Youness Lamzouri

activity

20052026

L

-functions at the edge of the critical strip

27 citations · 46 across the 33 of their papers we have counts for

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Showing 2017Show all

4 papers · 1 filter

math.NT2017

Extreme biases in prime number races with many contestants

Kevin Ford, Adam J. Harper, Youness Lamzouri

We continue to investigate the race between prime numbers in many residue classes modulo $q$ , assuming the standard conjectures GRH and LI. We show that provided $n/\log q \rightar…

math.NT2017

Large sums of Hecke eigenvalues of holomorphic cusp forms

Youness Lamzouri

Let $f$ be a Hecke cusp form of weight $k$ for the full modular group, and let ${λ_{f} (n)}_{n \geq 1}$ be the sequence of its normalized Fourier coefficients. Motivated by the probl…

math.NT2017

Large odd order character sums and improvements of the Pólya-Vinogradov inequality

Youness Lamzouri, Alexander P. Mangerel

For a primitive Dirichlet character $χ$ modulo $q$ , we define $M (χ) = max_{t} ∣ \sum_{n \leq t} χ (n) ∣$ . In this paper, we study this quantity for characters of a fixed odd order $g\…

math.NT2017

The number of imaginary quadratic fields with prime discriminant and class number up to $H$

Youness Lamzouri

In this paper, we obtain an asymptotic formula for the number of imaginary quadratic fields with prime discriminant and class number up to $H$ , as $H \to \infty$ . Previously, such a…

Extreme biases in prime number races with many contestants

Large sums of Hecke eigenvalues of holomorphic cusp forms

Large odd order character sums and improvements of the Pólya-Vinogradov inequality

The number of imaginary quadratic fields with prime discriminant and class number up to H

The number of imaginary quadratic fields with prime discriminant and class number up to $H$