プレプリどんどん: math.NT

arXiv math. NTの新着論文21本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-25/ Anticyclotomic Iwasawa main conjectures for modular forms Density of Visible Lattice Points on Hyperplanes and their Intersections Admissible pairs and $p$-adic Hodge structures III: Variation and unlikely intersection On the series expansion of k-free Dirichlet series and i...

arXiv math. NTの新着論文36本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-24/ Relating Mahler measures and Dirichlet $L$-values: new evidence for Chinburg's conjectures Upper and lower estimates for integer complexity A refined non-vanishing of the $p$-adic logarithm of a rational point on an abelian variety Graham conjecture on small sets in abelian...

arXiv math. NT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-nt/episodes/2026-03-23/ Automorphisms of finite fields from isogeny cycles Families of Congruences for Partitions with $k$-colored odd parts Parry order of Parry numbers Torsion Packet Envelope and Rational Points of Algebraic Curves Asymptotic Formula for $(t+1)$-Regular Partitions Irreducibility...

arXiv math. NTの新着論文15本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-20/ Bounded Representations by $x^2+y^2-z^2$ One one type of ud-preserving mapping Why Eight Percent of Benford Sequences Never Converge Norm-trace and Kloosterman sums in finite semi-simple algebras Close fields, affine Springer fibers and fundamental lemmas The triality of the...

arXiv math. NT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-nt/episodes/2026-03-19/ Sieving with square conditions and applications to Hilbert cubes in arithmetic sets Counting subalgebras of $\mathfrak{a}$ Density results for $r$-gaps between zeros of the Riemann zeta-function Construction of a $p$-extension of number fields whose unit group has prescribed...

arXiv math. NTの新着論文15本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-18/ Mean field equation and Green's function on the Tate curve On the central derivatives of l-functions and modularity of heenger cycles Galois groups of reciprocal polynomials II: Twisted reciprocal polynomials Explicit and Effective Estimates for the error term in the General...

arXiv math. NTの新着論文29本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-17/ Bogomolov property for modular Galois representations with nontrivial nebentypus Dirichlet Series and Asymptotics for Generalized Legendre Factorials Murmurations of Elliptic Curves over Function Fields Multiple standard twists of $L$-functions A note on the invariants of th...

arXiv math. NT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-nt/episodes/2026-03-16/ Periodic Points of Power Maps in Finite Matrix Groups and Algebras Higher Fitting ideals and the structure of anticyclotomic Shafarevich-Tate groups Proof of a Conjecture on Overcolored Partition Restricted by Parity of the Parts A geometric proof of Lagrange's theorem for c...

arXiv math. NTの新着論文15本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-13/ On the 3-adic Valuation of a Cubic Binomial Sum The M \"obius Disjointness Conjecture on infinite-dimensional torus $p$-adic Principal Component Analysis On the distribution of shapes of totally real multiquadratic number fields Introduction to Dieudonn\'e modules and supers...

arXiv math. NT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-nt/episodes/2026-03-12/ On the discrete convolution of the Liouville and M\"obius functions On the Existence of Integers with at Most 3 Prime Factors Between Every Pair of Consecutive Squares Algebra Structures of Multiple Eisenstein Series in Positive Characteristic Transcendence of $p$-adic contin...

arXiv math. NTの新着論文15本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-11/ Divisor Structure of p-1 in Mersenne Prime Exponents Iwasawa Invariants of Even $K$-groups of Rings of Integers in the $\mathbb{Z}_2$-extension over Real Quadratic Number Fields Frobenius structure on rigid connections and arithmetic applications On the Green-Tao theorem for...

arXiv math. NTの新着論文28本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-10/ Magic partition functions: Sign smoothing convolutions with Dirichlet invertible arithmetic functions Quadratic Congruences for half-integral weight cusp forms with the eta multiplier Remarks on polynomial count varieties Resolution of the Skolem Problem for $k$-Generalized...

arXiv math. NTの新着論文15本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-09/ The fourth known primitive solution to $a^5 + b^5 + c^5 + d^5 = e^5$ Waring-Goldbach problems for one square and higher powers Joint Linnik problems On an elementary method for solving $Ax^4-By^2=1$ On indefinite integral ternary quadratic forms Cohen-Macaulayness of Local M...

arXiv math. NT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-nt/episodes/2026-03-06/ Restricted set addition in finite abelian groups BSD Invariants and Murmurations of Elliptic Curves The $p$-Dissection of a Product of Quintuple Products Transformations and functions that preserve the asymptotic mean of digits in the ternary representation of a number Frequ...

arXiv math. NTの新着論文17本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-05/ On Permutation Trinomials and Complete Permutation Polynomials via Fiber Criteria over Finite Fields Asymptotic Mean of Digits of the $Q_s$--representation of the Fractional Part of a Real Number and Related Problems of Fractal Geometry and Fractal Analysis Linear fractals o...

arXiv math. NTの新着論文14本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-04/ Periodic vanishings of the Legendre-17 signed partition numbers Distribution of square-free palindromes A log prismatic-crystalline comparison theorem On signs of coefficients of L-functions On the Frobenius number for three variables Joint distribution of leftmost digits in...

arXiv math. NTの新着論文37本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-03/ The minimal width of universal $p$-adic ReLU neural networks Zolotarev's Magical Proof of Quadratic Reciprocity Unconditional Density Bounds for Quadratic Norm-Form Energies via Lorentzian Spectral Weights On log crystalline higher direct image The Bombieri--van der Poorten...

arXiv math. NTの新着論文16本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-02/ Completeness of exponentially increasing sequences Meta-automatic Sequences Duffin--Schaeffer examples, real residue systems, and Bohr-set primes Arithmetic properties of arguments of algebraic numbers on the unit circle Counting number fields using multiple Dirichlet series...

arXiv math. NT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-nt/episodes/2026-02-27/ Simultaneous Approximation for Lattice-Based Cryptography Computing Invariants of Artin-Schreier Curves Analogue of the theta group $\Gamma_{\theta}$ Weakening the Legendre Conjecture Multiplicative Diophantine Approximation on Planar Lines with Restricted Denominators An Ex...

arXiv math. NT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-nt/episodes/2026-02-26/ A statistical model for points expanding in higher dimensions while being tied to bijective involutions Prime-Weighted Interference Patterns Inspired by the Euler Product Ours go to 211: Euler pseudoprimes to 47 prime bases (from Carmichael numbers) Quartic del Pezzo surface...

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/2026-02-25/ Modularity of a certain "rank-2 attractor" Calabi-Yau threefold Algebraic Characterization of Angle Multisections over Rings On Wagstaff primes in the $k$-Lucas number sequence Single conjugacy classes of isometries in orthogonal groups over local fields Solutions of polynom...

arXiv math. NTの新着論文27本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-02-24/ Solving equations of signature $(p,p,2)$ with coefficients over number fields Gain Bounds for Diagonal Superelliptic Equations under the Strong ABC Conjecture Proofs of Lupu's conjectures for multiple zeta values and multiple $t$-values Moduli of $G$-bundles on rigid gerbes...

arXiv math. NT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-nt/episodes/2026-02-23/ The Golden Sieve and its connections to Hiccup sequences and Fraenkel games Fermat's Last Theorem for Selmer sections Product of powers of distinct primes as sums of Fibonacci numbers A function field analogue of Ligozat's theorem for Drinfeld modular units Modules of Jacobi...

arXiv math. NT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-nt/episodes/2026-02-20/ Algebraic representatives of the ratios $\zeta(2n+1)/\pi^{2n}$ and $\beta(2n)/\pi^{2n-1}$ Complex Moments, Gamma and Riemann Zeta Functions unified by the Parabolic Mellin Transform Non-hyperelliptic modular curves of genus 3 On the local-global principle for twists of abelia...

arXiv math. NTの新着論文11本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-02-19/ On the Lagarias Inequality and Superabundant Numbers On the Jacobian of $\overline{{{\rm Spec}\,\mathbb Z}}$ On the Mean Value of a Weighted Composite Arithmetic Function Binomial sums and properties of the Bernoulli transform Quantum modularity of signatures in TQFT and gen...