プレプリどんどん: math.CA

arXiv math.CAの新着論文7本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-05-14/

1. Smirnov Decomposition of a Horizontal Vector Charge in the Heisenberg Group
2. Complex methods in the asymptotics of M\"obius energy integrals of helix curves
3. Variable Muckenhoupt $A_\infty$ Weights
4. Triebel-Lizorkin spaces and expansive matrices
5. Galerkin Approximation of the Fractional Sobolev Constant
6. Large values of shifted mixed character sums
7. Superharmonically Weighted Dirichlet Spaces

arXiv math.CAの新着論文1本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-05-13/

1. $\ell^{p}$ improving estimates for multilinear forms motivated by distance graphs

arXiv math.CAの新着論文10本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-05-12/

1. Isoperimetric Inequality for degenerate elliptic operators of Grushin type
2. Strichartz estimates for orthonormal systems on compact manifolds: the non-sharp region
3. Sharpness of convolution bounds for measures
4. Multilinear multiplier theorems and their applications to the Jacobian and the Hessian determinant
5. On the existence of optimizers for nonlinear time-frequency concentration problems: the Born--Jordan distribution
6. On the rational solutions of generalized Abel equations
7. Local Nonconvexity Indices for \(C^{1,1}\) Functions via Generalized Hessians
8. Recent progress of Littlewood-paley Theory with chirp function
9. Concentration effects and $\Gamma$-limit for the elastica functional for open and closed curves
10. The norm of the backward shift on $H^4$ is $\sqrt[4]{\varphi}$

arXiv math.CAの新着論文5本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-05-11/

1. On ratios of theta functions
2. Dyadic Martingale Transforms and Weighted Walsh-Carleson Operators
3. Hermite expansions of functions from the weighted Hardy class
4. Orthogonal Polynomials, a Szeg\H{o}--Verblunsky Theorem and Baxter's Theorem on the Quaternionic Sphere
5. Brownian-time Change of measure

arXiv math.CAの新着論文6本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-05-08/

1. Proof of the Holevo-Utkin conjecture on sharp $\ell_p$ norms for zero-sum vectors
2. Finitude of Limit Cycles of Linear Piecewise ODEs in the Cylinder
3. Fourier coefficients of continuous functions with sparse spectrum
4. Convexity of the embedding parameter sets of some analytic function spaces
5. Accessory Parameter of Confluent Heun Equations, Voros Periods and classical irregular conformal blocks
6. A multidimensional Szemer\'{e}di theorem in integers

arXiv math.CAの新着論文12本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-05-07/

1. Radial Integration in Continuous Dimension: A Mellin-Gamma Classification of Euclidean Ball Volume
2. On maximal functions associated with planar vector fields
3. Energy-minimizing measures supported near fractal 1-sets
4. de la Vall\'ee Poussin Means of Walsh-Fourier Expansions
5. Almost Everywhere Convergence of Arithmetic Means of Walsh--Fourier Partial Sums Along Subsequences
6. On Characterizations of (Almost) Strictly Convex Functions
7. On Tur\'{a}n's inequality: new general criteria, nonnegative representations and the class of generalized Chebyshev polynomials
8. Almost-Orthogonality in Lp Spaces: A Case Study with Grok
9. Smooth linearization of nonautonomous dynamics under general dichotomic behaviour
10. Non-uniqueness for a differential equation and a proof by ChatGPT
11. Theta functions and transformations of bilateral basic hypergeometric series
12. Grokability in five inequalities

arXiv math.CAの新着論文5本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-05-06/

1. Shifted L\'evy's Dragon Curve and Directed Graph
2. A novel asymptotic technique for integrals involving the Hankel contour and the Bleistein asymptotic formula
3. A discrete Hardy uncertainty principle
4. Exact ReLU realization of tensor-product refinement iterates
5. Two Regularized Determinants of Laplacian through Resurgence theory

arXiv math.CAの新着論文9本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-05-05/

1. Special Solutions of $q$-Heun Equation by $q$-Integral Transformations
2. Exact Loop Controllers for ReLU Realization of Homogeneous Curve Refinements
3. The strong version of nonlinear Carleson conjecture fails
4. Inhomogeneous Picard-Fuchs equations of Abelian integrals in piecewise smooth near-Hamiltonian systems
5. Weighted decoupling with lower-dimensional frequency localization
6. Time-periodic carrying simplex for a competitive system of Carath\'eodory ODEs
7. How Thick Is the Sierpi\'nski Triangle?
8. A bibasic double sum extension of a $q$-binomial theorem arising out of subspace enumeration
9. Self-similarity of unions of self-similar sets and their translations

arXiv math.CAの新着論文2本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-05-04/

1. A Unified Regularity Condition for Optimal Control: Bridging LICQ, MFCQ, and Subdifferentials
2. Existence and uniqueness of weak solutions to quasilinear PDEs with critical data

arXiv math.CAの新着論文3本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-05-01/

1. Propagation of nonlinear pulses near diffractive points of any order
2. A divisor function of Wigert and higher degree forms
3. G\r{a}rding Polynomials