Timeline for Reference for Siegel-Walfisz Theorem under GRH

7 events

when toggle format	what		by	license	comment
Dec 29, 2016 at 23:59	vote	accept	Johnny T.
Dec 27, 2016 at 23:27	comment	added	GH from MO		@user1952009: I gave two references for this estimate (Montgomery-Vaughan and Iwaniec-Kowalski). You can study the proof in those books.
Dec 27, 2016 at 22:52	comment	added	reuns		I see. I'd say it is a consequence of an uniform estimate $A T \ln T+B T+O(\ln T)$ (or $O(\ln T/\ln \ln T)$) for the number of non-trivial poles of $\sum_{n \equiv a \bmod q} n^{-s} \Lambda(n)$ ?
Dec 27, 2016 at 22:32	comment	added	GH from MO		@user1952009: GRH implies the uniform error term $O(X^{1/2}\log^2(X))$. The implied constant is independent of $q$ and $a$.
Dec 27, 2016 at 22:08	comment	added	reuns		Is there a (conjectured) $O$ term uniformly on $q,a$ (or $\chi$) ?
Dec 26, 2016 at 23:44	history	edited	GH from MO	CC BY-SA 3.0	added 142 characters in body
Dec 26, 2016 at 23:21	history	answered	GH from MO	CC BY-SA 3.0