Marc Munsch

activity

20142026

most citedShifted moments of L functions and moments of theta functions

12 citations · 20 across the 22 of their papers we have counts for

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3 papers · 1 filter

math.NT2023

Moments and non-vanishing of $L$ -functions over thin subgroups

Marc Munsch, Igor E. Shparlinski

We obtain an asymptotic formula for all moments of Dirichlet $L$ -functions $L (1, χ)$ modulo $p$ when averaged over a subgroup of characters $χ$ of size $(p - 1) / d$ with $φ(d)=o(\log p…

math.NT2023

$L_{q}$ norms and Mahler measure of Fekete polynomials

Oleksiy Klurman, Youness Lamzouri, Marc Munsch

We show that the distribution of the values of Fekete polynomials $F_{p}$ on the unit circle is governed, as $p \to \infty$ , by an explicit limiting (non-Gaussian) random point process…

math.NT2023

Pointwise and correlation bounds on Dedekind sums over small subgroups

Bence Borda, Marc Munsch, Igor Shparlinski

We obtain new bounds, pointwisely and on average, for Dedekind sums $s (λ, p)$ modulo a prime $p$ with $λ$ of small multiplicative order $d$ modulo $p$ . Assuming the infinit…

Moments and non-vanishing of L-functions over thin subgroups

Lq​ norms and Mahler measure of Fekete polynomials

Pointwise and correlation bounds on Dedekind sums over small subgroups

Moments and non-vanishing of $L$ -functions over thin subgroups

$L_{q}$ norms and Mahler measure of Fekete polynomials