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39m
revised Degree of compositeness of integer
added 3 characters in body
59m
revised Degree of compositeness of integer
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1h
revised Degree of compositeness of integer
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asked Degree of compositeness of integer
3h
revised On 'Riemann Hypothesis' in Geometric Complexity Theory using Algebraic Geometry
edited title
6h
asked On 'Riemann Hypothesis' in Geometric Complexity Theory using Algebraic Geometry
2d
comment Are there any Algebraic Geometry Theorems that were proved using Combinatorics?
I bet there is a crucial lemma or two from combinatorics when you derive bounds on AG codes or counting points on varieties on Field of characteristic $\neq0$?
2d
comment Etale cohomology approach on $\tau(n)$
posted on chat too.
2d
comment Etale cohomology approach on $\tau(n)$
sorry but could you make 'translation' in "Deligne observed that there was a nice translation of this idea into Grothendieck's cohomology theory" more explicit.
Mar
27
accepted Etale cohomology approach on $\tau(n)$
Mar
26
comment Are there any Algebraic Geometry Theorems that were proved using Combinatorics?
As I heard everything is about counting stated abstractly.
Mar
26
comment Etale cohomology approach on $\tau(n)$
"Qiaochu Yuan says Consider also the following heuristic argument. The pentagonal number theorem in fact lets us write $τ(n−1)$ as a sum of $O(n^{12})$ signs. Assume that these signs are randomly distributed. Then one expects their sum to have absolute value $O(n^6)$ by a straightforward variance calculation. This is the same sort of argument that correctly suggests that Gauss sums should have absolute value around $\sqrt{p}$. But in fact Ramanujan's conjecture is better than this by a factor of $\sqrt{n}$. I don't know where this extra savings comes from even heuristically."
Mar
26
comment Etale cohomology approach on $\tau(n)$
So this is not case of mysterious cancellations improving on random averaging argumentation?
Mar
26
comment Etale cohomology approach on $\tau(n)$
"Langlands observed that knowledge of the poles of symmetric power L-functions attached to Δ would be sufficient to conclude that |τ(p)|≤2p11/2, and Deligne observed that there was a nice translation of this idea into Grothendieck's cohomology theory" Is there a way to make this more explicit?
Mar
25
asked Etale cohomology approach on $\tau(n)$
Mar
23
comment Factorization of antiderivative of minimal polynomials
@rickkenyon motivation?
Mar
23
comment On ranks of matrix products
so you are considering a block diagonal matrix? ok.
Mar
23
comment On ranks of matrix products
sorry what is $\oplus$ here? directsummation?
Mar
23
asked On ranks of matrix products
Mar
23
comment addition chains for products of relatively prime factors
Suitable on cstheory perhaps?