ピフォーミュラとアペリ核とクラウセン函手 - 2026/4/14の論文22本

arXiv math.NTの新着論文22本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-14/Order-3 pi-formulas, Apery-like kernels, and Clausen functoriality for Conservative Matrix FieldsA comment on the equation $n!!=a_1!!\cdots a_t!!$A formal proof of the Ramanujan--Nagell theorem in Lean 4Low moments of random multiplicative functions twisted by Fourier coefficients of modular formsThe Number of Solutions to $ax+by+cz=n$ for Fibonacci and Lucas tripletsA note on small theta liftRemarks on Brauer-Manin obstruction for Weil restrictionsOn the Chevalley-Bass number of a fieldConjectural decomposition of symmetric powers of automorphic representations for $\mathrm{GL}(n)$Beatty solutions of almost Golomb equationsRegular ternary sums of generalized polygonal numbersLocal square mean in the hyperbolic circle problem and sums of Sali\'e sumsA Fixed-Prime Criterion for Reciprocals in Missing-Digit SetsBranched covers of $\mathbb{P}^1$ and divisibility in class groupThe solvability of the inverse volcano problem over non-prime finite fieldsAlmost Free Non-Archimedean Banach Spaces and Relation to Large CardinalsCharacter values and conductors of low-rank groups of Lie typeCusp Form Dimensions, Lattice Uniqueness, and LP Sharpness for Sphere Packing in Dimensions 8 and 24Geometrization of the Schr\"odinger Model for the Minimal Representation of an Even Orthogonal Group: The de Rham SettingAlgorithms on the Pyasetskii involution on local Langlands parameters of classical groupsPro-$p$ Iwahori-Hecke modules in semisimple rank one and singularity categoriesAn analogue of irreducible cuspidal representations for the group $PGL(2)$ over a two-dimensional local field