ディオファントス方程式とガロア群 - 2026/4/22の論文14本

arXiv math.NTの新着論文14本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-22/Optimal Shifting Method in Dirichlet's divisor problemCharacterizing monogenic trinomials $\boldsymbol{x^{12}+ax^6+b}$ according to their Galois groupsAlgebraic numbers and Fourier analysis: Salem's third problemSums of Hecke eigenvalues along polynomial sequences and base change for $\text{GL}(2)$Classification of Rational Functions of Degree Three over Finite FieldsHandling some Diophantine equation via Euclidean algorithm and its application to purely exponential equationsBeyond the square-root barrier: cubic forms of Perazzo typeQuartic Rational Diophantine Quadruples and the Euler SurfaceDivision algorithms for norm-Euclidean imaginary quadratic fieldsRepresentations of binary quadratic forms by quaternary quadratic formsPseudometrics and preorders on sets of integer sequences induced by arithmetic functions functionsExplicit counting of ideals in number fields of arbitrary degreeGlobal Product Intersection Sets in SemigroupsIndependent Sets and Continued Fractions