Remarks on the Connection of the Riemann Hypothesis to Self-Approximation
By the Bagchi theorem, the Riemann hypothesis (all non-trivial zeros lie on the critical line) is equivalent to the self-approximation of the function <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi...
| Published in: | Computation |
|---|---|
| Main Author: | Antanas Laurinčikas |
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2024-08-01
|
| Subjects: | |
| Online Access: | https://www.mdpi.com/2079-3197/12/8/164 |
Similar Items
On Equivalents of the Riemann Hypothesis Connected to the Approximation Properties of the Zeta Function
by: Antanas Laurinčikas
Published: (2025-02-01)
by: Antanas Laurinčikas
Published: (2025-02-01)
Equivalents of the Riemann hypothesis involving the Gram points
by: Julija Karaliūnaitė, et al.
Published: (2025-09-01)
by: Julija Karaliūnaitė, et al.
Published: (2025-09-01)
On joint discrete universality of the Riemann zeta-function in short intervals
by: Kalyan Chakraborty, et al.
Published: (2023-10-01)
by: Kalyan Chakraborty, et al.
Published: (2023-10-01)
Discrete Approximation by a Dirichlet Series Connected to the Riemann Zeta-Function
by: Antanas Laurinčikas, et al.
Published: (2021-05-01)
by: Antanas Laurinčikas, et al.
Published: (2021-05-01)
Joint Discrete Approximation of Analytic Functions by Shifts of the Riemann Zeta Function Twisted by Gram Points II
by: Antanas Laurinčikas
Published: (2023-04-01)
by: Antanas Laurinčikas
Published: (2023-04-01)
Joint Approximation of Analytic Functions by Shifts of the Riemann Zeta-Function Twisted by the Gram Function II
by: Antanas Laurinčikas
Published: (2022-11-01)
by: Antanas Laurinčikas
Published: (2022-11-01)
On the Approximation by Mellin Transform of the Riemann Zeta-Function
by: Maxim Korolev, et al.
Published: (2023-05-01)
by: Maxim Korolev, et al.
Published: (2023-05-01)
Joint Universality in Short Intervals with Generalized Shifts for the Riemann Zeta-Function
by: Antanas Laurinčikas
Published: (2022-05-01)
by: Antanas Laurinčikas
Published: (2022-05-01)
On the Discrete Approximation by the Mellin Transform of the Riemann Zeta-Function
by: Virginija Garbaliauskienė, et al.
Published: (2023-05-01)
by: Virginija Garbaliauskienė, et al.
Published: (2023-05-01)
Generalized Universality for Compositions of the Riemann Zeta-Function in Short Intervals
by: Antanas Laurinčikas, et al.
Published: (2023-05-01)
by: Antanas Laurinčikas, et al.
Published: (2023-05-01)
Generalized Limit Theorem for Mellin Transform of the Riemann Zeta-Function
by: Antanas Laurinčikas, et al.
Published: (2024-04-01)
by: Antanas Laurinčikas, et al.
Published: (2024-04-01)
On Approximation by an Absolutely Convergent Integral Related to the Mellin Transform
by: Antanas Laurinčikas
Published: (2023-08-01)
by: Antanas Laurinčikas
Published: (2023-08-01)
A Two-Dimentional Discrete Limit Theorem in the Space of Analytic Functions for Mellin Transforms of the Riemann Zeta-Function
by: V. Balinskaitė, et al.
Published: (2008-04-01)
by: V. Balinskaitė, et al.
Published: (2008-04-01)
Li's criterion for the Riemann hypothesis - numerical approach
by: Krzysztof Maślanka
Published: (2004-01-01)
by: Krzysztof Maślanka
Published: (2004-01-01)
On generalized shifts of the Mellin transform of the Riemann zeta-function
by: Laurinčikas Antanas, et al.
Published: (2024-09-01)
by: Laurinčikas Antanas, et al.
Published: (2024-09-01)
On The Hidden Structure of Odd Numbers and Its Consequences for the Riemann Hypothesis
by: Junior Mukomene
Published: (2024-02-01)
by: Junior Mukomene
Published: (2024-02-01)
Joint universality of periodic zeta-functions with multiplicative coefficients. II
by: Antanas Laurinčikas, et al.
Published: (2021-05-01)
by: Antanas Laurinčikas, et al.
Published: (2021-05-01)
On the Functional Independence of the Riemann Zeta-Function
by: Virginija Garbaliauskienė, et al.
Published: (2023-03-01)
by: Virginija Garbaliauskienė, et al.
Published: (2023-03-01)
Universality in Short Intervals of the Riemann Zeta-Function Twisted by Non-Trivial Zeros
by: Antanas Laurinčikas, et al.
Published: (2020-11-01)
by: Antanas Laurinčikas, et al.
Published: (2020-11-01)
Development of a New Zeta Formula and Its Role in Riemann Hypothesis and Quantum Physics
by: Saadeldin Abdelaziz, et al.
Published: (2023-07-01)
by: Saadeldin Abdelaziz, et al.
Published: (2023-07-01)
On Value Distribution for the Mellin Transform of the Fourth Power of the Riemann Zeta Function
by: Virginija Garbaliauskienė, et al.
Published: (2025-01-01)
by: Virginija Garbaliauskienė, et al.
Published: (2025-01-01)
On zeros of some composite functions
by: Jovita Rašytė
Published: (2011-12-01)
by: Jovita Rašytė
Published: (2011-12-01)
A Joint Limit Theorem for Laplace Transforms of the Riemann Zeta–Function
by: A. Laurinčikas
Published: (2007-10-01)
by: A. Laurinčikas
Published: (2007-10-01)
Numerical Calculations to Grasp a Mathematical Issue Such as the Riemann Hypothesis
by: Michel Riguidel
Published: (2020-04-01)
by: Michel Riguidel
Published: (2020-04-01)
Euler–Riemann–Dirichlet Lattices: Applications of <i>η</i>(<i>s</i>) Function in Physics
by: Hector Eduardo Roman
Published: (2025-02-01)
by: Hector Eduardo Roman
Published: (2025-02-01)
An Analytical and Numerical Detour for the Riemann Hypothesis
by: Michel Riguidel
Published: (2021-11-01)
by: Michel Riguidel
Published: (2021-11-01)
On the Approximation of the Hardy <i>Z</i>-Function via High-Order Sections
by: Yochay Jerby
Published: (2024-08-01)
by: Yochay Jerby
Published: (2024-08-01)
A Novel Integral Equation for the Riemann Zeta Function and Large <i>t</i>-Asymptotics
by: Konstantinos Kalimeris, et al.
Published: (2019-07-01)
by: Konstantinos Kalimeris, et al.
Published: (2019-07-01)
Fungsi Zeta Riemann Genap Menggunakan Bilangan Bernoulli
by: Ikhsan Maulidi, et al.
Published: (2019-02-01)
by: Ikhsan Maulidi, et al.
Published: (2019-02-01)
The Approximation of Analytic Functions Using Shifts of the Lerch Zeta-Function in Short Intervals
by: Antanas Laurinčikas
Published: (2025-06-01)
by: Antanas Laurinčikas
Published: (2025-06-01)
Precalculated arrays-based algorithms for the calculation of the Riemann zeta-function
by: Lukas Kuzma, et al.
Published: (2022-05-01)
by: Lukas Kuzma, et al.
Published: (2022-05-01)
Fast convergence of generalized DeTemple sequences and the relation to the Riemann zeta function
by: Shanhe Wu, et al.
Published: (2017-05-01)
by: Shanhe Wu, et al.
Published: (2017-05-01)
Series with Binomial-like Coefficients for the Investigation of Fractal Structures Associated with the Riemann Zeta Function
by: Igoris Belovas, et al.
Published: (2022-05-01)
by: Igoris Belovas, et al.
Published: (2022-05-01)
Approximation of Analytic Functions by Shifts of Certain Compositions
by: Darius Šiaučiūnas, et al.
Published: (2021-10-01)
by: Darius Šiaučiūnas, et al.
Published: (2021-10-01)
Riemann y los Números Primos
by: José Manuel Sánchez Muñoz
Published: (2011-10-01)
by: José Manuel Sánchez Muñoz
Published: (2011-10-01)
Newton flow of the Riemann zeta function: separatrices control the appearance of zeros
by: J W Neuberger, et al.
Published: (2014-01-01)
by: J W Neuberger, et al.
Published: (2014-01-01)
An Approximation of the Prime Counting Function and a New Representation of the Riemann Zeta Function
by: Timothy Ganesan
Published: (2024-08-01)
by: Timothy Ganesan
Published: (2024-08-01)
Traces of certain integral operators related to the Riemann hypothesis
by: Alfredo Sotelo-Pejerrey
Published: (2023-08-01)
by: Alfredo Sotelo-Pejerrey
Published: (2023-08-01)
The inverses of tails of the generalized Riemann zeta function within the range of integers
by: Zhenjiang Pan, et al.
Published: (2023-10-01)
by: Zhenjiang Pan, et al.
Published: (2023-10-01)
Infinite Series Concerning Tails of Riemann Zeta Values
by: Chunli Li, et al.
Published: (2023-08-01)
by: Chunli Li, et al.
Published: (2023-08-01)
Similar Items
-
On Equivalents of the Riemann Hypothesis Connected to the Approximation Properties of the Zeta Function
by: Antanas Laurinčikas
Published: (2025-02-01) -
Equivalents of the Riemann hypothesis involving the Gram points
by: Julija Karaliūnaitė, et al.
Published: (2025-09-01) -
On joint discrete universality of the Riemann zeta-function in short intervals
by: Kalyan Chakraborty, et al.
Published: (2023-10-01) -
Discrete Approximation by a Dirichlet Series Connected to the Riemann Zeta-Function
by: Antanas Laurinčikas, et al.
Published: (2021-05-01) -
Joint Discrete Approximation of Analytic Functions by Shifts of the Riemann Zeta Function Twisted by Gram Points II
by: Antanas Laurinčikas
Published: (2023-04-01)
