
arXiv math.NTの新着論文87本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-11-03/Cuspidal sheaves on the stack of L-parametersPorosity in Diophantine approximationOn the Distribution of Prime Squares and Its ApplicationsA power-saving asymptotic for a M\"obius-weighted GCD quadratic formThe distribution of $\alpha\pi$ modulo one in $\Fq(T)$: beyond Matom\"aki's exponentCyclotomic polynomials with trinomial irreducible factors over finite fieldsOn Certain Congruences for Partition $k$-Tuples with $5$-CoresPartition statistics and universal mixed mock modular formsTwisting-free converse theorems for $\Gamma_0(32)$ and $\Gamma_0(36)$On Ramanujan's cubic continued fraction, IIThe covering radius of the first-order Reed-Muller code in nine variables is 242An exhaustion-aware product moment and zero-free half-planes for Hecke L-functionsTwo-point Pad\'e approximation and patterns in continued fractions for $(F_{n+1}/F_n)^k$Uniform cubic bounds for irrational values of the dilogarithmOn Wagstaff primes in the $k$-Pell number sequenceFermat curves and explicit class field theory for real quadratic number fieldsEntanglement for elliptic curve group ordersSmall-LCM Distinct Covering Systems via Segmented Local SearchA secondary term in the first moment of primitive cubic Dirichlet L-functionsImproved first moments of primitive quartic and sextic Dirichlet $L$-functionsAdelic Galois representations are maximal for almost all Drinfeld modulesA solution to the Erd\H{o}s-S\'{a}rk\"{o}zy product-density problemA Counterexample to Wooley's $L^1$ Question for Beatty SequencesSmooth numbers in simultaneous arithmetic progressionsCounting Nilpotent Galois extensions with prescribed genus numberA new upper bound for the irrationality exponent of $\zeta(5)$Irrationality measures for $\Gamma(1/4)$ and $\Gamma(1/3)$Inhomogeneous Fiber Refinement of Gallagher's TheoremGroups of Prime UnitsFinite Cotangent Power Sums Weighted by Additive Characters With Application to Mean Values of Additive-and-Multiplicatively Twisted $L$-FunctionsA Korselt Characterization of Carmichael Numbers of the Form $(aC_n+1)(aC_{n+1}+1)(aC_{n+2}+1)$Probing automorphic induction through zero correlations and secondary arithmetic termsFunctoriality probes over number fields by mixed zero correlationsA converse theorem for GL(2) over global fields without root numbersOn the probability that the integer parts of polynomials are coprimeDeterministic Polynomial-Time Primality Testing with a Single Binomial CongruenceOn the exponential Diophantine equation $\left(P_{n}^{(k)}\right)^{x}+\left(P_{r}^{(k)}\right)^{x}=P_{m}^{(k)}$On the exponential Diophantine equation $\left(P_{n+1}^{(k)}\right)^{x}-\left(P_{n-1}^{(k)}\right)^{x}=2P_{m}^{(k)}$<a href="ht
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