Results 21 to 30 of about 6,964 (137)

A P‐adic class formula for Anderson t‐modules

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract In 2012, Taelman proved a class formula for L$L$‐series associated to Drinfeld Fq[θ]$\mathbb {F}_q[\theta]$‐modules and considered it as a function field analogue of the Birch and Swinnerton‐Dyer conjecture. Since then, Taelman's class formula has been generalized to the setting of Anderson t$t$‐modules.
Alexis Lucas
wiley   +1 more source

Computing special values of partial zeta functions

, 2000
We discuss computation of the special values of partial zeta functions associated to totally real number fields. The main tool is the \emph{Eisenstein cocycle} $\Psi $, a group cocycle for $GL_{n} (\Z )$; the special values are computed as periods of ...
A. Ash, C.S. Siegel, D.R. Hayes, D.S. Dummit, L.C. Washington, R. Sczech   +5 more
core   +1 more source

Expansion of normal subsets of odd‐order elements in finite groups

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract Let G$G$ be a finite group and K$K$ a normal subset consisting of odd‐order elements. The rational closure of K$K$, denoted DK$\mathbf {D}_K$, is the set of elements x∈G$x \in G$ with the property that ⟨x⟩=⟨y⟩$\langle x \rangle = \langle y \rangle$ for some y$y$ in K$K$.
Chris Parker, Jack Saunders
wiley   +1 more source

Rademacher-Carlitz Polynomials [PDF]

, 2013
We introduce and study the \emph{Rademacher-Carlitz polynomial} \[ \RC(u, v, s, t, a, b) := \sum_{k = \lceil s \rceil}^{\lceil s \rceil + b - 1} u^{\fl{\frac{ka + t}{b}}} v^k \] where $a, b \in \Z_{>0}$, $s, t \in \R$, and $u$ and $v$ are variables ...
Beck, Matthias, Kohl, Florian
core  

Equivariant toric geometry and Euler–Maclaurin formulae

Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell, Laurenţiu Maxim, Jörg Schürmann, Julius L. Shaneson   +3 more
wiley   +1 more source

Joint distribution of Hecke eigenforms on H3$ \mathbb {H}^3$

Mathematische Nachrichten, Volume 299, Issue 3, Page 661-674, March 2026.
Abstract We prove a joint value equidistribution statement for Hecke–Maaß cusp forms on the hyperbolic three‐space H3$\mathbb {H}^3$. This supports the conjectural statistical independence of orthogonal cusp forms.
Didier Lesesvre, Luca Marchesini, Nicole Raulf   +2 more
wiley   +1 more source

Fusion systems related to polynomial representations of SL2(q)$\operatorname{SL}_2(q)$

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Let q$q$ be a power of a fixed prime p$p$. We classify up to isomorphism all simple saturated fusion systems on a certain class of p$p$‐groups constructed from the polynomial representations of SL2(q)$\operatorname{SL}_2(q)$, which includes the Sylow p$p$‐subgroups of GL3(q)$\mathrm{GL}_3(q)$ and Sp4(q)$\mathrm{Sp}_4(q)$ as special cases.
Valentina Grazian, Chris Parker, Jason Semeraro, Martin van Beek   +3 more
wiley   +1 more source

On sums of generalized Ramanujan sums [PDF]

, 2013
Ramanujan sums have been studied and generalized by several authors. For example, Nowak studied these sums over quadratic number fields, and Grytczuk defined that on semigroups.
Fujisawa, Yusuke
core  

Digit Variance and Dedekind Sums

Journal of Number Theory, 1997
Given positive integers \(z,n,b\) with \(1\leq z\leq n-1\), \((z,n)=1\), \(n\geq 2\), \(b\geq 2\), \((b,n)=1\), the expansion of the rational \(z/n\) in base \(b\) has the form \(z/n= \sum^\infty_{j =1} c_jb^{-j}\), where each coefficient \(c_j\) is one of the digits \(0,1, \dots, b-1\), and \(c_j \neq b-1\) for infinitely many \(j\).
openaire   +2 more sources

Ice‐Nucleating Particle and Cloud Ice Crystal Concentrations Associated With Developing Summertime Deep Convective Clouds in South‐Western USA

Journal of Geophysical Research: Atmospheres, Volume 131, Issue 3, 16 February 2026.
Abstract Ice‐nucleating particles (INPs), essential for initiating primary ice production in many mixed‐phase clouds, have only rarely been measured in air directly relevant for deep convective clouds. In July–August 2022 we used an aircraft to sample aerosol near developing deep convective clouds over Magdalena Mountain, New Mexico, USA.
Martin I. Daily, Joseph Robinson, Declan L. Finney, Erin N. Raif, James B. McQuaid, Alberto Sanchez‐Marroquin, Kezhen Hu, Gary Lloyd, Michael Flynn, Paul R. Field, Keith N. Bower, Hugh Coe, Martin W. Gallagher, Alan M. Blyth, Benjamin J. Murray   +14 more
wiley   +1 more source