Results 41 to 50 of about 637 (159)

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
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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
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Moments of the Riemann zeta function [PDF]

Annals of Mathematics, 2009
Assuming the Riemann Hypothesis we obtain an upper bound for the moments of the Riemann zeta-function on the critical line. Our bound is nearly as sharp as the conjectured asymptotic formulae for these moments. The method extends to moments in families of $L$-functions.
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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
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Summability methods based on the Riemann Zeta function

International Journal of Mathematics and Mathematical Sciences, 1988
This paper is a study of summability methods that are based on the Riemann Zeta function. A limitation theorem is proved which gives a necessary condition for a sequence x to be zeta summable.
Larry K. Chu
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Metamaterials and Cesàro convergence

AIP Advances, 2020
In this paper, we show that the linear dielectrics and magnetic materials in matter obey a special kind of mathematical property known as Cesàro convergence.
Yuganand Nellambakam, K. V. S. Shiv Chaitanya   +1 more
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Scalar modular bootstrap and zeros of the Riemann zeta function

Journal of High Energy Physics, 2022
Using the technology of harmonic analysis, we derive a crossing equation that acts only on the scalar primary operators of any two-dimensional conformal field theory with U(1) c symmetry. From this crossing equation, we derive bounds on the scalar gap of
Nathan Benjamin, Cyuan-Han Chang
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Riemann zeros from Floquet engineering a trapped-ion qubit

npj Quantum Information, 2021
The non-trivial zeros of the Riemann zeta function are central objects in number theory. In particular, they enable one to reproduce the prime numbers. They have also attracted the attention of physicists working in random matrix theory and quantum chaos
Ran He, Ming-Zhong Ai, Jin-Ming Cui, Yun-Feng Huang, Yong-Jian Han, Chuan-Feng Li, Guang-Can Guo, G. Sierra, C. E. Creffield   +8 more
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Joint universality of some zeta-functions. I

Lietuvos Matematikos Rinkinys, 2010
In the paper, the joint universality for the Riemann zeta-function and a collection of periodic Hurwitz zeta functions is discussed and basic results are given.
Santa Račkauskienė, Darius Šiaučiūnas   +1 more
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The Extension of the Riemann’s Zeta Function

International Journal of Basic Sciences and Applied Computing
In mathematics, the search for exact formulas giving all the prime numbers, certain families of prime numbers or the n-th prime number has generally proved to be vain, which has led to contenting oneself with approximate formulas [8]. The purpose of this article is to give a new proof of the Riemann hypothesis [4]-which is closely related to the ...
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