Results 61 to 70 of about 2,105 (196)

A unified analytical framework for Mössbauer synchrotron sources

Journal of Synchrotron Radiation, Volume 33, Issue 4, Page 931-938, July 2026.
We present a unified analytical framework for Mössbauer synchrotron and X‐ray free‐electron laser sources that provides exact, rotationally invariant expressions for resonance energies and transition probabilities in mixed magnetic dipole–electric quadrupole interactions without Hamiltonian diagonalization.
Krzysztof R. Szymański
wiley   +1 more source

Renormalization techniques for inflation systems and some of their applications

Acta Crystallographica Section A, Volume 82, Issue 4, Page 294-304, July 2026.
In this work, renormalization methods for quantities related to the diffraction of inflation systems are surveyed.Exact renormalization techniques are important and powerful, particularly for inflation‐generated systems. We review recent results in this direction.
Michael Baake, Franz Gähler, Anna Klick, Neil Mañibo, Jan Mazáč   +4 more
wiley   +1 more source

Quantifier Elimination for Trigonometric Polynomials by Cylindrical Trigonometric Decomposition

Journal of Symbolic Computation, 2000
The authors present a quantifier elimination algorithm for some first-order formulas involving the trigonometric functions sine and cosine based on the cylindrical algebraic decomposition of semi-algebraic sets due to Collin (see \textit{G. E. Collins}, Lect. Notes Comput. Sci. 33, 134-183 (1975; Zbl 0318.02051)).
Petru Pau, Josef Schicho
openaire   +2 more sources

Automated Bandwidth Selection for Inference in Linear Models With Time‐Varying Coefficients

Journal of Time Series Analysis, Volume 47, Issue 4, Page 854-875, July 2026.
ABSTRACT The problem of selecting the smoothing parameter, or bandwidth, for kernel‐based estimators of time‐varying coefficients in linear models with possibly endogenous explanatory variables is considered. We examine automated bandwidth selection by means of cross‐validation, a nonparametric variant of Akaike's information criterion, and bootstrap ...
Charisios Grivas, Zacharias Psaradakis
wiley   +1 more source

Generalised spin Calogero–Moser systems from Cherednik algebras

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract Integrable spin Calogero–Moser type systems with non‐symmetric configurations of the singularities of the potential appeared in the work of Chalykh, Goncharenko and Veselov in 1999. We obtain various generalisations of these examples by making use of the representation theory of Cherednik algebras.
Misha Feigin, Mikhail Vasilev, Martin Vrabec   +2 more
wiley   +1 more source

Rational integrability of trigonometric polynomial potentials on the flat torus

, 2017
International audienceWe consider a lattice $\mathcal{L}\subset \mathbb{R}^n$ and a trigonometric potential $V$ with frequencies $k\in\mathcal{L}$. We then prove a strong rational integrability condition on $V$, using the support of its Fourier transform.
Thierry Combot, Combot, Thierry
core   +1 more source

Algorithms for Various Trigonometric Power Sums

Algorithms
In this paper, algorithms for different types of trigonometric power sums are developed and presented. Although interesting in their own right, these trigonometric power sums arise during the creation of an algorithm for the four types of twisted ...
Victor Kowalenko
doaj   +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, Joni Teräväinen, Mengdi Wang   +2 more
wiley   +1 more source

Trigonometric continuous-variable gates and hybrid quantum simulations of the sine-Gordon model

Journal of High Energy Physics
Hybrid qubit-qumode quantum computing platforms provide a natural setting for simulating interacting bosonic quantum field theories. However, existing continuous-variable gate constructions rely predominantly on polynomial functions of canonical ...
Tommaso Rainaldi, Victor Ale, Matt Grau, Dmitri Kharzeev, Enrique Rico, Felix Ringer, Pubasha Shome, George Siopsis   +7 more
doaj   +1 more source

On derivatives of conjugate trigonometric polynomials in L_0 (in Russian) [PDF]

Математичні Студії, 2012
We consider Szego type inequality, where the norm of the derivatives of the conjugate trigonometric polynomials is measured by the norm of the polynomial itself in L_0 space. We improve the estimate of the constant in it, which was got by V. V. Arestov
A. N. Adamov
doaj