WebSep 26, 2013 · We first establish a relationship between the existence of the Landau-Siegel zero of L (s,χ) and the distribution of zeros of the Dirichlet L-function L (s,ψ), with ψ belonging to a set Ψ of primitive characters, in a region Ω. It is shown that if the Landau-Siegel zero exists (equivalently, L (1,χ) is small), then, for most ψ ∈ Ψ ... WebNov 4, 2024 · It is proved that where the implied constant is absolute and effectively computable. In the proof, the lower bound for is first related to the distribution of zeros of …

The Landau-Siegel zero and spacing of zeros of L-functions

WebYitang Zhang (Chinese: 张益唐; born February 5, 1955) is a Chinese-American mathematician primarily working on number theory and a professor of mathematics at the University of California, Santa Barbara since 2015.. Previously working at the University of New Hampshire as a lecturer, Zhang submitted a paper to the Annals of Mathematics in … WebThis follows from a more general result: Landau–Siegel zeros of Dirichlet L-functions repel the zeros of all other automorphic L-functions from the line Re(s) = 1. 1. Introduction and statementof the main results ... is a discrete set). Let m ≥ 2 and π ∈ Fm. The analytic conductor C(π) of π (see (2.1)) is a get a free sub from subway

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WebApr 4, 2024 · The title of the paper is Discrete mean estimates and the Landau-Siegel Zero. The author of the paper is Zhang Yitang, whose name, unit name and e-mail address are attached at the end of the article. In … WebThe Landau-Siegel zeros conjecture is a sort of potential counterexample to the Riemann Hypothesis, which is theorized to predict the probability that numbers in a certain range are prime WebYitang Zhang: Discrete mean estimates and the Landau-Siegel zero. The paper has 111 pages, and the current available version is printed pdf (19MB): … get a free smartphone today