Version 1
: Received: 26 April 2021 / Approved: 27 April 2021 / Online: 27 April 2021 (09:46:32 CEST)
How to cite:
Yang, X.-J. A Direct Approach for the Lindelöf Conjecture Related to Theory of the Riemann Zeta Function. Preprints2021, 2021040698. https://doi.org/10.20944/preprints202104.0698.v1
Yang, X.-J. A Direct Approach for the Lindelöf Conjecture Related to Theory of the Riemann Zeta Function. Preprints 2021, 2021040698. https://doi.org/10.20944/preprints202104.0698.v1
Yang, X.-J. A Direct Approach for the Lindelöf Conjecture Related to Theory of the Riemann Zeta Function. Preprints2021, 2021040698. https://doi.org/10.20944/preprints202104.0698.v1
APA Style
Yang, X. J. (2021). A Direct Approach for the Lindelöf Conjecture Related to Theory of the Riemann Zeta Function. Preprints. https://doi.org/10.20944/preprints202104.0698.v1
Chicago/Turabian Style
Yang, X. 2021 "A Direct Approach for the Lindelöf Conjecture Related to Theory of the Riemann Zeta Function" Preprints. https://doi.org/10.20944/preprints202104.0698.v1
Abstract
It is due to Littlewood that the truth of the Riemann theorem implies that of the Lindel\"{o}f conjecture. This paper aims to use the idea of Littlewood to prove the Lindel\"{o}f conjecture for the Riemann zeta function. The Lindel\"{o}f $\mu $ function at the critical line is zero, with use of the Riemann theorem for the entire Riemann zeta function, proved based on the work of Heath-Brown. Our result is given to show that the Lindel\"{o}f conjecture, connected with the proof of the moment conjecture, is true.
Computer Science and Mathematics, Algebra and Number Theory
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
