Results 11 to 20 of about 5,189,489 (227)

On Evaluation of Riemann Zeta function ζ(s) [PDF]

, 2002
In this paper, by using Fourier series theory, several summing formulae for Riemann Zeta function ζ(s) and Dirichlet series are ...
Qi, Feng, Luo, Qiu-Ming, Guo, Bai-Ni
core   +6 more sources

ABC Conjecture and Riemann Hypothesis [PDF]

, 2004
In this paper, we consider two great unproven problems in mathematics in the language of inequalities; ABC conjecture and Riemann hypothesis. It is shown that the Riemann hypothesis is true in some initial cases.
Hassani, Mehdi
core   +6 more sources

Riemann Hypothesis in Special Cases [PDF]

, 2004
In this note, we show that the Riemann Hypothesis is true in some special ...
Hassani, Mehdi
core   +6 more sources

A Two Points Taylor's Formula for the Generalised Riemann Integral [PDF]

, 2008
A two points Taylor’s formula for the generalised Riemann integral and various bounds for the remainder are established.
Thompson, H. B, Dragomir, Sever S
core   +6 more sources

The pointwise behavior of Riemann’s function

Journal of Fractal Geometry, Mathematics of Fractals and Related Topics, 2023
We present a new and simple method for the determination of the pointwise Hölder exponent of Riemann's function \sum_{n=1}^{\infty} n^{-2}\sin(\pi n^{2} x) at every point of the real line.
Frederik Broucke, Jasson Vindas
openaire   +3 more sources

Some Numerical Significance of the Riemann Zeta Function

Recent Advances in Natural Sciences, 2023
In this paper, the Riemann analytic continuation formula (RACF) is derived from Euler’s quadratic equation. A nonlinear function and a polynomial function that were required in the derivation were also obtained.
Opeyemi O. Enoch, Lukman O. Salaudeen
doaj   +1 more source

New Results Involving Riemann Zeta Function Using Its Distributional Representation

Fractal and Fractional, 2022
The relation of special functions with fractional integral transforms has a great influence on modern science and research. For example, an old special function, namely, the Mittag–Leffler function, became the queen of fractional calculus because its ...
Asifa Tassaddiq, Rekha Srivastava
doaj   +1 more source

Riemann hypothesis and Zeta-Function

Bibechana, 2018
No abstract available.
Mani Raj Bhattrai
doaj   +3 more sources

ON GREEN’S FUNCTION OF DARBOUX PROBLEM FOR HYPERBOLIC EQUATION

Вестник КазНУ. Серия математика, механика, информатика, 2021
It is well known that the Darboux problem for the hyperbolic equation is correct, both in the senseof classical and generalized solutions. An integral form of the solution of the Darboux problem ina characteristic triangle for a general two-dimensional ...
M. A. Sadybekov, B. Derbissaly
doaj   +1 more source

Supersymmetry and the Riemann zeros on the critical line

Physics Letters B, 2019
We propose a new way of studying the Riemann zeros on the critical line using ideas from supersymmetry. Namely, we construct a supersymmetric quantum mechanical model whose energy eigenvalues correspond to the Riemann zeta function in the strip ...
Ashok Das, Pushpa Kalauni
doaj   +1 more source