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Reassessing Riemann's Paper

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Cover of 'Reassessing Riemann's Paper'

Table of Contents

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    Book Overview
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    Chapter 1 Towards Euler’s Product Formula and Riemann’s Extension of the Zeta Function
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    Chapter 2 Prime Number Counting Function
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    Chapter 3 Riemann as an Expert in Fourier Transforms
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    Chapter 4 On the Way to Riemann’s Entire Function $$\xi (s)$$ ξ ( s )
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    Chapter 5 The Product Representation of $$\xi (s)$$ ξ ( s ) and $$\zeta (s)$$ ζ ( s ) by Riemann (1859) and Hadamard (1893)
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    Chapter 6 Derivation of von Mangoldt’s Formula for $$\Psi (x)$$ Ψ ( x )
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    Chapter 7 The Number of Roots in the Critical Strip
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    Chapter 8 Riemann’s Zeta Function Regularization
Attention for Chapter 5: The Product Representation of $$\xi (s)$$ ξ ( s ) and $$\zeta (s)$$ ζ ( s ) by Riemann (1859) and Hadamard (1893)
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