Results 201 to 210 of about 541 (254)

On the Lang–Trotter conjecture for Siegel modular forms

open access: yesMathematika, Volume 72, Issue 3, July 2026.
Abstract Let f$f$ be a genus‐two cuspidal Siegel eigenform. We prove an adelic open image theorem for the compatible system of Galois representations associated with f$f$, generalizing the results of Ribet and Momose for elliptic modular forms. Using this result, we investigate the distribution of the Hecke eigenvalues ap$a_p$ of f$f$, and obtain upper
Arvind Kumar, Moni Kumari, Ariel Weiss
wiley   +1 more source

Upscaling the Strength Domain of Heterogeneous Cohesive‐Frictional Materials via a General FFT‐Based Limit Analysis Approach

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 127, Issue 12, 30 June 2026.
ABSTRACT Limit analysis and yield design provide a well‐defined mathematical framework for upscaling the strength properties of heterogeneous materials. These techniques can be incorporated into an FFT‐based computational micromechanics framework to evaluate the strength of heterogeneous materials, based on images of their microstructure.
Elodie Donval, Matti Schneider
wiley   +1 more source

Evolution and Conceptual Insights into the Geometric Phase of Light: A Comprehensive Review

open access: yesAdvanced Photonics Research, Volume 7, Issue 6, June 2026.
This review presents a unified account of the geometric phase of light, linking its fundamental principles to diverse manifestations in polarization, spatial, and vector modes. By connecting theoretical frameworks with key experimental realizations, it reveals a coherent physical picture that deepens understanding and stimulates new directions in ...
A. Srinivasa Rao
wiley   +1 more source

Topological data analysis and topological deep learning beyond persistent homology: a review. [PDF]

open access: yesArtif Intell Rev
Su Z   +7 more
europepmc   +1 more source

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