# Timothy Foo

 865 Reputation 513 views

## Registered User

 Name Timothy Foo Member for 1 year Seen May 10 at 2:56 Website Location Age
 Dec10 revised Analogues of Jacobsthal’s functiongrammar Dec10 revised Analogues of Jacobsthal’s functioncorrected a statement Dec10 comment Analogues of Jacobsthal’s functionGerhard, I'd eagerly await the follow ups you've mentioned regarding this answer, as well as the remarks you mention on the arXiv preprint which inspired your post. Thank you! Dec10 revised Analogues of Jacobsthal’s functionadded a detailed update Dec7 revised Which integer polynomials represent fewer primes, in terms of order of magnitude, when shifted by a constant integer?elaborated on second question Dec6 comment Average orders of multiplicative functionsHi Daniel, interesting question. It seems that at least one nice thing that can be said is that the primes in such a multiplicatively closed set must have zero density in the primes. This would be due to Theorem 1 of this paper (arxiv.org/abs/1110.0708) of Moree, and also from this MO question (mathoverflow.net/questions/94543/…), Density of a set of integers. Wonder exactly how sparse they have to be, though. Dec5 revised Which integer polynomials represent fewer primes, in terms of order of magnitude, when shifted by a constant integer?improved the condition Dec4 revised Which integer polynomials represent fewer primes, in terms of order of magnitude, when shifted by a constant integer?fixed latex Dec3 comment Which integer polynomials represent fewer primes, in terms of order of magnitude, when shifted by a constant integer?Hi @js, and thanks for your comment. It indeed seems elusive. And from the comments in the first question linked to here, it seems that even the question of which integers are represented by multivariate polynomials is not all that straightforward... Dec3 asked Which integer polynomials represent fewer primes, in terms of order of magnitude, when shifted by a constant integer? Nov28 answered Examples of statements that provably can’t be proved using a promising looking method Nov28 answered Monic polynomial with integer coefficients with roots on unit circle, not roots root of unity?