Corentin Darreye

activity

20192023

collaborators

3 papers

math.NT2023

Mean Values and Quantum Variance for Degenerate Eisenstein Series of Higher Rank

Dimitrios Chatzakos, Corentin Darreye, Ikuya Kaneko

We investigate the mean value of the inner product of squared $GL_{n}$ degenerate maximal parabolic Eisenstein series against a smooth compactly supported function lying i…

math.NT2020

Sign of Fourier coefficients of half-integral weight modular forms in arithmetic progressions

Corentin Darreye

Let $f$ be a half-integral weight cusp form of level $4 N$ for odd and squarefree $N$ and let $a (n)$ denote its $n^{th}$ normalized Fourier coefficient. Assuming that all the co…

math.NT2019

Fourier coefficients of half-integral weight modular forms in arithmetic progressions

Corentin Darreye

We study the probabilistic behavior of sums of Fourier coefficients in arithmetic progressions. We prove a result analogous to previous work of Fouvry-Ganguly-Kowalski-Michel and K…