WebDiscrete mean estimates and the Landau-Siegel zero Yitang Zhang Abstract Let ˜be a real primitive character to the modulus D. It is proved that L(1;˜) ˛(logD) 2024 where the implied constant is absolute and e ectively computable. In the proof, the lower bound for L(1;˜) is rst related to the distribution of zeros of WebThere is an asymptotic formula for the relative class number of p th-cyclotomic fields where a Siegel zero β occurs: h − ( p) = p + 3 4 log p − p 2 log 2 π + log ( 1 − β) + O ( log 2 2 p) If no Siegel zero exists or if p ≡ 1 ( 4), the term log ( 1 − β) disappears in the formula.

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WebSep 19, 2024 · So my idea is that adding a Landau-Siegel zero would create a non periodic signal made by the decreasing sequence of real zeros, whose Fourier transform would not be periodic either, suggesting the existence of a complex non trivial zero in the critical strip off the critical line. Web今年10月中旬，一则“数学家张益唐已经攻克朗道-西格尔零点猜想（Landau-Siegel Zeros Conjecture）”的网传消息轰动了数学界，甚至引发全网关注。 ... 隔不到一个月，11月7日，张益唐长达111页的新论文《离散平均估计和朗道-西格尔零点》（Discrete mean estimates and the ... covid teststelle nk

Discrete mean estimates and the Landau-Siegel zero

WebYes, if he could have knocked the constant in Theorem 1 down to 2024, then he could have gotten 2024 for Theorem 2. In general, if you can obtain the constant A in Theorem 1, … WebNov 8, 2024 · On November 7, Zhang’s new paper, “Discrete Mean Estimates and the Landau-Siegel Zero,” was officially launched on arXiv, an open-access repository of electronic preprints and postprints. During the speech, Zhang used a whiteboard and a black marker to show the relevant proof formulas by hand and explain the innovations. WebMay 29, 2007 · We provide a proof of a variant of the Landau-Siegel Zeros conjecture. Comments: about 54 paqes. Subjects: Number Theory (math.NT) MSC classes: 11M20. … covid teststation freyung