Results 31 to 40 of about 276 (109)
Biases towards the zero residue class for quadratic forms in arithmetic progressions
Mathematika, Volume 72, Issue 2, April 2026.Abstract We prove a bias towards the zero residue class in the distribution of the integers represented by binary quadratic forms. In most cases, we prove that the bias comes from a secondary term in an associated asymptotic expansion. This is unlike Chebyshev's bias, which exists somewhere at the level of O(x1/2+ε)$O(x^{1/2+\varepsilon })$.
Jeremy Schlitt
wiley +1 more source
Subuniformity of harmonic mean p$$ p $$‐values
Canadian Journal of Statistics, Volume 54, Issue 1, March 2026.Abstract We obtain several inequalities on the generalized means of dependent p$$ p $$‐values. In particular, the weighted harmonic mean of p$$ p $$‐values is strictly subuniform under several dependence assumptions of p$$ p $$‐values, including independence, negative upper orthant dependence, the class of extremal mixture copulas, and some Clayton ...
Yuyu Chen +3 more
wiley +1 more source
HADA: A Hybrid Anomaly Detection Approach Using Unsupervised Machine Learning
Engineering Reports, Volume 8, Issue 3, March 2026.Overview of HADA, an unsupervised fraud detection pipeline that preprocesses and scales transaction data, applies PCA for dimensionality reduction, scores anomalies using Isolation Forest, selects anomalous transactions via thresholding, and clusters the selected anomalies using Agglomerative Hierarchical Clustering (AHC) to produce interpretable ...
Francis Thiong'o +3 more
wiley +1 more source
Analytical Solutions for the Impedance of Cauchy‐ and Gauss‐Type Relaxation Processes
ChemElectroChem, Volume 13, Issue 1, January 2026.Analytical solutions for the impedance of Cauchy‐type and Gauss‐type relaxation functions are derived. It is shown that neither of these frequently used basis functions for DRT reconstruction reflects classical experimental data at high and low frequencies.
Tim Tichter
wiley +1 more source
Beyond the Hodge theorem: Curl and asymmetric pseudodifferential projections
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We develop a new approach to the study of spectral asymmetry. Working with the operator curl:=∗d$\operatorname{curl}:={*}\mathrm{d}$ on a connected oriented closed Riemannian 3‐manifold, we construct, by means of microlocal analysis, the asymmetry operator — a scalar pseudodifferential operator of order −3$-3$.
Matteo Capoferri, Dmitri Vassiliev
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Harmonic Numbers: Insights, Approximations and Applications
Spreadsheets in Education, 2015 The applications of spreadsheets to mathematics allow learners to analyze mathematical ideas in ways never before possible. In this paper harmonic numbers are defined, calculated, approximated, and applied.
John A Rochowicz Jr
doaj +2 more sources
One‐level densities in families of Grössencharakters associated to CM elliptic curves
Mathematika, Volume 72, Issue 1, January 2026.Abstract We study the low‐lying zeros of a family of L$L$‐functions attached to the complex multiplication elliptic curve Ed:y2=x3−dx$E_d \;:\; y^2 = x^3 - dx$, for each odd and square‐free integer d$d$. Specifically, upon writing the L$L$‐function of Ed$E_d$ as L(s−12,ξd)$L(s-\frac{1}{2}, \xi _d)$ for the appropriate Grössencharakter ξd$\xi _d$ of ...
Chantal David, Lucile Devin, Ezra Waxman
wiley +1 more source
Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.In this study, we introduce the two‐parameter Pochhammer matrix function. Notably, we establish the (p, k) Pochhammer matrix symbol as a key new construct for our generalizations. Furthermore, we construct gamma and beta matrix functions of two parameters and prove properties similar to their classical counterparts.
Mohamed S. Al–Sheikh +4 more
wiley +1 more source
Advances in Meteorology, Volume 2026, Issue 1, 2026.Extreme value theory (EVT) is the standard framework for modeling rare events, but most applications remain static and do not explicitly represent temporal dependence. This study develops a synthesis‐based stochastic differential equation (SDE) whose stationary distribution is based on the generalized extreme value (GEV) law.
Erick A. Kyojo, Smritijit Sen
wiley +1 more source
New Relations on the Critical Line: Riemann Zeta Zeros, Divergent Series, and Infinite Numbers
MathematicsIn this work, a formal asymptotic framework based on infinite number expressions is employed to investigate structural relations associated with the Dirichlet representation of the Riemann zeta function. Within this framework, infinite number objects are
Emmanuel Thalassinakis
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