L関数と楕円曲線とゼータ値 - 2026/6/16の論文32本

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/2026-06-16/Atoms in the Semigroup of Non-Negative Integer MatricesPower and rank-weighted sums in dense finite Sidon setsRational 2-Cycles for $x^3+bx+a$ and the Elliptic Family $Y^2=X^3+4X^2+16t^2$Every natural number is a sum of distinct semiprime unit fractionsOn concatenations of two $k$-generalized Pell numbersCounting Algebraic Integers of Bounded Height in Cyclotomic FieldsA full $p^{4r}$ supercongruence tower for a level-three symmetric-cube hypergeometric sequenceLarge values of quadratic Dirichlet $L$-functions of prime-related moduliThe Bateman-Horn conjecture on average for generalized von Mangoldt FunctionsA Beyond Endoscopy Derivation of the Functional Equation for the Symmetric-Square L-FunctionSquare-root cancellation for sums of coefficients of $\operatorname{GL}(m)$-automorphic forms over values of random polynomialsA parametric family of primes p = km(m+1) + e + 2kq: heuristic laws, conditional theorems, and unconditional primality certificatesOn periodic sign changes for weighted representations of integers as colored sums of triangular and generalized pentagonal numbersThakur's hypotheses on power sums of $\mathbb{F}_q[t]$Indivisibility of ray class groups of real quadratic fieldsTwo $q$-congruences from Jackson's ${}_8\phi_7$ summation and Andrews' ${}_4\phi_3$ summationThe difference of the sums of odd and even parts of restricted partitionsObstructions and kernel transport for Hecke lifts of partition q-bracketsDivided differences and complex variations of multiple zeta-star valuesGeneralized Bell polynomial operators arising from generalized normal orderingQuantitative Oppenheim Conjecture for Random Quadratic Forms and Optimal Variance Bounds in Function FieldsA counterexample to the near-quadratic Elekes--R\'onyai expander conjecture over $\mathbb R$Footnote to a theorem of Phagan on actions of a cyclic groupOn the classification of indecomposable Ekedahl-Oort strata in unitary Shimura varieties, and related Newton polygonsTransformers Learn the Mestre-Nagao HeuristicThe distribution of the de Moivre experimentDominant Zeros of Nekrasov--Okounkov PolynomialsDual Affine Spiral Orbits on $\mathbb{Z}^2$ Generated by Paired Unit SquaresNon-Archimedean balanced metrics and their application to totally degenerate abelian varietiesTorsors of Generalized del Pezzo Tori and Brauer GroupsAn Asymmetric Formula for Interval Consonance and its Relation to Harmonic CoincidenceThe Grothendieck-Katz Conjecture for privileged local systems