Anilatmaja Aryasomayajula

activity

20152026

collaborators

13 papers

math.NT2026

$L^{\infty}$ -norm bounds for Siegel--Jacobi cusp forms

Anilatmaja Aryasomayajula, Jürg Kramer, Anna-Maria von Pippich

In this article, we establish explicit and uniform $L^{\infty}$ -norm bounds for $L^{2}$ -normalized Siegel--Jacobi cusp forms of integral weight $k$ and index $m$ for the Siegel mod…

math.CV2025

Off-diagonal estimates of the Bergman kernel associated to Siegel varieties

Anilatmaja Aryasomayajula, Harinarayanan G

For $g \geq 2$ , let $Γ \subset Sp (2 g, R)$ be a discrete subgroup, which is either a cocompact subgroup or an arithmetic subgroup without torsion elements, and let $\m…

math.CV2024

Estimates and asymptotics of Teichmüller modular forms

Anilatmaja Aryasomayajula, Debasish Sadhukhan

In this article, we derive estimates of Teichmüller modular forms, and associated invariants. Let $M_{g}$ denote the moduli space of compact hyperbolic Riemann surfaces o…

math.CV2024

Estimates of automorphic forms on $SU (n, 1)$

Anilatmaja Aryasomayajula, Baskar Balasubramanyam

For $n \geq 2$ , let $Γ \subset SU ((n, 1), O_{K})$ be a torsion-free, finite-index subgroup, where $O_{K}$ denotes the ring of integers of a totally imaginary…

math.NT2024

Sup-norm bounds for Jacobi cusp forms

Anilatmaja Aryasomayajula, Jürg Kramer, Anna-Maria von Pippich

In this article, we give $L^{\infty}$ -norm bounds for the natural invariant norm of cusp forms of real weight $k$ and character $χ$ for any cofinite Fuchsian subgroup $Γ\subset\mat…

math.CV2023

Estimates of Bergman Kernels and Bergman metric on compact Picard surfaces

Anilatmaja Aryasomayajula, Dyuti Roy, Debasish Sadhukhan

Let $Γ \subset SU ((2, 1), C)$ be a torsion-free cocompact subgroup. Let $B^{2}$ denote the $2$ -dimensional complex ball endowed with the hyperbolic metric $…

L∞-norm bounds for Siegel--Jacobi cusp forms