arXiv math.CAの新着論文13本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-04-07/

1. The Kakeya conjecture, after Wang and Zahl
2. Extension theorems for logarithmic Schr\"odinger and discrete Laplacian operators
3. Separating zeros of polynomials using an added interlacing point
4. A Minimalist Approach to Rolling Wheels
5. Bernstein inequality on parabolic domains
6. From hyperbolic to complex Euler integrals
7. On a $_2F_1\big(\frac{1}{4}\big)$-identity due to Gosper
8. Hadamard-Type Asymptotics for Products of Best Rational Approximation Errors
9. Determinantally Equivalent Functions Beyond the Nowhere-Zero Case
10. Stokes structure of wild difference modules
11. On special values of Koshliakov zeta functions
12. Bounding the Gap Between Zeros of the Variable- Parameter Confluent Hypergeometric Function
13. An improved bound for sumsets of thick compact sets via the Shapley--Folkman theorem

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/2026-04-06/

1. A Bilinear Kakeya Inequality in the Heisenberg Group
2. Real-Variable Theory of Hardy--Lorentz Spaces on Quasi-Ultrametric Spaces of Homogeneous Type with Reverse-Doubling Property
3. A note on the Erd\"os minimal area problem

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/2026-04-03/

1. Extremal graph theory and point configurations in Ahlfors-David regular sets
2. Falconer lattice sets and the Erdos similarity problem
3. A Determinantal Approach to a Sharp $\ell^1-\ell^\infty-\ell^2$ Norm Inequality
4. Systems with discrete singular $\phi$-Laplacian and maximal monotone boundary conditions
5. A Fenchel Theorem for the Gauss maps and uniqueness of minimizers of nonlocal curvature energies
6. Ces\`aro summability of H\"older functions and Talbot effect on rank one Riemannian symmetric spaces of compact type

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/2026-04-02/

1. A twisted Fefferman--Stein type inequality and its applications
2. Characterizations of fractional operators via integral transforms

arXiv math.CAの新着論文8本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-04-01/

1. Meta Algebras and Special Functions: the Racah Case
2. Bourgain's projection theorem over normed division algebras
3. Uniform optimal-order Wasserstein quantisation
4. On maximal families of independent sets with respect to asymptotic density
5. Extreme points in quotients of Hardy spaces
6. Endogenous Cycles in a Keen--Goodwin Model with Minsky Debt
7. $\chi^2$-cut-off phenomenon for Galerkin projections of Fokker-Planck equations with monomial potentials
8. Thomas-Fermi equation revisited: A variation on a theme by Majorana

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/2026-03-31/

1. On parameter-dependent inhomogeneous boundary-value problems in Sobolev spaces
2. Buffon Discrepancy and the Steinhaus Longimeter
3. Hypercontractivity of Poisson Semigroups with Orthogonal Polynomial Eigenfunctions
4. Stability of periodic waves in the model with intensity--dependent dispersion
5. Geometry of the Ising persistence problem and the universal Bonnet-Manin Painlev\'e VI distribution

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/2026-03-30/

1. Spectral synthesis with the complexity parameter
2. Twisted Multiparameter singular integrals -- real variable methods and applications, I
3. Harald Bohr's splitting theorem
4. Paraproducts on local dyadic fractional Sobolev spaces
5. An integrality phenomenon
6. The Schwartz space for the $ (k, a) $-generalized Fourier transform and the minimal representation of the conformal group

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/2026-03-27/

1. A further q-analogue of Gosper's strange series
2. Bifurcation of limit cycles in a class of piecewise smooth generalized Abel equations with two asymmetric zones
3. Characterisation of Convergence, Boundedness and Unboundedness in Solutions of Second Order Linear Differential Equations
4. Characterisation of Stability and Decay Rates in a Weakly Damped Second Order Linear Differential Equation
5. Extending Theorems of Boros and Menzer
6. A Bloch type space associated with {\lambda}-analytic functions
7. Real-variable theory of matrix-weighted multi-parameter Besov--Triebel--Lizorkin-type spaces
8. Real spectral shift functions for pairs of contractions and pairs of dissipative operators
9. Kakeya Conjecture and Conditional Kolmogorov Complexity
10. Fourier dimension of Mandelbrot Cascades on planar curves

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/2026-03-26/

1. Quantitative Bounds and Compactness for the Commutators of Area Integrals Associated with Self-adjoint Operators on Weighted $L^p$ and Morrey Spaces
2. H\"older exponents and fractal structure of level sets of self-affine functions associated with the $Q_s$-representation of numbers
3. Sharp estimates for eigenvalues of localization operators with applications to area laws

arXiv math.CAの新着論文4本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-03-25/

1. Maximal growth of the Stein-Wainger oscillatory integral
2. Singularity for graph-directed conjugate equations indexed by a two-vertex digraph
3. Anti-concentration of polynomials: $L^{p}$ balls and symmetric measures
4. Eigenvalue stability of Hermitian and normal matrices