P. Vishe

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20112026

most citedRational curves on smooth hypersurfaces of low degree

19 citations · 56 across the 16 of their papers we have counts for

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4 papers · 1 filter

math.DS2026

The Fully Inhomogeneous $p$ -Adic Littlewood Conjecture

Menny Aka, Alexander Gorodnik, Pankaj Vishe +1

We prove that for almost every $α \in R$ , the \textit{fully inhomogeneous $p$ -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 $Γ$ be a congruence subgroup of $\SL(2,\Z)\ltimes(\Z^2)^{k}$, and let $u_{R} = (u_{x})_{x \in R}$ be the one-parameter subgroup of $G$ given by…

math.DS2020

A sparse equidistribution result for $(SL (2, R) / Γ_{0})^{n}$

Pankaj Vishe

Let $G = SL (2, R)^{n}$ , let $Γ = Γ_{0}^{n}$ , where $Γ_{0}$ is a co-compact lattice in $SL (2, R)$ , let $F (x)$ be a non-singular quadratic form and let…

math.DS2015

Uniform bounds for period integrals and sparse equidistribution

James Tanis, Pankaj Vishe

Let $M = Γ\ PSL (2, R)$ be a compact manifold, and let $f \in C^{\infty} (M)$ be a function of zero average. We use spectral methods to get uniform (i.e. independ…

The Fully Inhomogeneous p-Adic Littlewood Conjecture

Effective equidistribution of unipotent orbits in homogeneous spaces of $\SL(2,\R)\ltimes(\R^2)^{k}$

A sparse equidistribution result for (SL(2,R)/Γ0​)n

Uniform bounds for period integrals and sparse equidistribution

The Fully Inhomogeneous $p$ -Adic Littlewood Conjecture

A sparse equidistribution result for $(SL (2, R) / Γ_{0})^{n}$