ディオファントス方程式とガロア理論 - 2026/6/12の論文12本

arXiv math.NTの新着論文12本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-06-12/Lower bounds on expressions depending on the functions {\boldmath$\varphi(n)$}, {\boldmath$\psi(n)$} and {\boldmath$\sigma(n)$}, IIIRoot Clusters and Multiclusters over Imperfect Hilbertian FieldsAn AI Proof of 18-Variable Undecidability for Diophantine Equations over $\mathbb Z[i]$Splitting of Polynomial Families via Galois TheoryEffective Estimates for a Class of Farey Fraction Sums and Bounds for Mundici-Type ConstantsMulti-target hyperbolic sieves and elliptic trace obstructionsRamanujan's and Lim's Identities and Harmonic Maass--Jacobi FormsDiscrete Fourier Transform Approach to Cyclically Covering Subspaces of $\mathbb{F}^n_q$Some new modular Nahm sums of ranks 3 and 4Split primes and the Elekes-R\'onyai problemTrace spectra of simplices in large setsSphere Packings in Higher Dimension (after Boaz Klartag)