a proof of refute the Riemann Hypothesis, in this paper, we are given out the second proof, please reader reference.

Key concepts: Riemann hypothesis, Mathematics, Z function, Riemann Xi function, Number theory, Riemann zeta function, Geometric function theory, Prime number theorem

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