# The Theory of the Riemann Zeta-Function

@inproceedings{Titchmarsh1987TheTO, title={The Theory of the Riemann Zeta-Function}, author={Edward Charles Titchmarsh and D. R. Heath-Brown}, year={1987} }

The Riemann zeta-function embodies both additive and multiplicative structures in a single function, making it our most important tool in the study of prime numbers. This volume studies all aspects of the theory, starting from first principles and probing the function's own challenging theory, with the famous and still unsolved "Riemann hypothesis" at its heart. The second edition has been revised to include descriptions of work done in the last forty years and is updated with many additional…

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## 3,266 Citations

### Lectures on mean values of the Riemann zeta function

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- 1991

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. In this article, we establish an asymptotic formula for the eighth moment of the Riemann zeta function, assuming the Riemann hypothesis and a quaternary additive divisor conjecture. This builds on…

### Some identities related to Riemann zeta-function

- Mathematics
- 2016

It is well known that the Riemann zeta-function ζ(s)$\zeta(s)$ plays a very important role in the study of analytic number theory. In this paper, we use the elementary method and some new…