Corentin Darreye

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20192023

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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…