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- W2968145364 abstract "Four basic problems in Riemann’s original paper are found. The Riemann hypothesis becomes meaningless. 1. It is proved that on the real axis of complex plane, the Riemann Zeta function equation holds only at point Re(s)=1/2 (s = a+ib). However, at this point, the Zeta function is infinite, rather than zero. At other points of real axis, the two sides of Zeta function equation are contradictory. When one side is finite, another side may be infinite. 2. An integral item around the original point of coordinate system was neglected when Riemann deduced the integral form of Zeta function. The item was convergent when Re(s) > 1 but divergent when Re(s) 0. At point x = 0, the formula is meaningless. However, the lower limit of Zeta function integral is x = 0, so the formula can not be used. 4. A formula of Jacobi function was used to prove the symmetry of Zeta function equation. The applicable condition of this formula was also x > 0. However, the lower limit of integral in the deduction was x=0. So this formula can not be used too. The zero calculation of Riemann Zeta function is discussed at last. It is pointed out that because approximate methods are used, they are not the real zeros of strict Riemann Zeta function." @default.
- W2968145364 created "2019-08-22" @default.
- W2968145364 creator A5005140790 @default.
- W2968145364 date "2019-01-01" @default.
- W2968145364 modified "2023-09-25" @default.
- W2968145364 title "The Inconsistency Problem of Riemann Zeta Function Equation" @default.
- W2968145364 doi "https://doi.org/10.11648/j.ml.20190502.11" @default.
- W2968145364 hasPublicationYear "2019" @default.
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