Timothy Foo

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Name Timothy Foo
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Dec
10
revised Analogues of Jacobsthal’s function
grammar
Dec
10
revised Analogues of Jacobsthal’s function
corrected a statement
Dec
10
comment Analogues of Jacobsthal’s function
Gerhard, 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!
Dec
10
revised Analogues of Jacobsthal’s function
added a detailed update
Dec
7
revised Which integer polynomials represent fewer primes, in terms of order of magnitude, when shifted by a constant integer?
elaborated on second question
Dec
6
comment Average orders of multiplicative functions
Hi 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.
Dec
5
revised Which integer polynomials represent fewer primes, in terms of order of magnitude, when shifted by a constant integer?
improved the condition
Dec
4
revised Which integer polynomials represent fewer primes, in terms of order of magnitude, when shifted by a constant integer?
fixed latex
Dec
3
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...
Dec
3
asked Which integer polynomials represent fewer primes, in terms of order of magnitude, when shifted by a constant integer?
Nov
28
answered Examples of statements that provably can’t be proved using a promising looking method
Nov
28
answered Monic polynomial with integer coefficients with roots on unit circle, not roots root of unity?