Results 51 to 60 of about 5,518,989 (159)

Metamaterials and Cesàro convergence

AIP Advances, 2020
In this paper, we show that the linear dielectrics and magnetic materials in matter obey a special kind of mathematical property known as Cesàro convergence.
Yuganand Nellambakam, K. V. S. Shiv Chaitanya   +1 more
doaj   +1 more source

Foliation of null cones by surfaces of constant spacetime mean curvature near MOTS

Journal of the London Mathematical Society, Volume 114, Issue 5, November 2026.
Abstract Marginally outer trapped surfaces (MOTS) in spacetimes are well‐known to indicate the existence of black holes. Using flow techniques, we prove that a neighbourhood of a stable MOTS in a null cone may be foliated by hypersurfaces of constant spacetime mean curvature.
Ben Lambert, Julian Scheuer
wiley   +1 more source

Scalar modular bootstrap and zeros of the Riemann zeta function

Journal of High Energy Physics, 2022
Using the technology of harmonic analysis, we derive a crossing equation that acts only on the scalar primary operators of any two-dimensional conformal field theory with U(1) c symmetry. From this crossing equation, we derive bounds on the scalar gap of
Nathan Benjamin, Cyuan-Han Chang
doaj   +1 more source

Mixed motives and linear forms in the Catalan constant

Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.
Abstract We first give a geometric construction of a two‐dimensional mixed motive over Q${\mathbb {Q}}$ with the Catalan constant G=1−1/32+1/52−1/72+⋯${\mathbf {G}}=1-1/3^2+1/5^2-1/7^2+\cdots$ as a period. We then use this motive to obtain a supply of linear forms in 1 and G${\mathbf {G}}$.
Payman Eskandari, V. Kumar Murty, Yusuke Nemoto   +2 more
wiley   +1 more source

Riemann zeros from Floquet engineering a trapped-ion qubit

npj Quantum Information, 2021
The non-trivial zeros of the Riemann zeta function are central objects in number theory. In particular, they enable one to reproduce the prime numbers. They have also attracted the attention of physicists working in random matrix theory and quantum chaos
Ran He, Ming-Zhong Ai, Jin-Ming Cui, Yun-Feng Huang, Yong-Jian Han, Chuan-Feng Li, Guang-Can Guo, G. Sierra, C. E. Creffield   +8 more
doaj   +1 more source

Optimal bounds for the Kobayashi distance near C2$\mathcal {C}^2$‐smooth boundary points

Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.
Abstract It is shown that the optimal upper and lower bounds for the Kobayashi distance near C2,α$\mathcal {C}^{2,\alpha }$‐smooth strongly pseudoconvex boundary points obtained in Kosiński, Nikolov, and Ökten [Adv. Math. 478 (2025), 110388] remain true in the general C2$\mathcal {C}^2$‐smooth strongly pseudoconvex setting.
Nikolai Nikolov, Pascal J. Thomas
wiley   +1 more source

Joint universality of some zeta-functions. I

Lietuvos Matematikos Rinkinys, 2010
In the paper, the joint universality for the Riemann zeta-function and a collection of periodic Hurwitz zeta functions is discussed and basic results are given.
Santa Račkauskienė, Darius Šiaučiūnas   +1 more
doaj   +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, Nawapan Wattanawanichkul, Alexandru Zaharescu   +2 more
wiley   +1 more source

Murmurations via Petersson trace formula

Mathematika, Volume 72, Issue 4, October 2026.
Abstract We prove the murmuration phenomenon, which is a correlation between signs of functional equations and Fourier coefficients, in the case of modular forms in the weight aspect. We in particular improve the range of visibility of murmurations compared to previous results.
Chan Ieong Kuan, Didier Lesesvre
wiley   +1 more source

Fractional Moment Theory for Anomalous Transport: A Unified Framework for Lévy Flights, Fractals, and Complex Dynamical Systems

Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14964-15009, 15 September 2026.
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley   +1 more source