密な群と局所場上の幾何学 - 2026/11/9の論文22本

arXiv math.NTの新着論文22本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-11-09/ Composite witness sieves, Kneser--Plancherel containers, and the exponent $5/7$ for the Erd\H{o}s--Straus conjecture Burgess' bounds with prime moduli Joint Approximation and the Mixed-Prime Character Group An Elementary Proof of the Binary Goldbach Conjecture The existence of small defining polynomials for number fields, II Campana points on quadrics with hyperplane boundary Elliptic units, derived Heegner classes and the p-adic Birch and Swinnerton-Dyer quotient of CM elliptic curves of rank two Bounded Ratios of Best Approximations: Sharp Bounds and Spectra of Diophantine Exponents Root sharing and $2$-adic interpolation for Legendre polynomials The exceptional set of Goldbach numbers among polynomial values Curves with absolutely irreducible Tate modules over $p$-adic fields Permutation polynomials from quadratic and linear forms On a Problem of Gordon and Hughes: The 11-adic Properties of Meromorphic Modular Functions on $\mathrm{X}_0(22)$ Euler trace congruences over local fields Harper's beyond square-root conjecture for random matrices Mellin Transform formulas for special values of Goss $L$-functions Counting Finite Maps through Functional Digraphs and Fibers A counterexample to Manin's Conjecture for almost Fano varieties Zariski dense hyperbolic 3-manifold groups in $\mathrm{SL}(4,\mathbb{Z})$ Cuspidal sections for varieties of arbitrary dimension One complex metric and geometric adelic nefness Supercuspidal and elliptic densities for reductive groups over non-archimedean local fields