Jesse Jääsaari

activity

20142026

most citedOn fundamental Fourier coefficients of Siegel cusp forms of degree 2

2 citations · 3 across the 6 of their papers we have counts for

collaborators

8 papers

math.NT2026

On the Number of Hecke Eigenvalues of the Same Sign on $GL_{n}$

Jesse Jääsaari

We study the distribution of signs of the (real-valued) Hecke eigenvalues $A (m, 1, ..., 1)$ of self-dual Hecke--Maass cusp forms for the group $SL_{n} (Z)$ , where $n\geq…

math.NT2026

On the Real Zeroes of Half-integral Weight Hecke Cusp Forms, II

Jesse Jääsaari

We show that for $≫ K^{2}$ of the half-integral weight Hecke cusp forms in Kohnen plus subspaces with weight bounded by a large parameter $K$ , the number of "real" zeroes grows at…

math.NT2024

$Ω$ -Results for Exponential Sums Related to Maass Cusp Forms for $SL_{3} (Z)$

Jesse Jääsaari

We obtain $Ω$ -results for linear exponential sums with rational additive twists of small prime denominators weighted by Hecke eigenvalues of Maass cusp forms for the group $\mathrm…

math.NT2023★ 1 cited

Mass equidistribution for Saito-Kurokawa lifts

Jesse Jääsaari, Stephen Lester, Abhishek Saha

Let $F$ be a holomorphic cuspidal Hecke eigenform for $Sp_{4} (Z)$ of weight $k$ that is a Saito--Kurokawa lift. Assuming the Generalized Riemann Hypothesis (GRH), w…

math.NT2020★ 2 cited

On fundamental Fourier coefficients of Siegel cusp forms of degree 2

Jesse Jääsaari, Stephen Lester, Abhishek Saha

Let $F$ be a Siegel cusp form of degree 2, even weight $k \geq 2$ and odd squarefree level $N$ . We undertake a detailed study of the analytic properties of Fourier coefficients $a(…

math.NT2016

On Sums Involving Fourier Coefficients of Maass Forms for $SL (3, Z)$

Jesse Jääsaari, Esa V. Vesalainen

We derive a truncated Voronoi identity for rationally additively twisted sums of Fourier coefficients of Maass forms for $SL (3, Z)$ , and as an application obtain a…

math.NT2014

Exponential Sums Related to Maass Forms

Jesse Jääsaari, Esa V. Vesalainen

We estimate short exponential sums weighted by the Fourier coefficients of a Maass form. This requires working out a certain transformation formula for non-linear exponential sums,…

math.NT2014

Resonances and $Ω$ -results for Exponential Sums Related to Maass Forms for $SL (n, Z)$

Anne-Maria Ernvall-Hytönen, Jesse Jääsaari, Esa V. Vesalainen

We obtain resonances for short exponential sums involving Fourier coefficients of Maass forms for $SL (n, Z)$ . This involves deriving asymptotics for the integrals a…

On the Number of Hecke Eigenvalues of the Same Sign on GLn​

On the Real Zeroes of Half-integral Weight Hecke Cusp Forms, II

Ω-Results for Exponential Sums Related to Maass Cusp Forms for SL3​(Z)

Mass equidistribution for Saito-Kurokawa lifts

On fundamental Fourier coefficients of Siegel cusp forms of degree 2

On Sums Involving Fourier Coefficients of Maass Forms for SL(3,Z)

Exponential Sums Related to Maass Forms

Resonances and Ω-results for Exponential Sums Related to Maass Forms for SL(n,Z)

On the Number of Hecke Eigenvalues of the Same Sign on $GL_{n}$

$Ω$ -Results for Exponential Sums Related to Maass Cusp Forms for $SL_{3} (Z)$

On Sums Involving Fourier Coefficients of Maass Forms for $SL (3, Z)$

Resonances and $Ω$ -results for Exponential Sums Related to Maass Forms for $SL (n, Z)$