493 reputation
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bio website chalmers.se/en/staff/Pages/…
location Göteborg, Sweden
age
visits member for 2 years, 11 months
seen Jul 3 at 17:10

I'm a PhD student at Chalmers University of Technology. I'm interested in arithmetic combinatorics and discrete probability.


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