数体と多項式とディリクレ級数とモジュラ曲線 - 2026/2/24の論文27本

arXiv math.NTの新着論文27本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-02-24/Solving equations of signature $(p,p,2)$ with coefficients over number fieldsGain Bounds for Diagonal Superelliptic Equations under the Strong ABC ConjectureProofs of Lupu's conjectures for multiple zeta values and multiple $t$-valuesModuli of $G$-bundles on rigid gerbes over affine curvesCongruences for traces of singular moduli and Hurwitz - Kronecker class numbersArithmetic BF theory and the Cassels-Tate pairing$L^4$-norms of automorphic forms in the depth aspectA cohomological invariant for algebras of degree 8 and exponent 2 in characteristic 2Arithmetic Aspects of Number Fields Generated by Polynomial FamiliesOn the analytic continuation of Dirichlet series with missing digitsStacky Batyrev-Manin conjecture and modular curvesA new proof of Carlitz-Wan conjecture on exceptional polynomialsModular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groupsNontrivial torsion in the Tate--Shafarevich group via visibility and twistsArithmetic properties of DSOME functionProperties of the Function \(F_{x,t}^{(k)}(n)\) with Applications to the Erd\H{o}s--Straus, Sierpi\'nski Conjectures and Their GeneralizationsQuantitative results on the $k$-dimensional Duffin-Schaeffer conjectureLarge fluctuations of random multiplicative functionsSubconvexity Problem on $\operatorname{GL}_3$ over number fields: the twist aspectOn the Ramanujan Vector Field modulo $p$The number of non-isomorphic arithmetic expressions that can be constructed using +,-,x and /Power partitions and Khinchin familiesCorrigendum and addendum to "Fixed-point-free elements of iterated monodromy groups" [Trans. of the American Mathematical Society Vol. 367, No. 3 (2015), 2023-2049]Structure of sets with small product sets in torsion-free groups, cyclic groups of prime orders and abelian groupsExtreme $L_p$ discrepancy, numerical integration and the curse of dimensionalityMonodromy rank and the semisimple Mumford-Tate conjecture for hyper-K\"ahler varietiesHilbert surfaces, modular forms, and Siegel-Veech constants