L関数と指数和とガロア環 - 2026/10/16の論文39本

arXiv math.NTの新着論文39本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-16/ 86 unknowns for Hilbert's tenth problem over the rationals Mixed moment and joint non-vanishing of $\mathrm{GL}(3)\times\mathrm{GL}(1)$ and $\mathrm{GL}(1)$ $L$-functions Ehrhart Polynomials of Triangles in $\mathbb{R}^3$ On the Diophantine equation $X^2+p^m=p_1^{n_1}p_2^{n_2}$ CM Elliptic Analogue of the Coleman--Ihara Formula A simpler proof that there are no Landau--Siegel zeros Optimal Reduced Representatives of Quadratic APN Permutations in Odd Dimension Explicit reduced APN permutations: ramification and optimal Galois-ring lifts Non-vanishing mod $p$ of derived Hecke algebras of multiplicative groups over number fields, II Modularity criteria for multiple Eisenstein series On the dimension conjecture for global Galois deformation rings in characteristic two Smoothness of Shortest Isogenies to Frobenius Conjugates Imaginary quadratic fields of class number at most 2000 Frey-Mazur theorem for semistable elliptic curves over function fields Local Tate duality for syntomic cohomology in positive characteristic A prime plus a square: A conditional 11/20 upper bound A New Bound for the Gauss Circle Problem A number field extension of Ramanujan's identity and its integral representation via the generalized Riemann $\Xi$-function Twisted Artin-Schreier Theory I: $(C_p \rtimes C_{p-1})$-extensions of local function fields Isaac's Condition (TU) is false A variation on local trilinear form An introduction to algebraic groups On the Sampling of Certain Dirichlet and Prime Sums at Gram Points and their Viscosity Classification of vanishing fusion rings of rank four Ekedahl-Oort strata with a superspecial factor in unitary Shimura varieties Logarithmic exponential sums with multiplicative coefficients The discrete second moment of the Riemann zeta-function along powers of Gram points Variation of Shafarevich-Tate groups in Hida families Automorphic Dirac Operators and an Analogue of the Quantum Harmonic Oscillator on $\Gamma \backslash \mathfrak{H}$ On exponential sums with multiplicative coefficients A counterexample to a conjecture of Plotnick on knot exteriors </l