Results 41 to 50 of about 12,032 (167)
Expansion of normal subsets of odd‐order elements in finite groups
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
Equivariant toric geometry and Euler–Maclaurin formulae
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 +3 more
wiley +1 more source
Values of Arithmetical Functions Equal to a Sum of Two Squares [PDF]
http://www.math.missouri.edu/~bbanks/papers/index.htmlLet '(n) denote the Euler function. In this paper, we determine the order of growth for the number of positive integers n ≤ x for which '(n) is the sum of two square numbers.
Banks, William David, 1964- +3 more
core
Joint distribution of Hecke eigenforms on H3$ \mathbb {H}^3$
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 +2 more
wiley +1 more source
On K_0 of locally finte categories
We calculate the Grothendieck group $K_0(\cal A)$, where $\cal A$ is an additive category, locally finite over a Dedekind ring and satisfying some additional conditions.
Drozd, Yuriy A.
core
Fusion systems related to polynomial representations of SL2(q)$\operatorname{SL}_2(q)$
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 +3 more
wiley +1 more source
Digit Variance and Dedekind Sums
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
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 +14 more
wiley +1 more source
A Refined Graph Container Lemma and Applications to the Hard‐Core Model on Bipartite Expanders
ABSTRACT We establish a refined version of a graph container lemma due to Galvin and discuss several applications related to the hard‐core model on bipartite expander graphs. Given a graph G$$ G $$ and λ>0$$ \lambda >0 $$, the hard‐core model on G$$ G $$ at activity λ$$ \lambda $$ is the probability distribution μG,λ$$ {\mu}_{G,\lambda } $$ on ...
Matthew Jenssen +2 more
wiley +1 more source

