#### Alladi Ramakrishnan Hall

#### Non-linear twists of Fourier coefficients of $GL(3)$-Maass forms.

#### Kummari Mallesham

##### ISI Kolkata

*Non-trivial bounds on sums of the form*

$$\sigma_{N\leq n\leq 2N}a(n)e(\alpha n \beta ),$$

where $a(n)$ is an arithmetically defined sequence, have “nice”

consequences. In this talk, we will explain how to obtain non-trivial bounds

on the above sums when the sequence $a(n)$ is given by the Fourier

coefficients of $GL(3)$- Maass forms.

Done