Jesse Jääsaari

Publications

On the Real Zeroes of Half-integral Weight Hecke Cusp Forms. To appear in Mathematische Annalen.
$\Omega$-Results for Exponential Sums Related To Maass Cusp Forms for $\mathrm{SL}_3(\mathbb Z)$. To appear in Mathematical Proceedings of the Cambridge Philosophical Society.
(with Stephen Lester and Abhishek Saha) Mass Equidistribution for Saito-Kurokawa Lifts. Geometric and Functional Analysis (GAFA), Volume 34, Issue 5 (2024), pp. 1460–1532.
On Signs of Fourier Coefficients of Hecke-Maass Cusp Forms on $\mathrm{GL}_3$. Transactions of the American Mathematical Society, Volume 376, No. 11 (2023), pp. 8193-8223.
(with Stephen Lester and Abhishek Saha) On Fundamental Fourier Coefficients of Siegel Cusp Forms of Degree $2$. Journal of the Institute of Mathematics of Jussieu, Volume 22, Issue 4 (2023), pp. 1819-1869.
On Short Sums Involving Fourier Coefficients of Maass Forms. Journal de Théorie des Nombres de Bordeaux, 32 (3) (2020), pp. 761-793.
(with Esa V. Vesalainen) Exponential Sums Related to Maass Forms. Acta Arithmetica 190 (2019), pp. 1-48.
(with Esa V. Vesalainen) On Sums Involving Fourier Coefficients of Maass Forms for $\mathrm{SL}(3,\mathbb Z)$. Functiones & Approximatio Commentarii Mathematici, Vol. 57, No 2 (2017), pp. 255-275. Correction.
(with Anne-Maria Ernvall-Hytönen and Esa V. Vesalainen) Resonances and $\Omega$-Results for Exponential Sums Related to Maass Forms for $\mathrm{SL}(n,\mathbb Z)$. Journal of Number Theory, 153 (2015), pp. 135-157.

Arvioita karakterisummille: Polya-Vinogradovin epäyhtälö ja sen vahvennuksia (Estimates for Character Sums: The Polya-Vinogradov Inequality and Its Strengthenings, in Finnish), Solmu 2/2015, pp. 28-33.

Exponential Sums Related to Maass Cusp Forms. Doctoral dissertation, University of Helsinki, 2018.
A Pretentious Approach to Estimating Character Sums. Master's thesis, University of Helsinki, 2013.
Hölderin lause. Bachelor's thesis, University of Helsinki, 2013.