プレプリどんどん: math.NT

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/2026-08-05/ A Classification of Multiply Monogenic Quartic Orders Counting in Vieta graphs over $\mathbb{F}_p$ On pairs of primes with small order reciprocity Admissible Pairs: A Variation to Pollock Conjectures Mellin Transform Formulas for Anderson Modules and Hints of Modularity Erd\...

arXiv math. NTの新着論文54本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-04/ Random Multiplicative Functions with Periodic Weights Ljunggren--Jacobsthal and Bailey-Type Congruences for Rectangular Gaussian Binomial Coefficients Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields Positive rational series fo...

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/2026-08-03/ Multiplicative dependence in the sumset of multiplicative groups The Fine-Structure Hierarchy of Prime Biases and the Universal Dominance of $-1 \pmod N$ Small points in radical extensions of number fields Generalized Wieferich primes and monogenic trinomials An Introduction...

arXiv math. NTの新着論文23本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-07-31/ The exceptional set of the Goldbach problem Multivariate counting of wild abelian extensions On some Diophantine and Ergodic properties of the Schneider map over function fields On the greatest common divisor of $n, \lfloor \alpha_1n\rfloor, \lfloor \alpha_2n^2\rfloor, ...,...

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/2026-07-30/ On purity of Anderson t-modules Inclusions between p-bounded crystalline loci in dimension two Bhargava Gamma functions for determinant-admissible sets On the transcendence of twisted special $L$-values at non-negative integers in characteristic $p$ Improved Bounds for Disti...

arXiv math. NTの新着論文23本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-07-29/ Extremal Chowla sets and their linear analogues: A human-AI mathematical investigation using Co-Scientist Transcendence of multivariate Mahler functions and algebraic relations between their values Twisted automorphic descent to odd GSpin groups and applications On certain $...

arXiv math. NTの新着論文31本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-07-28/ Jittered sampling and probability measures Tadpole Nahm sum as a Wronskian Unshared zeros of Dirichlet $L$-functions On the Frobenius Number of Quotients of Numerical Semigroups Finite length for unramified $\mathrm{GL}_2$: beyond multiplicity one, non-semisimple case On the...

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/2026-07-27/ Explicit bounds for Buchstab's function A More Efficient Algorithm for Finding the Number of Permutations of $\mathbb{ZZ}/n\mathbb{ZZ}$ with Distinct Partial Sums Factorial Calculi and the Canonical Stirling Defect of the Prime Bhargava Factorial Densities of arithmetic Heck...

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/2026-07-24/ A problem on sumset sizes of sets of lattice points Infinite Sidon-type sets for zero-sum linear forms Inverses of Fibonacci and Lucas Numbers via Rational Indices Zeros of the Dirichlet series of even zeta values On a Diophantine Equation with Jacobsthal and Fibonacci Numbe...

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/2026-07-23/ Integral magneticity of the level-two K3 packet: CM theta lifts and a 2-isogeny trace contraction Additive and multiplicative densities, prime valuations and symbolic models Multiplicative dependence modulo subsets The Pila-Zannier strategy for Drinfeld modules and Drinfeld...

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/2026-07-22/ On a certain arithmetic function defined via Bernoulli numbers Binary quadratic forms and elliptic curves with analytic rank one Divisor moments of polynomials in Fourier coefficients of modular forms On Diophantine $m$-tuples related to primitive elements of finite fields O...

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/2026-07-21/ Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions A Complete classification of the rank of a certain family of elliptic curves Non-ordinary primes and congruences for weakly holomorphic modular forms of level 2 Density of Unicritical Polynomials over Local Fiel...

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/2026-07-20/ A counterexample to a conjecture of Thakur on Carlitz-Wieferich primes The Second Term for Strongly 2-Primitive Sets A weighted entropy approach for the quadratic inverse large sieve conjecture Finiteness of the Tate-Shafarevich group over function fields for groups of multi...

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/2026-07-17/ Beyond the Riemann Hypothesis bounds: A pair-correlation approach to the least prime in arithmetic progression and the smallest quadratic non-residue The Spine: A Supersingular Highway The First Moment of Dirichlet L-functions over Generators of the Character Group Minimal d...

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/2026-07-16/ A minimal modularity lifting theorem for Siegel modular forms Beyond Mock Modularity: Elliptic Corrections for Higher Dyson Ranks On the Second Moment of $ L (1/2, \mathrm{As}(f) \times \phi)$ Study on Morgan-Voyce type polynomials with Euler-Seidel algorithm On the Second M...

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/2026-07-15/ A few remarks on the Baez-Duarte Criterion Solomon zeta functions over arithmetic orders Curious identities involving Legendre polynomials and Ap\'ery-like numbers Odd Parts of Derivative Period Polynomials and a Logarithmic Transition Scale Local statistics and average rank...

arXiv math. NTの新着論文46本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-07-14/ A counterexample to a subadditivity conjecture of Cohen for Sophie Germain cyclic numbers Affine monodromy and exact value distributions over finite fields Hyperbolic Arcsine Kernels, Finite Fourier Filters, and Quartic Central Binomial Harmonic Sums Integer Sequences which...

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/2026-07-13/ Joint level-weight murmurations for holomorphic newforms Moments of the number of representations as sums of two prime squares Remarks on a theorem of Silverman The complete cubic Walsh spectrum of a permutation-inverse Boolean family First Moment of derivatives of $L$-funct...

arXiv math. NTの新着論文19本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-07-10/ Infinite families of Diophantine quadruples in $\mathbb{Z}[\sqrt{-2}]$ in the remaining exceptional congruence classes Non-orthogonality of the cubic and quartic large sieves via Rankin-Selberg Elliptic curves, Fourier ratio, and sampling complexity On an inhomogeneous unifo...

arXiv math. NTの新着論文26本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-07-09/ A problem of D. H. Lehmer in short intervals. II Continued Fractions of Polynomial Type: Theory and Encyclopedic Dictionary Four squares from three real polynomials Normal numbers in sparse Cantor sets Schwarz maps for modular curves $p$-adic Hahn series with sparse support...

arXiv math. NTの新着論文19本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-07-08/ A weaker but simpler sieve inequality Integer values of $\tan(\arctan 1+\arctan 2+\cdots+\arctan n)$ are rare An Explicit Expression for MZVs in Terms of Symmetric MZVs Large Sets of Integers with No Harmonic Triples Correlations of zeros of a family of $L$-functions in func...

arXiv math. NTの新着論文54本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-07-07/ Recovering Kodaira types from $\ell$-torsion on elliptic curves $(a,a)$-Carmichael numbers and greatest common divisors of $p-a$ $p$-adic rigidity for $\mathrm{GSp}_4$ A finite Guinand-Weil dictionary and archimedean tail order for the truncated Weil quadratic form A Mackey...

arXiv math. NTの新着論文20本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-07-03/ Utilizing Smoothing Techniques to Bound $|\zeta(1+it)|$ Necessary and sufficient conditions on the order of a finite field $\mathbb{F}_q$ for the easy identification of primitive polynomials of degree 2 Formalized $q$-series: The Rogers-Ramanujan Identities and Beyond A Pfaf...

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/2026-07-02/ Finiteness for \'{E}tale Fundamental Groups of N\'{e}ron Models Critical Zeros and Unconditional Mean Value Theorems for twisted $\hbox{PGL}(2)$ and $\hbox{PGL}(3)$ $\mathrm{L}$-functions Functional Equations Characterize Dirichlet Characters Character sums over smooth numbe...

arXiv math. NTの新着論文19本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-07-01/ Power-integral matrices over number fields: the Drazin inverse, pseudo-determinant, and numerical semigroups On the exponential Diophantine equation $(a^n+1)(b^n+1)=x^2$ Several classes of permutation pentanomials Some new congruences and identities for $SOME(n)$, $DSOME(n)$...