2 papers
math.NT2026
Non-vanishing of central values of L-functions with angular restrictions
Filippo Berta, Svenja zur Verth
We study the angular restrictions for the second moment of toroidal families of -functions using the general theory of trace functions. With the mollification technique we deduc…
math.NT2025
Solving quadratic forms in restricted variables with the circle method
Mieke Wessel, Svenja zur Verth
Let be a non-singular quadratic form with sufficiently many mixed terms and an integer. For a sequence of weights we study the number of weighted so…