Jurg Kramer

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20232026

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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.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.NT2023

Uniform sup-norm bounds on average for Siegel cusp forms

Jürg Kramer, Antareep Mandal

Let $Γ ⊊ Sp_{n} (R)$ be an arithmetic subgroup of the symplectic group $Sp_{n} (R)$ acting on the Siegel upper half-space $H_{n}$ of de…

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

Sup-norm bounds for Jacobi cusp forms

Uniform sup-norm bounds on average for Siegel cusp forms

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