SU\G(𝔸)/K·U

On Vinogradov's zero-free region for the Riemann zeta-function

Yoichi Motohashi

Type: Article

Publication Date: 1978-01-01

Citations: 3

DOI: https://doi.org/10.3792/pjaa.54.300

Abstract

2/3(log log (I t I+ 3))1/3.

Locations

  • Proceedings of the Japan Academy Series A Mathematical Sciences - View - PDF

Similar Works

Action Title Year Authors
+ PDF Chat An Explicit Zero-Free Region for the Riemann Zeta-Function 2000 Yuanyou Furui Cheng
+ An extension of Motohashi’s observation on the zero-free region of the Riemann zeta-function 2012 Sergei Preobrazhenskiĭ
+ Chapter IV. Vinogradov’s method in the theory of the Riemann zeta-function 1992
+ A characterization of the zero-free region of the Riemann zeta function and its applications 2022 Fei Wei
Dongsheng Wu
+ Zero-free regions for derivatives of the Selberg zeta-function 2018 Ramūnas Garunkštis
+ A note on zero-free regions for the derivative of Selberg zeta functions 2009 Makoto Minamide
+ Zero-free regions of derivatives of Riemann zeta function 1982 Disha Verma
Amarjit Kaur
+ The zero-free region of the derivative of Selberg zeta functions 2009 Makoto Minamide
+ Zero-free regions of the fractional derivatives of the Riemann zeta function 2022 Sebastian Pauli
Filip Saidak
+ PDF Chat VINOGRADOV'S INTEGRAL AND BOUNDS FOR THE RIEMANN ZETA FUNCTION 2002 Kevin Ford
+ PDF Chat A NOTE ON KADIRI'S EXPLICIT ZERO FREE REGION FOR RIEMANN ZETA FUNCTION 2014 Woo Jin Jang
Soun-Hi Kwon
+ PDF Chat Another zero-free region for 𝜁^{(𝑘)}(𝑠) 1970 Robert Spira
+ Explicit bounds for the Riemann zeta function and a new zero-free region 2023 Chiara Bellotti
+ Explicit zero-free regions for the Riemann zeta-function 2022 Michael J. Mossinghoff
Timothy S. Trudgian
Andrew Yang
+ PDF Chat Explicit zero-free regions for the Riemann zeta-function 2024 Michael J. Mossinghoff
Timothy S. Trudgian
Andrew Yang
+ On Titchmarsh’s Phenomenon in the Theory of the Riemann Zeta Function 2022 Sergeĭ Konyagin
Maxim Aleksandrovich Korolev
+ PDF Chat The Riemann Zeta Function and Its Zeroes 2022 Taghreed Hamdi Alhadbani
+ PDF Chat Contributions of Ramachandra to the Theory of the Riemann Zeta-Function 2017 A. Sankaranarayanan
+ On the zeros of Riemann's zeta-function 1943 Atle Selberg
+ Explicit bounds on $ζ(s)$ in the critical strip and a zero-free region 2023 Andrew Yang

Works That Cite This (3)

Action Title Year Authors
+ PDF Chat An Explicit Zero-Free Region for the Riemann Zeta-Function 2000 Yuanyou Furui Cheng
+ An Overview of the Sieve Method and its History 2005 Yoichi Motohashi
+ PDF Chat On the zero-free region of Dirichlet's $L$-functions 1978 Yoichi Motohashi

Works Cited by This (3)

Action Title Year Authors
+ Zur Absch�tzung der Riemannschen Zetafunktion in der N�he der Vertikalen ?=1 1967 H.-E. Richert
+ PDF Chat On the Deuring-Heilbronn phenomenon, II 1977 Yoichi Motohashi
+ Primes in arithmetic progressions 1978 Yoichi Motohashi