Count lifts of non-maximal closed horocycles on $$SL_N(\mathbb {Z}) \backslash SL_N(\mathbb {R})/SO_N({\mathbb {R}})$$

ON MAXIMAL IDEALS OF R∞L

Let $L$ be a completely regular frame and $mathcal{R}L$ be the ring of real-valued continuous functions on $L$. We consider the set $$mathcal{R}_{infty}L = {varphi in mathcal{R} L : uparrow varphi( dfrac{-1}{n}, dfrac{1}{n}) mbox{ is a compact frame for any $n in mathbb{N}$}}.$$ Suppose that $C_{infty} (X)$ is the family of all functions $f in C(X)$ for which the set ${x in X: |f(x)|geq dfrac{1...

Equidistribution of Kronecker Sequences along Closed Horocycles

It is well known that (i) for every irrational number α the Kronecker sequence mα (m = 1, . . . ,M) is equidistributed modulo one in the limit M → ∞, and (ii) closed horocycles of length l become equidistributed in the unit tangent bundle T1M of a hyperbolic surface M of finite area, as l → ∞. In the present paper both equidistribution problems are studied simultaneously: we prove that for any ...

A note on maximal non-prime ideals

The rings considered in this article are commutative with identity $1neq 0$. By a proper ideal of a ring $R$,  we mean an ideal $I$ of $R$ such that $Ineq R$.  We say that a proper ideal $I$ of a ring $R$ is a  maximal non-prime ideal if $I$ is not a prime ideal of $R$ but any proper ideal $A$ of $R$ with $ Isubseteq A$ and $Ineq A$ is a prime ideal. That is, among all the proper ideals of $R$,...

HECKE ORBITS OF COMPACT MAXIMAL FLATS IN ZGLn(Z)nGLn(R)=On

on the effect of linear & non-linear texts on students comprehension and recalling

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