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arXiv:2507.11596v3 Announce Type: replace Abstract: The recurrence for the $k$-generalized Fibonacci polynomials is usually iterated upwards to positive values of $n$ only. When the recurrence...
arXiv:2507.16364v3 Announce Type: replace Abstract: Let $D$ be the quatenion division algebra over a non-Archimedean local field $F$ of characteristic zero and odd residual characterisitc....
arXiv:2507.16677v3 Announce Type: replace Abstract: We propose a new model for random quotients of groups using independent random walks. In this model, we show that...
arXiv:2507.23706v2 Announce Type: replace Abstract: We show that the winding of low-lying closed geodesics on the modular surface has a Gaussian limiting distribution when normalized...
arXiv:2508.10199v2 Announce Type: replace Abstract: In a previous paper, arXiv:1301.4409, we showed that the moduli space of curves C with a G-symmetry (that is, with...
arXiv:2508.12748v2 Announce Type: replace Abstract: Empowered by deep learning, semantic communication marks a paradigm shift from transmitting raw data to conveying task-relevant meaning, enabling more...
arXiv:2508.13850v3 Announce Type: replace Abstract: We study the cone of non-negative polynomials on generalized elliptic curves. We show that the zero set of every extreme...
arXiv:2508.15209v2 Announce Type: replace Abstract: The spatial Kepler problem with a perturbation satisfying the rotational symmetry w.r.t. the $z$-axis and the reflection symmetry w.r.t. the...
arXiv:2508.19302v3 Announce Type: replace Abstract: In this short note it is shown that every graph of diameter 2 and minimum degree at least 3 contains...
arXiv:2508.20283v2 Announce Type: replace Abstract: The focus of this article is on metric completions of triangulated categories arising in the representation theory of hereditary finite...
arXiv:2509.00860v2 Announce Type: replace Abstract: We investigate geometric invariants of cuspidal edges on focal surfaces of regular surface. In particular, we shall clarify the sign...
arXiv:2509.04068v3 Announce Type: replace Abstract: Jordan schemes generalize association schemes in a similar way as Jordan algebras generalize the associative ones. It is well-known that...
arXiv:2509.05210v2 Announce Type: replace Abstract: We compute the maximal ratio of the algebraic intersection of two closed curves on two families of translation surfaces with...
arXiv:2509.05823v3 Announce Type: replace Abstract: Motivated by Tweedie's formula for the Compound Decision problem, we examine the theoretical foundations of empirical Bayes estimators that directly...
arXiv:2509.10774v2 Announce Type: replace Abstract: The purpose of this article is twofold. First, we prove that the squeezing function approaches 1 near strongly pseudoconvex boundary...
arXiv:2509.24600v3 Announce Type: replace Abstract: We derive exact values and new bounds for the Shannon capacity of two families of graphs: the $q$-Kneser graphs and...
arXiv:2509.26485v2 Announce Type: replace Abstract: We consider an inverse spectral problem for radial Schr\"odinger operators with singular potentials. First, we show that the knowledge of...
arXiv:2510.10505v2 Announce Type: replace Abstract: In this paper, we propose \textit{general Chen's first inequality} for Riemannian maps between Riemannian manifolds and manifest its equality and...
arXiv:2510.20648v2 Announce Type: replace Abstract: We first give a geometric construction of a 2-dimensional mixed motive over $\mathbb{Q}$ with the Catalan constant $\mathbf{G}=1-1/3^2+1/5^2-1/7^2+\cdots$ as a...
arXiv:2510.20717v2 Announce Type: replace Abstract: Many scientific applications involve testing theories that are only partially specified. This task often amounts to testing the goodness-of-fit of...
arXiv:2510.22544v2 Announce Type: replace Abstract: The present paper is devoted to existence results for time-periodic solutions of generalized nonlinear wave equations in a closed Riemannian...
arXiv:2511.02774v2 Announce Type: replace Abstract: In 1990, Baker and Montgomery conjectured that $L'(s,\chi_d)$ has $\asymp \log\log |d|$ real zeros in the interval $[1/2,1]$ for almost...
arXiv:2511.04978v2 Announce Type: replace Abstract: For an integer $r\geqslant 3$, a hypergraph on vertex set $[n]$ is $r$-uniform if each edge is a set of...
arXiv:2511.07184v2 Announce Type: replace Abstract: We extend the matrix representation of magnetic pseudo-differential operators in a tight Gabor frame from [arXiv:1804.05220, arXiv:2212.12229] to asymmetrical quantizations...