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On the Lang–Trotter conjecture for Siegel modular forms

Mathematika, 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

New results on embeddings of self‐similar sets via renormalization

Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.
Abstract For self‐similar sets X,Y⊆R$X,Y\subseteq \mathbb {R}$, we obtain new results toward the affine embeddings conjecture of Feng–Huang–Rao (2014), and the equivalent weak intersections conjecture. We show that the conjecture holds when the defining maps of X,Y$X,Y$ have algebraic contraction ratios, and also for arbitrary Y$Y$ when the maps ...
Amir Algom, Michael Hochman, Meng Wu
wiley +1 more source

RNA inverse folding can be solved in linear time for structures without isolated stacks or base pairs. [PDF]

Algorithms Mol Biol
Boury T, Gardelle S, Bulteau L, Ponty Y.
europepmc +1 more source

Enabling and Enhancing Massive Multiple Input-Multiple Output Systems with Two-Dimensional Orthogonal Pattern Division Multiple Access. [PDF]

Sensors (Basel)
Wang R, Yao J, Shi Y, Liu Z, Bai X.
europepmc +1 more source

Dual chaotic encryption method for wireless communication privacy data based on deep learning. [PDF]

PLoS One
Yu H.
europepmc +1 more source

Chaotic cosine and logistic map based robust image encryption with dual-stage confusion-diffusion architecture. [PDF]

Sci Rep
Amutha R, Phamila AV.
europepmc +1 more source

A Geometry of Hamiltonian Mechanics. [PDF]

Entropy (Basel)
Elgressy G, Horwitz L.
europepmc +1 more source

Image Encryption Algorithm Based on a New Two-Dimensional Chaotic System and Rotating Dial Model. [PDF]

Entropy (Basel)
Zhang X, Hu H.
europepmc +1 more source