Results 71 to 80 of about 235,890 (287)

Equivalents of the Riemann hypothesis involving the Gram points

Mathematical Modelling and Analysis
The Riemann hypothesis (RH) on zeros of the zeta-function $\zeta(s)$, $s=\sigma +it$, states that all zeros of $\zeta(s)$ in the strip $0< \sigma < 1$ lie on the line  $\sigma =1/2$. Several equivalents of RH are known.
Julija Karaliūnaitė, Antanas Laurinčikas   +1 more
doaj   +1 more source

On the relation of nonanticipative rate distortion function and filtering theory

, 2013
In this paper the relation between nonanticipative rate distortion function (RDF) and Bayesian filtering theory is investigated using the topology of weak convergence of probability measures on Polish spaces.
Charalambous, Charalambos D., Stavrou, Photios A.   +1 more
core   +1 more source

Efficient Charge Transport in Zero‐Dimensional Perovskite for Ultrahigh‐Sensitivity X‐Ray Detection

Advanced Functional Materials, EarlyView.
A novel mono‐octahedral 0D Bi‐based Dpy3Bi2I12 perovskite strengthens the internal hydrogen bonds and forms a quasi‐2D lattice, exhibits exceptional charge transport and mobility, achieving high X‐ray sensitivity and ultralow‐dose imaging, and setting a new benchmark for 0D detector performance.
Xin Song, Lijie Wang, Jiayi Wang, Yafeng Xu, Renqian Zhou, Shulin Chen, Partha Maity, Peng Yuan, Yongcao Zhang, Bingyao Shao, Jian‐Xin Wang, Jun Yin, Ren‐Wu Huang, Youyou Yuan, Taimoor Ahmad, Osman M. Bakr, Omar F. Mohammed   +16 more
wiley   +1 more source

On Joint Approximation of Analytic Functions by Beurling Zeta-Functions

Mathematics
For j=1,…,r, let Pj be a system of generalized prime numbers, NPj the corresponding system of generalized integers, and ζPj(s), s=σ+it, the Beurling zeta-function. In the paper, we consider simultaneous approximation of a collection of analytic functions
Andrius Geštautas, Antanas Laurinčikas, Darius Šiaučiūnas   +2 more
doaj   +1 more source

s‐Orbital Mediated Metavalent Bonding Enables State‐Of‐The‐Art n‐Type AgBiSe2 Thermoelectrics

Advanced Functional Materials, EarlyView.
Metavalent bonding (MVB) underpins the exceptional property portfolio of chalcogenides. Typical MVB solids are mainly found in p‐bonded systems. This work reveals that MVB can also be formed with s‐p orbital interactions upon forming a single‐electron σ‐bond, as exemplified in AgBiSe2.
Binrong Huang, Dasol Kim, Yuan Yu, Jinxuan Zhong, Jianbo Zhu, Yaoling Shen, Yu Guo, Moran Wang, Jiawei Huang, Tu Lyu, Nan Lin, Yongsheng Zhang, Matthias Wuttig, Lipeng Hu   +13 more
wiley   +1 more source

On Equivalents of the Riemann Hypothesis Connected to the Approximation Properties of the Zeta Function

Axioms
The famous Riemann hypothesis (RH) asserts that all non-trivial zeros of the Riemann zeta function ζ(s) (zeros different from s=−2m, m∈N) lie on the critical line σ=1/2.
Antanas Laurinčikas
doaj   +1 more source

Surjective Lévy-Prokhorov Isometries [PDF]

, 2017
According to the fundamental work of Yu.V. Prokhorov, the general theory of stochastic processes can be regarded as the theory of probability measures in complete separable metric spaces.
Gehér, György Pál, Titkos, Tamás
core  

Large deviations of empirical neighborhood distribution in sparse random graphs

, 2014
Consider the Erd\H{o}s-Renyi random graph on n vertices where each edge is present independently with probability c/n, with c>0 fixed. For large n, a typical random graph locally behaves like a Galton-Watson tree with Poisson offspring distribution with ...
Bordenave, Charles, Caputo, Pietro
core   +1 more source

Fabrication of Pyridinic Nitrogen‐Functionalized Carbon Cloth for High‐Performance Iron‐Chromium Flow Batteries

Advanced Functional Materials, EarlyView.
The carbon cloth electrode with targeted pyridinic nitrogen doping, achieved via urea pyrolysis, effectively modulates the adsorption of Cr(II) species and enhances electron transfer, leading to significantly improved kinetics of the Cr(II)/Cr(III) reaction. The material demonstrates a high discharge capacity of 689.3 mAh and an energy efficiency of 72.
Jinfeng Yi, Senwei Zeng, Runfa Zhao, Guangfu Wu, Zhi Liu, Tianhang Zhou, Chunming Xu, Jia Guo, Quan Xu, Yingchun Niu   +9 more
wiley   +1 more source

Capacity Analysis for Continuous Alphabet Channels with Side Information, Part I: A General Framework

, 2004
Capacity analysis for channels with side information at the receiver has been an active area of interest. This problem is well investigated for the case of finite alphabet channels.
Fozunbal, Majid, McLaughlin, Steven W., Schafer, Ronald W.   +2 more
core   +1 more source