Impact
~4k
people reached
- 0 posts edited
- 0 helpful flags
- 11 votes cast
May
14 |
revised |
Low height integer points on a rank variety
added 62 characters in body |
May
14 |
comment |
Low height integer points on a rank variety
Yes, and it may also depend on the size of the matrices. |
May
13 |
asked | Low height integer points on a rank variety |
Sep
24 |
awarded | Autobiographer |
Aug
23 |
awarded | Yearling |
Aug
17 |
awarded | Nice Question |
Jul
2 |
awarded | Curious |
May
5 |
asked | Cassels-Birch-Davenport theorem for multiple quadratic forms of certain type |
Apr
22 |
revised |
Maximal $k$-chordal subgraph
the answer for the last question is NO |
Apr
22 |
asked | Maximal $k$-chordal subgraph |
Apr
9 |
comment |
Find minimal set of progressions which intersections, unions or negations covers given set
What if you take a set with no 3-term APs? There are known examples when such a set is fairly big. |
Apr
9 |
comment |
Uniform bound for the number primes $p$ s.t. a polynomial has a root modulo $p$
Thanks a lot. So I accept your answer as now I can safely say that without GRH the problem is hard and wide open. |
Apr
9 |
accepted | Uniform bound for the number primes $p$ s.t. a polynomial has a root modulo $p$ |
Apr
9 |
comment |
Uniform bound for the number primes $p$ s.t. a polynomial has a root modulo $p$
Correct me if I am wrong but it seems that the unconditional version of the Chebotaryov density is just not strong enough to provide the desired bound (and the conditional version does give it), since the power beta goes to 1 as N is large. |
Apr
9 |
asked | Uniform bound for the number primes $p$ s.t. a polynomial has a root modulo $p$ |
Feb
10 |
comment |
Number of solutions of linear homogenous Diophantine equation inside a box
Thanks for the nice answer. In fact, it works for all boxes larger than some constant which depend only on $d$ and $c$, which is important since in my case $a_i$ may depend on $N$ but not on the dimension and $c$. |
Feb
10 |
accepted | Number of solutions of linear homogenous Diophantine equation inside a box |
Feb
10 |
comment |
Number of solutions of linear homogenous Diophantine equation inside a box
What do you mean by averaging? since the equation is homogeneous one can of course assume that $a_i$ sum up to $1$. |
Feb
8 |
comment |
Number of solutions of linear homogenous Diophantine equation inside a box
Thanks, but after a quick look it seems that they always assume the coefficients are at least rational, don't they? |
Feb
7 |
asked | Number of solutions of linear homogenous Diophantine equation inside a box |