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math.DS2026
The Fully Inhomogeneous -Adic Littlewood Conjecture
Menny Aka, Alexander Gorodnik, Pankaj Vishe +1
We prove that for almost every , the \textit{fully inhomogeneous -adic Littlewood Conjecture} holds; namely, $$\forall\, δ\in\mathbb{R},\;\forall\, κ\in\mathbb{Z…
math.DS2026
Effective equidistribution of unipotent orbits in homogeneous spaces of $\SL(2,\R)\ltimes(\R^2)^{k}$
Andreas Strömbergsson, Anders Södergren, Pankaj Vishe
Let $G=\SL(2,\R)\ltimes(\R^2)^{k}$, let be a congruence subgroup of $\SL(2,\Z)\ltimes(\Z^2)^{k}$, and let be the one-parameter subgroup of given by…