Jesse Jääsaari

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math.NT2026

On the Number of Hecke Eigenvalues of 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

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…

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

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