GH

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Name	GH
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Jun 13	comment	Karolyi’s theorem for finite groups and its extensions Regarding Károlyi's result [1], I heard that Imre Ruzsa found a proof without the Feit-Thompson theorem. Of course I might be wrong, ask either Károlyi or Ruzsa if you are interested.
Jun 11	revised	Karolyi’s theorem for finite groups and its extensions edited tags
Jun 7	comment	How does Yitang Zhang use Cauchy’s inequality and Theorem 2 to obtain the error term coming from the $S_2$ sum @Johan: Thank you, I will look at later today.
Jun 7	comment	the following inequality is true，but I can’t prove it @Andres: I think the solution at SE is incorrect.
Jun 6	comment	Does Zhang’s theorem generalize to $3$ or more primes in an interval of fixed length? $k_0=34429$ at the moment
Jun 6	comment	A technical question related to Zhang’s result of bounded prime gaps I changed $\bar{w}$ to $\varpi$ in this post.
Jun 6	revised	A technical question related to Zhang’s result of bounded prime gaps deleted 8 characters in body
Jun 6	revised	A technical question related to Zhang’s result of bounded prime gaps edited tags
Jun 6	awarded	● Good Answer
Jun 6	comment	Does Zhang’s theorem generalize to $3$ or more primes in an interval of fixed length? Fresh and relevant: arxiv.org/abs/1306.0948
Jun 5	awarded	● Nice Answer
Jun 4	comment	Does Zhang’s theorem generalize to $3$ or more primes in an interval of fixed length? @Noam: Sorry, I had a typo, $\nu-1$ should be $\sqrt{\nu}-1$. For $\nu=1$ the result is the original breakthrough of Goldston-Pintz-Yildirim (very small gaps between primes).
Jun 4	revised	Does Zhang’s theorem generalize to $3$ or more primes in an interval of fixed length? added 7 characters in body
Jun 4	comment	Does Zhang’s theorem generalize to $3$ or more primes in an interval of fixed length? @Noam: I added some information to my response.
Jun 4	revised	Does Zhang’s theorem generalize to $3$ or more primes in an interval of fixed length? added 516 characters in body
Jun 4	answered	Does Zhang’s theorem generalize to $3$ or more primes in an interval of fixed length?
Jun 4	comment	How does this argument to count the cusps of $Γ_0 (N)$ work? I am glad I could help!
Jun 4	comment	How does Yitang Zhang use Cauchy’s inequality and Theorem 2 to obtain the error term coming from the $S_2$ sum @Johan: There is a typo in your arXiv preprint in the display before (8): $\tau_3(d)$ and $\rho_2(d)$ should be squared as in my response below. Thanks for the footnote.
Jun 4	comment	How does Yitang Zhang use Cauchy’s inequality and Theorem 2 to obtain the error term coming from the $S_2$ sum @Johan: There is a typo in your arXiv preprint in the display before (8): $\tau_3(d)$ and $\rho_2(d)$ should be squared as in my response below. Thanks for the footnote.
Jun 4	accepted	How does this argument to count the cusps of $Γ_0 (N)$ work?
Jun 4	revised	Show that this ratio of factorials is always an integer edited tags
Jun 1	comment	A question on Haar measure on local field. Yes, but this is not what you originally asked. Your question involved $F^{\times 2}$ as a subset of $F^\times$ (not just as an abstract group), hence the correction factor you need (in your original equation) will also depend on the index $(F^\times:F^{\times 2})$. This, on the other hand, depends on whether $2$ is a unit in the maximal compact subring of $F$ or not. Read my response.
Jun 1	answered	How does this argument to count the cusps of $Γ_0 (N)$ work?
Jun 1	revised	A question on Haar measure on local field. deleted 108 characters in body
Jun 1	comment	A question on Haar measure on local field. @paul: Yes, the discrepancy is a uniform constant. And my response was also slightly in error, so let me update it.
Jun 1	revised	A question on Haar measure on local field. deleted 1 characters in body
Jun 1	answered	A question on Haar measure on local field.
Jun 1	accepted	determining sign of function containing logarithm.
Jun 1	revised	determining sign of function containing logarithm. added 218 characters in body
Jun 1	comment	determining sign of function containing logarithm. I answered your clarified question below. For any $m>e^e$ there is $m_0>m$ such that $f(m,n)<0$ for any $n\in(m,m_0)$.
Jun 1	comment	determining sign of function containing logarithm. @asd: I have now answered your clarified question.
Jun 1	revised	determining sign of function containing logarithm. added 187 characters in body; added 19 characters in body
Jun 1	revised	determining sign of function containing logarithm. added 185 characters in body
Jun 1	answered	determining sign of function containing logarithm.
Jun 1	comment	How does Yitang Zhang use Cauchy’s inequality and Theorem 2 to obtain the error term coming from the $S_2$ sum @i707107: Got it, thanks!
Jun 1	accepted	How does Yitang Zhang use Cauchy’s inequality and Theorem 2 to obtain the error term coming from the $S_2$ sum
Jun 1	comment	How does Yitang Zhang use Cauchy’s inequality and Theorem 2 to obtain the error term coming from the $S_2$ sum The method I outlined gives C-S precisely (note the factor 2 on the left).
Jun 1	awarded	● Nice Answer
May 31	comment	How does Yitang Zhang use Cauchy’s inequality and Theorem 2 to obtain the error term coming from the $S_2$ sum This is nice, but I think that secretly you reproduced the proof of Cauchy-Schwarz. At least one proof goes like this: $2\sum x_iy_i\leq\sum (x_i^2k^{-2}+y_i^2k^2)$. Minimmizing the right hand side in $k$ yields Cauchy-Schwarz.
May 31	revised	How does Yitang Zhang use Cauchy’s inequality and Theorem 2 to obtain the error term coming from the $S_2$ sum edited body
May 31	revised	How does Yitang Zhang use Cauchy’s inequality and Theorem 2 to obtain the error term coming from the $S_2$ sum added 2 characters in body
May 31	comment	How does Yitang Zhang use Cauchy’s inequality and Theorem 2 to obtain the error term coming from the $S_2$ sum See also the postscript in my response. Good luck to your talk!
May 31	comment	How does Yitang Zhang use Cauchy’s inequality and Theorem 2 to obtain the error term coming from the $S_2$ sum I agree. I think Zhang understood several years ago that this estimate was the one to focus on, and later he did not bother or forgot to explain it so well.
May 31	answered	How does Yitang Zhang use Cauchy’s inequality and Theorem 2 to obtain the error term coming from the $S_2$ sum
May 30	answered	An estimate of an integral
May 30	revised	An estimate of an integral edited body; edited tags
May 24	awarded	● Good Question
May 24	awarded	● Notable Question
May 24	awarded	● Popular Question
May 24	awarded	● Nice Question

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