Results 121 to 130 of about 781 (209)
steel research international, Volume 97, Issue 7, Page 3851-3869, July 2026.Hydrogen‐based direct reduced iron (H‐DRI) melts differently from scrap and carbon‐bearing DRI. This work combines differential scanning calorimetry experiments, FactSage thermodynamics, and simple composition‐based regression to predict solidus, liquidus, heat capacity, and enthalpy for H‐DRI.
Ankur Agnihotri +3 more
wiley +1 more source
Shaped electrodes for adaptive X‐ray optics
Journal of Synchrotron Radiation, Volume 33, Issue 4, Page 961-967, July 2026.For adaptive X‐ray optics on high‐performance beamline optical systems, we describe an approach to mirror figure and slope control using patterned, shaped electrodes to control the local curvature on a lithium niobate substrate from a single applied voltage. Longitudinally continuous electrode patterns achieve target shapes without discontinuities, and
Kenneth A. Goldberg +2 more
wiley +1 more source
On the moments of exponential sums over r$r$‐free polynomials
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract Let Fq[t]${\mathbb {F}}_q[t]$ denote the ring of polynomials over the finite field Fq${\mathbb {F}}_q$. Building off of techniques of Balog and Ruzsa and of Keil in the integer setting, we determine the precise order of magnitude of k$k$th moments of exponential sums over r$r$‐free polynomials in Fq[t]${\mathbb {F}}_q[t]$ for all k>0$k>0$.
Ben Doyle
wiley +1 more source
An elegant model of the geodesic flow on the modular surface
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract Caroline Series' [The modular surface and continued fractions, J. Lond. Math. Soc. (2), 31, no. 1, (1985), 69–80] gives a clear framework linking, in a deceptively simple way, the dynamics of the geodesic flow on the modular surface with the dynamics of the regular continued fraction, through a well‐chosen symbolic coding.
Pierre Arnoux, Thomas A. Schmidt
wiley +1 more source
Random Diophantine equations in the primes
Mathematika, Volume 72, Issue 3, July 2026.Abstract We consider equations of the form a1x1k+⋯+asxsk=0$a_{1}x_{1}^{k}+\cdots +a_{s}x_{s}^{k}=0$ where the variables xi$x_{i}$ are all taken to be primes. We define an analogue of the Hasse principle for solubility in the primes (which we call the prime Hasse principle), and prove that, whenever k⩾2$k\geqslant 2$, s⩾3k+2$s\geqslant 3k+2$, this holds
Philippa Holdridge
wiley +1 more source
Quantitative asymptotics for polynomial patterns in the primes
Mathematika, Volume 72, Issue 3, July 2026.Abstract We prove quantitative estimates for averages of the von Mangoldt and Möbius functions along polynomial progressions n+P1(m),…,n+Pk(m)$n+P_1(m),\ldots, n+P_k(m)$ for a large class of polynomials Pi$P_i$. The error terms obtained save an arbitrary power of logarithm, matching the classical Siegel–Walfisz error term.
Lilian Matthiesen +2 more
wiley +1 more source
The role of the curvature of a surface in the shape of the solutions to elliptic equations
Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.Abstract We prove the uniqueness and nondegeneracy of the critical point of positive, semistable solutions of −Δu=f(u)$-\Delta u=f(u)$ with Dirichlet boundary conditions for a class of star‐shaped domains on the sphere and in the hyperbolic plane satisfying a geometric condition.
Francesca Gladiali +2 more
wiley +1 more source
Multiple Twisted
Advances in Difference Equations, 2008 By using -adic -integrals on , we define multiple twisted -Euler numbers and polynomials. We also find Witt's type formula for multiple twisted -Euler numbers and discuss some characterizations of multiple twisted -Euler Zeta functions.
Jang Lee-Chae
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