# Lindelöf's hypothesis is true and Riemann's one is not

@article{Azenberg2007LindelfsHI, title={Lindel{\"o}f's hypothesis is true and Riemann's one is not}, author={L. Aĭzenberg}, journal={arXiv: Number Theory}, year={2007} }

We present an elementary, short and simple proof of the validity of the Lindel\"of hypothesis about the Riemann zeta-function. The obtained estimate and classical results by Bohr-Landau and Littlewood disprove Riemann's hypothesis.

#### Paper Mentions

#### 2 Citations

Criteria equivalent to the Riemann Hypothesis

- Mathematics
- 2008

We give a brief overview of a few criteria equivalent to the Riemann Hypothesis. Next we concentrate on the Riesz and Baez‐Duarte criteria. We prove that they are equivalent and we provide some… Expand

Criteria equivalent to the Riemann Hypothesis

- 2008

We give a brief overview of a few criteria equivalent to the Riemann Hypothesis. Next we concentrate on the Riesz and Báez-Duarte criteria. We proof that they are equivalent and we provide some… Expand

#### References

SHOWING 1-10 OF 11 REFERENCES

The Theory of the Riemann Zeta-Function

- Mathematics
- 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… Expand

The distribution of prime numbers

- Mathematics
- 1932

Preface Introduction 1. Elementary theorems 2. The prime number theorem 3. Further theory of ( ). applications 4. Explicit formulae 5. Irregularities of distribution Bibliography.

Table of Integrals, Series, and Products

- Mathematics, Engineering
- 1943

Introduction. Elementary Functions. Indefinite Integrals of Elementary Functions. Definite Integrals of Elementary Functions. Indefinite Integrals of Special Functions. Definite Integrals of Special… Expand

Carleman’s Formulas in Complex Analysis: Theory and Applications

- Mathematics
- 1993

Preface. Foreword to the English Translation. Preliminaries. Part I: Carleman Formulas in the Theory of Functions of One Complex Variable and their Generalization. I. One-Dimensional Carleman… Expand

On the Riemann zata-function

- Proc. London Math. Soc
- 1925