Eric Naslund
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 Apr 21 awarded Nice Answer Apr 14 awarded Favorite Question Apr 6 awarded Nice Answer Apr 6 awarded Necromancer Apr 6 answered 3-7 primes in base 10 Feb 1 revised The Bourgain-Demeter-Guth breakthrough and the Riemann zeta function? deleted 6 characters in body Feb 1 revised The Bourgain-Demeter-Guth breakthrough and the Riemann zeta function? added 79 characters in body Feb 1 awarded Revival Feb 1 answered The Bourgain-Demeter-Guth breakthrough and the Riemann zeta function? Jan 19 awarded Nice Answer Jan 19 comment A possibly surprising appearance of Fibonacci numbers @ClarkKimberling I've noticed that you've asked a lot of questions (24), but never accepted any answers. On the questions that you ask, for answer there is a small check mark underneath the up and down arrows for that answer. If someone answered one of your questions satisfactorily, you can click on the small check mark underneath the downarrow for that answer, and it will turn green. This marks the chosen answer as "accepted" and marks the question as having an accepted answer. It also rewards the user who answered your question. Jan 19 revised When does this interesting sum diverge? added 17 characters in body Jan 19 answered When does this interesting sum diverge? Jan 12 awarded Yearling Dec 10 comment The Bourgain-Demeter-Guth breakthrough and the Riemann zeta function? The short answer is that there will be no qualitative change to the error term in the prime number theorem. The best possible quantitative bounds for the mean value theorem can only change the constant in the Korobov-Vinogradov zero free region, that is the constant $c$ in $$\pi(x)=\text{li}(x)+O\left(x\exp\left(c\log(x)^{3/5}(\log \log x)^{-1/5}\right)\right).$$ Dec 4 comment Almost primes in short intervals In the future, don't post identical questions on both MathOverflow and Math.Stackexchange within a 24 hour period. math.stackexchange.com/questions/1558632/… It is best to wait a couple of days to see if someone will answer on MSE before reposting it here. Nov 10 comment On the mixed sum of three k-th powers @StefanKohl: That heuristic is not accurate as $x,y$ and $z$ can take negative values. Other than using congruence's, it's not clear how to determine whether or not $n$ has infinitely many representations of the form $n=x^5+y^5+z^5$. Nov 10 comment On the mixed sum of three k-th powers Regarding zero density - can one even show that $x^{n}+y^{m}$ has zero density for any $n\neq m\geq 1$, not both even? Nov 3 awarded Nice Question Oct 29 comment Subsets of [1..N] with no three-term arithmetic progressions and no large gaps To be precise, and to eliminate trivial examples such as a set containing just a single point, we should include the wrap around gap. Say $l,s\in S$ are the largest and smallest elements in $S$ respectively, then include the gap $N-l+s$.