Results 51 to 60 of about 3,119 (142)
Bounded exponential sums with multiplicative coefficients
Mathematika, Volume 72, Issue 4, October 2026.Abstract We investigate when the exponential sum Sf(x,α):=∑n⩽xf(n)e(nα)$S_f(x,\alpha) := \sum _{n\leqslant x}f(n)\mathrm{e}(n\alpha)$ is bounded, for a multiplicative function f$f$ and α∈R$\alpha \in \mathbb {R}$. We show that under natural assumptions, Sf(x,α)$S_f(x,\alpha)$ is bounded only when f$f$ is very close to a twisted Dirichlet character χ(n ...
Péa Bazin, Ihor Pylaiev, Fred Tyrrell
wiley +1 more source
Zeros of polynomials in derivatives of automorphic L$L$‐functions
Mathematika, Volume 72, Issue 4, October 2026.Abstract Let Fm$\mathfrak {F}_m$ be the set of all cuspidal automorphic representations of GLm(AQ)$\mathrm{GL}_m(\mathbb {A}_{\mathbb {Q}})$, and let F(s,π)$F(s,\bm {\pi })$ be a polynomial in the derivatives of L$L$‐functions associated with representations π∈⋃m=1∞Fm$\pi \in \bigcup _{m=1}^{\infty } \mathfrak {F}_m$. We establish an asymptotic formula
Anji Dong +2 more
wiley +1 more source
Journal of Forecasting, Volume 45, Issue 6, Page 2905-2941, September 2026.ABSTRACT This paper adopts a bivariate Markov‐switching multifractal (BMSM) model to reexamine comovement in SV between commodity, foreign exchange (FX), and stock markets. After the 2007–2008 global financial crisis understanding volatility linkages and the correlation structure between these markets becomes very important for risk analysts, portfolio
Ruipeng Liu +3 more
wiley +1 more source
Numerical Methods for Partial Differential Equations, Volume 42, Issue 5, September 2026.ABSTRACT In this work, we present an extension of the semi‐discrete Lagrangian‐Eulerian numerical scheme for diffusive‐dispersive conservation law problems, including a jump discontinuous flux function. As in the one‐dimensional scalar hyperbolic case, the no‐flow curves also organize the geometry of the method.
Eduardo Abreu +2 more
wiley +1 more source
British Journal of Educational Psychology, Volume 96, Issue 3, Page 1396-1418, September 2026.Abstract Background Conceptual and procedural knowledge are two distinct types of mathematical knowledge. Measuring them with sufficient discriminant validity is challenging because they are typically highly correlated. Prior studies have demonstrated discriminant validity of paper‐and‐pencil measures separately for fractions and algebra.
Michael D'Erchie +3 more
wiley +1 more source
A Time‐Centred Perspective on Classroom‐Based Physical Activity
European Journal of Education, Volume 61, Issue 3, September 2026.ABSTRACT Schools are recognized as a key setting for preventing physical inactivity–related health issues early in life. Despite schools offering a rich set of opportunities to integrate physical activity (PA) without disadvantages for learning, those opportunities are often underutilized in ‘traditional’ educational environments where PA is primarily ...
Fabian Herold +7 more
wiley +1 more source
Surface subgroups for cocompact lattices of isometries of H2n$\mathbb {H}^{2n}$
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We prove the existence of surface subgroups within any cocompact lattice Γ$\Gamma$ in SO(2n,1)$\mathrm{SO}(2n,1)$ for n⩾2$n\geqslant 2$. This result addresses the cases missing from the work of Hamenstädt in 2015, who constructed surface subgroups in cocompact lattices for all other rank‐1 simple Lie groups of noncompact type.
Jeremy Kahn, Zhenghao Rao
wiley +1 more source
Self‐Similar Blowup for the Cubic Schrödinger Equation
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1831-1918, August 2026.ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley +1 more source
Earthquake Spectra, Volume 42, Issue 3, August 2026.This study quantifies the influence of multidimensional effects on site response in the Wellington region of New Zealand by comparing results from different simulation approaches. Response‐spectral amplification functions from 1D and 2D site response analyses are compared to quantify the magnitude and spatial distribution of multidimensional effects ...
Christopher A. de la Torre +3 more
wiley +1 more source
Quantification of Direct Benefits of Functional Recovery‐Based Design for Seismic Resilience
Earthquake Spectra, Volume 42, Issue 3, August 2026.Lessons from recent major earthquakes have shown that current life‐safety‐centered seismic design practice falls short in ensuring a desirable post‐hazard recovery. Extensive economic losses, high demolition rates, and long recovery have signified a gap between design targets and society's expectations of seismic performance of code‐compliant buildings.
Kasra Habibi +3 more
wiley +1 more source