Results 141 to 150 of about 68,409 (246)
Möbius convolutions and the Riemann hypothesis
International Journal of Mathematics and Mathematical Sciences, 2005 Luis Báez-Duarte
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Brain and Behavior, Volume 15, Issue 7, July 2025.Causal Link: Depression → TBI via MR Analysis ABSTRACT Background Traumatic brain injury (TBI) and depression are major global health burdens, yet their bidirectional causal relationship remains unclear. Objective To explore the causal relationship between depression and TBI, and to clarify whether depression is one of the potential risk factors for ...
Shiping Wang +11 more
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Detecting Changes in Space‐Varying Parameters of Local Poisson Point Processes
Environmetrics, Volume 36, Issue 5, July 2025.ABSTRACT Recent advances in local models for point processes have highlighted the need for flexible methodologies to account for the spatial heterogeneity of external covariates influencing process intensity. In this work, we introduce tessellated spatial regression, a novel framework that extends segmented regression models to spatial point processes,
Nicoletta D'Angelo
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Note for the Riemann Hypothesis
Let $\Psi(n) = n \cdot \prod_{q \mid n} \left(1 + \frac{1}{q} \right)$ denote the Dedekind $\Psi$ function where $q \mid n$ means the prime $q$ divides $n$. Define, for $n \geq 3$; the ratio $R(n) = \frac{\Psi(n)}{n \cdot \log \log n}$ where $\log$ is the natural logarithm. Let $N_{n} = 2 \cdot \ldots \cdot q_{n}$ be the primorial of order $n$.
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Properties of a Linear Operator Involving Lambert Series and Rabotnov Function
International Journal of Mathematics and Mathematical SciencesThis work is an attempt to apply Lambert series in the theory of univalent functions. We first consider the Hadamard product of Rabotnov function and Lambert series with coefficients derived from the arithmetic function σn to introduce a normalized ...
Jamal Salah
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Optimal Zero‐Free Regions for the Independence Polynomial of Bounded Degree Hypergraphs
Random Structures &Algorithms, Volume 66, Issue 4, July 2025.ABSTRACT In this paper, we investigate the distribution of zeros of the independence polynomial of hypergraphs of maximum degree Δ$$ \Delta $$. For graphs, the largest zero‐free disk around zero was described by Shearer as having radius λs(Δ)=(Δ−1)Δ−1/ΔΔ$$ {\lambda}_s\left(\Delta \right)={\left(\Delta -1\right)}^{\Delta -1}/{\Delta}^{\Delta ...
Ferenc Bencs, Pjotr Buys
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Journal of Geophysical Research: Solid Earth, Volume 130, Issue 7, July 2025.Abstract The nonlinear mechanical responses of rocks and soils to seismic waves play an important role in earthquake physics, influencing ground motion from source to site. Continuous geophysical monitoring, such as ambient noise interferometry, has revealed co‐seismic wave speed reductions extending tens of kilometers from earthquake sources. However,
Zihua Niu +5 more
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Arithmetic constants for symplectic variances of the divisor function
Mathematika, Volume 71, Issue 3, July 2025.Abstract Kuperberg and Lalín stated some conjectures on the variance of certain sums of the divisor function dk(n)$d_k(n)$ over number fields, which were inspired by analogous results over function fields proven by the authors. These problems are related to certain symplectic matrix integrals. While the function field results can be directly related to
Vivian Kuperberg, Matilde Lalín
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Estimation of Reconnection Rate From Soft X‐Ray Emission at the Earth's Dayside Magnetopause
Geophysical Research Letters, Volume 52, Issue 12, 28 June 2025.Abstract We propose an approach to estimating the reconnection rate by utilizing soft X‐rays emitted during the solar wind charge exchange (SWCX) process at the Earth's magnetopause. Employing a high‐resolution global magnetohydrodynamic (MHD) simulation model of the magnetosphere, we investigated the SWCX emission around the magnetopause during a ...
Ryota Momose +2 more
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