Jesse Jääsaari

Publications

Refereed research articles

  1. (with Esa V. Vesalainen) $\Omega$-Results For Exponential Sums Related To Maass Forms for $\mathrm{SL}(3,\mathbb Z)$.
  2. (with Stephen Lester and Abhishek Saha) On fundamental Fourier coefficients of Siegel cusp forms of degree $2$. To appear in J. Inst. Math. Jussieu.
  3. On Short Sums Involving Fourier Coefficients of Maass Forms. J. Théor. Nombres Bordeaux, 32 (3) (2020), pp. 761-793.
  4. (with Esa V. Vesalainen) Exponential Sums Related to Maass Forms. Acta Arithmetica 190 (2019), pp. 1-48.
  5. (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.
  6. (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.

Popular texts

  1. Perfektoidit avaruudet (Perfectoid Spaces, in Finnish).
  2. $L$-funktioiden alikonveksisuus (Subconvexity of $L$-functions, in Finnish).
  3. 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.

Theses

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