Yarne Tranoy

collaborators

2 papers

math.FA2026

Riesz summability of Dirichlet series generating holomorphic functions of finite order

Andreas Debrouwere, Yarne Tranoy

Given a frequency $λ$ , we study the Riesz summability of $λ$ -Dirichlet series $\sum_{n = 1}^{\infty} a_{n} e^{- λ_{n} s}$ generating holomorphic functions of finite order. We present a new…

math.NT2026

A Wiener-Ikehara type theorem and its application to Chebyshev bounds for Beurling primes

Yarne Tranoy, Jasson Vindas

We provide a new version of the Wiener-Ikehara theorem where one deduces bounds $0 < x \to \infty lim inf \frac{S ( x )}{e ^{x}} \leq x \to \infty lim sup \frac{S ( x )}{e ^{x}} < \infty$ …