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An Introduction to the Theory of the Riemann Zeta-Function Book

An Introduction to the Theory of the Riemann Zeta-Function
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An Introduction to the Theory of the Riemann Zeta-Function, This is a modern introduction to the analytic techniques used in the investigation of zeta-function. Riemann introduced this function in connection with his study of prime numbers, and from this has developed the subject of analytic number theory. Since t, An Introduction to the Theory of the Riemann Zeta-Function
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  • An Introduction to the Theory of the Riemann Zeta-Function
  • Written by author Stephen J. Patterson, B. Bollobas, W. Fulton, A. Katok, F. Kirwan
  • Published by Cambridge University Press, 1995/02/02
  • This is a modern introduction to the analytic techniques used in the investigation of zeta-function. Riemann introduced this function in connection with his study of prime numbers, and from this has developed the subject of analytic number theory. Since t
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1. Historical introduction; 2. The Poisson summation formula and the functional equation; 3. The Hadamard product formula and 'explicit formulae' of prime number theory; 4. The zeros of the zeta function and the prime number theorem; 5. The Riemann hypothesis and the Lindelöf hypothesis; 6. The approximate functional equation; Appendix 1. Fourier theory; 2. The Mellin transform; 3. An estimate for certain integrals; 4. The gamma function; 5. Integral functions of finite order; 6. Borel–Caratheodory theorems; 7. Littlewood's theorem.


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An Introduction to the Theory of the Riemann Zeta-Function, This is a modern introduction to the analytic techniques used in the investigation of zeta-function. Riemann introduced this function in connection with his study of prime numbers, and from this has developed the subject of analytic number theory. Since t, An Introduction to the Theory of the Riemann Zeta-Function

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An Introduction to the Theory of the Riemann Zeta-Function, This is a modern introduction to the analytic techniques used in the investigation of zeta-function. Riemann introduced this function in connection with his study of prime numbers, and from this has developed the subject of analytic number theory. Since t, An Introduction to the Theory of the Riemann Zeta-Function

An Introduction to the Theory of the Riemann Zeta-Function

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An Introduction to the Theory of the Riemann Zeta-Function, This is a modern introduction to the analytic techniques used in the investigation of zeta-function. Riemann introduced this function in connection with his study of prime numbers, and from this has developed the subject of analytic number theory. Since t, An Introduction to the Theory of the Riemann Zeta-Function

An Introduction to the Theory of the Riemann Zeta-Function

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