プレプリどんどん: math.NT

arXiv math. NTの新着論文33本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-10/ A proof of Hare's $\epsilon$ unfair conjecture The density of long runs of non-$r$-free integers Spectral Algebras of Abelian Cayley Graphs Triple intersections for algebraic curves on the real torus Cyclotomy of symmetric polynomials Effective Euler Sums The addition on tot...

arXiv math. NTの新着論文81本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-09/ Lower bounds for some value sets over finite fields: incidence geometry and Bourgain's group expansion theorem On the Diophantine Equations Arising from Three-Term $b$-Concatenations in Pell-Type Sequences Primes with Restricted-Digit Differences On the classification of sma...

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/2026-09-07/ Multiple zeta values in $\lambda$-rings SIC dimension towers via cyclotomic polynomials A counterexample to the Chung-Graham-Spiro gap-set conjecture Hilbert's Irreducibility for $\mathbb{G}_m$ Degeneration of monodromy in the theory of Eisenstein congruences for classical g...

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/2026-09-04/ An upper bound for an exceptional automorphism group Perfect numbers, Wieferich primes and the solutions of $\binom{2n}{n}\equiv 2^n \bmod n$ Poissonian pair correlations for the three-particle Sutherland model Skolem-Mahler-Lech in rings of positive characteristic: a shorte...

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/2026-09-03/ A lower bound for the Call-Silverman height in cyclotomic extensions On the cuspidal cohomology of Iwahori congruence subgroups of $\mathrm{SL}(3, \mathbb{Z})$ Ranks and integer points on elliptic curves induced by Fibonacci triples On everywhere locally soluble varieties in...

arXiv math. NTの新着論文32本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-02/ Reducing Every Set of 36 Consecutive Integers to Zero by Differences of Squares Colombo's Determinant Problem The shortest harmonic sums with decreasing denominator From Common-Slot Chains to Heisenberg Central Products over Global Fields Smooth Diffeomorphisms and Mahler's...

arXiv math. NTの新着論文48本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-01/ On weighted forms in many variables Stable Solutions to Generalizations of Fibonacci Relations of Higher Order $q$-Analogues of some supercongruences related to generalized Van Hamme-type supercongruences Counterexamples to O'Neil's Period-Index Problem on Elliptic Curves Va...

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/2026-08-31/ The Sufficient Set of Congruences of Binomial Coefficients for Primality Finite and Symmetric Multiple $T$-Values Diophantine m-tuples of Triangular Numbers Trilinear Kloosterman fractions II: subdyadic intervals and nearly balanced convolutions An Erd\H{o}s-Wintner theorem...

arXiv math. NTの新着論文30本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-28/ Closed geodesics in homology classes modulo sublattices Discrete dynamics of Eratosthenes sieve $k$-Lucas Annulus for Polynomial Zeros A Neighbouring-Denominator Case of the Erd\H{o}s--Mahler Conjecture Period Relations for Theta Products and Elliptic Integral Moments The k-...

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/2026-08-27/ On the sum of least prime factors in short intervals Transcendence of Tonelli--Shanks Power Modulo Infinitely Large Primes Jacob's ladders, new classes of sum variants of almost linear formula and corresponding $\zeta$-functionals and $\zeta$-equivalents of the Fermat-Wiles...

arXiv math. NTの新着論文24本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-26/ Collapsing Fifty Dilogarithm Arguments to Five Terms over $\mathbb{Q}\bigl(u,\sqrt{4-3u^{2}}\bigr)$ Poincar\'e duality in Hida families Fourier Spectral Reciprocity and Canonical Hecke $L$-Functions Geometric Realization of Finite Residue Casimirs and Weil Operators via Szeg...

arXiv math. NTの新着論文45本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-25/ A non-abelian large sieve and Artin's primitive root conjecture Rational Points and Brownian Motion Dense ascending waves: A resolution of the Alon-Spencer conjecture How many points has an affine algebraic set in residue classes modulo n ? Positive Logarithmic Hausdorff Mea...

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/2026-08-24/ A note on least primitive roots Polylogarithmic Chabauty--Kim loci over number fields Maximal and minimal curves of the form $y^3=x^{(q^2+1)/2}+x$ Euler characteristic of the Selmer group attached to an Artin representation Complete Resolution Of A Family Of Twisted Thue Equ...

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/2026-08-21/ Totally positive field extensions and the pythagorean index An Algebraic Approach to the Fundamental Theorem of Algebra Many Representations as Sums of Three Prime Cubes ${}_5F_4$ evaluations and a family of $\pi^2+\log^2$ identities On the Finiteness of Isolated $j$-invaria...

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/2026-08-20/ On sums of two primes and six Fibonacci numbers Properties of Kloosterman sums for long Weyl element on GL(n) Rational Solids with Equal Surface Area and Volume Sharp Transitions for Localized Solutions to a Diophantine Inequality Mean Value Estimates for a Real-Exponent Ana...

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/2026-08-19/ Prime-Exponent Transition Geometry and Divisor Barriers Between Consecutive Highly Composite Numbers Algebraic Lattices Arising from Congruence Submodules in Subfields of $p$-th Cyclotomic Fields Mild p-Class Tower Groups of Imaginary Quadratic Fields On Buzzard's Theoren Sh...

arXiv math. NTの新着論文35本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-18/ A descent-set obstruction for the Casas-Alvero conjecture Exponential sums over primes Reciprocity for The Short Twisted Second Moment of The Riemann Zeta Function Bounding The Number of Zeros Near the Central Point in Families of Cuspidal Newforms Transcendence of continued...

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/2026-08-17/ On the Existence of Hyperelliptic Curves over $\mathbb{Q}(T)$ with Certain Jacobian Ranks More than two thirds of the zeta zeros are simple and on the critical line Some Dwork-type $q$-supercongruences from a $_6\phi_5$ summation formula $p$-numerical semigroup of the sequen...

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/2026-08-14/ On Waring--Goldbach problem with mixed powers Generalized Addition Theorems for the Jacobi Elliptic Functions A conditional arithmetic obstruction to the prime numbers as a spectrum of a probability measure Finding all cospectral mates over a number field Special Values of S...

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/2026-08-13/ The motivic Selmer scheme of the thrice-punctured line Upper bound for the moment of shifted values of cubic $L$-functions over function fields Galois Symbols for a Jacobian and Multiplicative Groups Equalities among simplest quartic fields: a complete classification Height...

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/2026-08-12/ On the Squarefree Values of Degree-$2q$ Polynomials An omega result for the first sign change of coefficients of symmetric power $L$-functions of Hecke-Maass cusp forms A proof of a weighted sum conjecture for finite multiple zeta values of level two Average root numbers 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/2026-08-11/ Zeta zeros of function fields heuristically equidistribute as genus goes to infinity Sharp vertex connectivity of the Markoff graphs modulo $p$ Positive Lower Density for Hofstadter's $ab-1$ Problem On the Emerton-Gee stack of potentially semistable representations Represent...

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/2026-08-10/ Refuting a Conjecture of Umans and Wang on Arithmetic-Progression Divisor Covers Squarefree numbers in short intervals: explicit and formalized Anticyclotomic Iwasawa theory of CM elliptic curves at ramified primes A Combinatorial Approach to Vorono{\"i} Theory An extension...

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/2026-08-07/ Rigidity of Averages over the Two Largest Prime Factors Explicit Algebraic Numbers all whose Integer Parts of Powers are Composite The sesquicentennial of the prime number $2^{127} - 1$ Trianguline representations and locally analytic principal series of ${\rm GL}_2({\mathbb...

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/2026-08-06/ Rational spanning sets of level-one cusp forms from Eisenstein series at prime levels The distribution and the structure of the maximum of partial sums in families of trace functions The $5$-divisible integer group determinants for the elementary abelian group of order 25 On...