p-adicと楕円曲線とバタマンホーン - 2026/4/3の論文18本

arXiv math.NTの新着論文18本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-03/The relativistic $p$-adic sunscreen conjectureOn Series Involving Cubed Catalan NumbersNon-vanishing for quartic Hecke $L$-functions and ranks of elliptic curvesOn algebraic independence of three p-adic continued fractionsOn finite analogues of Dobi\'{n}ski's formula and of Euler's constant via Gregory polynomialsOverconstrained character sums over finite abelian groups and decompositions of generalized bent, plateaued and landscape functionsTowards the $p$-adic Hodge parameters in semistable representations of $\mathrm{GL}_n(\mathrm{Q}_p)$Circle coverings driven by arithmetic sequences: a percolation approach to Diophantine approximation and fractal intersectionsA digit-sum formula for B\"ottcher coordinatesThe Circle Method for Quadrics over Function FieldsCounting Frobenius extensions over local function fieldsOn congruence conjectures of Andrews and BachraouiWorse than square-root cancellation in Bateman-Horn's conjectureLarge values of exponential sums with multiplicative coefficientsGalois group of exceptional curves on the generic del Pezzo surfaceCuspidal $\ell$-modular representations of ${\rm GL}_n(F)$ distinguished by a Galois involution, IIOn the inverse Galois problem for del Pezzo surfaces of degree 1Intersections and the B\'ezout Range: Abelian Varieties