5 papers
On optimality of mollifiers
Martin Äech, Kaisa Matomäki
Mollifiers are used in a variety of contexts, for instance to study the non-vanishing of -functions. In this paper, we study the general question of finding optimal mollifiers a…
First moment of quadratic Dirichlet -functions with secondary terms
Martin Äech
We study the first moment of primitive quadratic Dirichlet -functions. Assuming the Riemann hypothesis and the generalized Lindelöf hypothesis, we obtain an asymptotic formula…
Low-lying zeros in families of Maass form L-functions: an extended density theorem
Martin Äech, Lucile Devin, Daniel Fiorilli +2
We study the one-level density of low-lying zeros in the family of Maass form -functions of prime level tending to infinity. Generalizing the influential work of Iwaniec, Lu…
TRIFFID: Autonomous Robotic Aid For Increasing First Responders Efficiency
Jorgen Cani, Panagiotis Koletsis, Konstantinos Foteinos +14
The increasing complexity of natural disaster incidents demands innovative technological solutions to support first responders in their efforts. This paper introduces the TRIFFID s…
Multiple Dirichlet series predictions for moments of -functions: unitary, symplectic and orthogonal examples
Siegfred Baluyot, Martin Äech
We devise heuristics using multiple Dirichlet series to predict asymptotic formulas for shifted moments of (1) the family of Dirichlet -functions of all even primitive character…