Are there some results give the $X$ power saving of the error term in Ternary Goldbach problem, not just the $\log$ power saving?
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3$\begingroup$ This is achievable for function fields (even for the binary Goldbach problem) but seems out of reach over the integers. $\endgroup$– Will SawinCommented Sep 23 at 22:58
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$\begingroup$ Thank you so much. ^-^ $\endgroup$– Adiel HsuehCommented Sep 23 at 23:03
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$\begingroup$ Please use a high-level tag like "nt.number-theory". I added this tag now. Regarding high-level tags, see meta.mathoverflow.net/q/1075 $\endgroup$– GH from MOCommented Sep 23 at 23:05
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1$\begingroup$ Improving the error beyond an arbitrary log power saving would require one to show that there do not exist Landau-Siegel zeros, as one can show that if one exists, one can get an asymptotic with a better error, but with a secondary error term dependent on the exceptional zero. $\endgroup$– Mayank PandeyCommented Sep 26 at 6:02
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