Corentin Perret-Gentil

activity

20162019

most citedGaussian distribution of short sums of trace functions over finite fields

14 citations · 25 across the 5 of their papers we have counts for

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math.NT2016

Distribution questions for trace functions with values in cyclotomic integers and their reductions

Corentin Perret-Gentil

We consider $ℓ$ -adic trace functions over finite fields taking values in cyclotomic integers, such as characters and exponential sums. Through ideas of Deligne and Katz, we expl…

math.NT2016★ 14 cited

Gaussian distribution of short sums of trace functions over finite fields

Corentin Perret-Gentil

We show that under certain general conditions, short sums of $ℓ$ -adic trace functions over finite fields follow a normal distribution asymptotically when the origin varies, gene…

math.NT2016★ 3 cited

Integral monodromy groups of Kloosterman sheaves

Corentin Perret-Gentil

We show that integral monodromy groups of Kloosterman $ℓ$ -adic sheaves of rank $n \geq 2$ on $G_{m} / F_{q}$ are as large as possible when the characteristic $ℓ$ is…