Youness Lamzouri

most citedPrime number races with three or more competitors

3 citations · 3 across the 1 of their papers we have counts for

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3 papers

math.NT2011

The distribution of short character sums

Youness Lamzouri

Let $χ$ be a non-real Dirichlet character modulo a prime $q$ . In this paper we prove that the distribution of the short character sum $S_{χ, H} (x) = \sum_{x < n \leq x + H} χ (n)$ , as $x$ …

math.NT2011

Randomness of character sums modulo $m$

Youness Lamzouri, Alexandru Zaharescu

Using a probabilistic model, based on random walks on the additive group $Z / m Z$ , we prove that the values of certain real character sums are uniformly distributed…

math.NT2011★ 3 cited

Prime number races with three or more competitors

Youness Lamzouri

Fix an integer $r \geq 3$ . Let $q$ be a large positive integer and $a_{1}, ..., a_{r}$ be distinct residue classes modulo $q$ that are relatively prime to $q$ . In this paper, we establish…

The distribution of short character sums

Randomness of character sums modulo m

Prime number races with three or more competitors

Randomness of character sums modulo $m$