Leírás
Zero-density theorems play an important role in the theory of
Riemann and Dedekind zeta function. I will present a proof for a general
zero-density theorem valid for a class of Dirichlet series which include
as special cases among others the Riemann zeta-function and Dedekind
zeta-functions. Due to the application of an idea of Gábor Halász these
results give sharper bounds in the vicinity of the boundary line Res=1,
similarly to the pioneering theorems of Gábor Halász and Paul Turán. If
applied to algebraic number fields of degree n, they improve earlier
results in some ranges for all n>2 (and for n=1, the case of the Riemann
zeta-function).
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Andras Biro is inviting you to a scheduled Zoom meeting.
Topic: szeminarium
Time: Feb 20, 2024 02:00 PM Budapest
Join Zoom Meeting
https://us06web.zoom.us/j/85409265840?pwd=TaaR9jqYomODQhvX0JOi7dh49xHOjc.1
Meeting ID: 854 0926 5840
Passcode: 845500