On probabilistic generalizations of the Nyman-Beurling criterion for the zeta Function
From MaRDI portal
Publication:2071239
DOI10.5802/cml.71zbMath1505.11115arXiv1805.06733OpenAlexW3205780793MaRDI QIDQ2071239
Sébastien Darses, Erwan Hillion
Publication date: 25 January 2022
Published in: Confluentes Mathematici (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.06733
Probability distributions: general theory (60E05) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Approximation by other special function classes (41A30)
Related Items (2)
Polynomial approximations in a generalized Nyman-Beurling criterion ⋮ Polynomial moments with a weighted zeta square measure on the critical line
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On a question of Balazard and Saias related to the Riemann hypothesis
- A class of invariant unitary operators
- Distance formulae and invariant subspaces, with an application to localization of zeros of the Riemann \(\zeta\)-function
- A lower bound in an approximation problem involving the zeros of the Riemann zeta function
- Notes on the Riemann \(\zeta\)-function. IV
- Note on the Riemann \(\zeta\)-function. III
- Co-Poisson intertwining
- A strengthening of the Nyman-Beurling criterion for the Riemann hypothesis
- Study of the multiplicative autocorrelation of the fractional part function
- Zero-free regions for Dirichlet series
- SUR UN CRITÈRE DE BÁEZ-DUARTE POUR L'HYPOTHÈSE DE RIEMANN
- An exponentially-averaged Vasyunin formula
- A general strong Nyman-Beurling criterion for the Riemann hypothesis
- A CLOSURE PROBLEM RELATED TO THE RIEMANN ZETA-FUNCTION
This page was built for publication: On probabilistic generalizations of the Nyman-Beurling criterion for the zeta Function
