P. Vishe

activity

20152020

most citedRational points on complete intersections over

F_{q} (t)

2 citations · 3 across the 3 of their papers we have counts for

collaborators

4 papers

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.NT2019★ 2 cited

Rational points on complete intersections over $F_{q} (t)$

Pankaj Vishe

A Kloosterman refinement for function fields $K = F_{q} (t)$ is developed and used to establish the quantitative arithmetic of the set of rational points on a smooth complete i…

math.NT2018

An effective equidistribution result for $S L (2, R) ⋉ (R^{2})^{\oplus k}$ and application to inhomogeneous quadratic forms

Andreas Strömbergsson, Pankaj Vishe

Let $G =$ SL $(2, R) ⋉ (R^{2})^{\oplus k}$ and let $Γ$ be a congruence subgroup of SL $(2, Z) ⋉ (Z^{2})^{\oplus k}$ . We prove a polynomially effective asymptotic equidistribution res…

math.NT2015★ 1 cited

Rational points on cubic hypersurfaces over $F_{q} (t)$

Tim Browning, Pankaj Vishe

For any finite field k of characteristic exceeding 3, the Hasse principle and weak approximation is established for non-singular cubic hypersurfaces X over the function field k(t),…

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

Rational points on complete intersections over Fq​(t)

An effective equidistribution result for SL(2,R)⋉(R2)⊕k and application to inhomogeneous quadratic forms

Rational points on cubic hypersurfaces over Fq​(t)

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

Rational points on complete intersections over $F_{q} (t)$

An effective equidistribution result for $S L (2, R) ⋉ (R^{2})^{\oplus k}$ and application to inhomogeneous quadratic forms

Rational points on cubic hypersurfaces over $F_{q} (t)$