Results 51 to 60 of about 552,780 (265)

Exponential moments of the logarithm of the Riemann zeta-function twisted by arguments [PDF]

arXiv, 2022
We discuss moments of the Riemann zeta-function in this paper. The purpose of this paper is to give an upper bound of exponential moments of the logarithm of the Riemann zeta-function twisted by arguments. Our results contain an improvement of Najnudel result for exponential moments of the argument of the Riemann zeta-function and an unconditional ...
arxiv  

A remark on the Riemann zeta function

, 2022
We prove that if the number of nontrivial zeros of the Riemann zeta function which are not on the critical line is finite, then every nontrivial zero is on the critical line.
openaire   +1 more source

Linear Discontinuity Sharpening for Highly Resolved and Robust Magnetohydrodynamics Simulations

International Journal for Numerical Methods in Fluids, EarlyView.
This study applies a reconstruction scheme, “hybrid MUSCL–THINC” for finite volume methods developed by Chiu et al., to magnetohydrodynamics (MHD) simulations. Furthermore, the robustness is improved by a modification that deactivates an artificial compression by THINC depending on the non‐linearity of MHD discontinuities.
Tomohiro Mamashita, Gaku Fukushima, Keiichi Kitamura   +2 more
wiley   +1 more source

Discrete universality theorem for Matsumoto zeta-functions and nontrivial zeros of the Riemann zeta-function

Mathematical Modelling and Analysis
In 2017, Garunkštis, Laurinčikas and Macaitienė proved the discrete universality theorem for the Riemann zeta-function shifted by imaginary parts of nontrivial zeros of the Riemann zeta-function.
Keita Nakai
doaj   +1 more source

On Balazard, Saias, and Yor's equivalence to the Riemann Hypothesis

, 2013
Balazard, Saias, and Yor proved that the Riemann Hypothesis is equivalent to a certain weighted integral of the logarithm of the Riemann zeta-function along the critical line equaling zero.
Bui, H. M., Lester, S. J., Milinovich, M. B.   +2 more
core   +1 more source

Studies on Fractional Differential Equations With Functional Boundary Condition by Inverse Operators

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Fractional differential equations (FDEs) generalize classical integer‐order calculus to noninteger orders, enabling the modeling of complex phenomena that classical equations cannot fully capture. Their study has become essential across science, engineering, and mathematics due to their unique ability to describe systems with nonlocal ...
Chenkuan Li
wiley   +1 more source

On zeros of some composite functions

Lietuvos Matematikos Rinkinys, 2011
We obtain an estimate of the number of zeros for the function F(zeta(s + i mh)), where zeta(s) is the Riemann zeta-function, and F : H(D)–>  H(D) is a continuous function,  D = {s ꞓ C: 1/2  < sigma < 1}.
Jovita Rašytė
doaj   +1 more source

An investigation of the non-trivial zeros of the Riemann zeta function

, 2020
The zeros of the Riemann zeta function outside the critical strip are the so-called trivial zeros. While many zeros of the Riemann zeta function are located on the critical line $\Re(s)=1/2$, the non-existence of zeros in the remaining part of the ...
Heymann, Yuri
core  

The One‐Dimensional Coulomb Hamiltonian: Properties of Its Birman–Schwinger Operator

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The objective of the present paper is to study in detail the properties of the Birman–Schwinger operator for a self‐adjoint realization of the one‐dimensional Hamiltonian with the Coulomb potential, both when the Hamiltonian is defined only on ℝ+$$ {\mathbb{R}}_{+} $$ and when it is defined on the whole real line.
S. Fassari, M. Gadella, J. T. Lunardi, L. M. Nieto, F. Rinaldi   +4 more
wiley   +1 more source

A new generalization of the Riemann zeta function and its difference equation

Advances in Difference Equations, 2011
We have introduced a new generalization of the Riemann zeta function. A special case of our generalization converges locally uniformly to the Riemann zeta function in the critical strip.
Qadir Asghar, Tassaddiq Asifa, Chaudhry Muhammad   +2 more
doaj