Results 121 to 130 of about 1,091 (207)

On moments of the derivative of CUE characteristic polynomials and the Riemann zeta function

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We study the derivative of the characteristic polynomial of N×N$N \times N$ Haar‐distributed unitary matrices. We obtain new explicit formulae for complex‐valued moments when the spectral variable is inside the unit disc, in the limit N→∞$N \rightarrow \infty$.
Nicholas Simm, Fei Wei
wiley   +1 more source

p$p$‐adic equidistribution and an application to S$S$‐units

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We prove a Galois equidistribution result for torsion points in Gmn$\mathbb {G}_m^n$ in the p$p$‐adic setting for test functions of the form log|F|p$\log |F|_p$ where F$F$ is a nonzero polynomial with coefficients in the field of complex p$p$‐adic numbers.
Gerold Schefer
wiley   +1 more source

The L$L$‐polynomials of van der Geer–van der Vlugt curves in characteristic 2

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract The van der Geer–van der Vlugt curves form a class of Artin–Schreier coverings of the projective line over finite fields. We provide an explicit formula for their L$L$‐polynomials in characteristic 2, expressed in terms of characters of maximal abelian subgroups of the associated Heisenberg groups.
Tetsushi Ito   +2 more
wiley   +1 more source

On the intersections of nilpotent subgroups in simple groups

open access: yesProceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.
Abstract Let G$G$ be a finite group and let Hp$H_p$ be a Sylow p$p$‐subgroup of G$G$. A recent conjecture of Lisi and Sabatini asserts the existence of an element x∈G$x \in G$ such that Hp∩Hpx$H_p \cap H_p^x$ is inclusion‐minimal in the set {Hp∩Hpg:g∈G}$\lbrace H_p \cap H_p^g \,:\, g \in G\rbrace$ for every prime p$p$.
Timothy C. Burness, Hong Yi Huang
wiley   +1 more source

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