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visits | member for | 1 year, 11 months |
seen | 8 mins ago | |
stats | profile views | 7,981 |
May 26 |
comment |
On the number of consecutive divisors of an integer
@CaptainDarling: Note it's $\exp(-(\log z)^{2+o(1)})$, not like $\exp(-z^2/2)$ (Gaussian). I don't expect it to be anything nice. |
May 26 |
answered | Radial limit does not exist almost everywhere |
May 26 |
answered | On the number of consecutive divisors of an integer |
May 26 |
reviewed | Close If $q^k n^2$ is an odd perfect number with Euler prime $q$, are the following statements known to hold in general? |
May 26 |
comment |
Radial limit does not exist almost everywhere
Note that almost every real number $\theta$ will have the property that its binary expansion will have arbitrarily long strings of zeros. Now suppose $N$ is such that $\Vert 2^N \theta \Vert \le 2^{-h}$, and consider $f(e^{-1/2^N} e^{2\pi i\theta})$ and $f(e^{-1/2^{N+h}} e^{2\pi i \theta})$. They should differ by $\gg h$, showing that radial limits don't exist. |
May 25 |
reviewed | No Action Needed Is there any topological information encoded by the zero locus of a complex Hessian? |
May 25 |
reviewed | No Action Needed Meager subgroups of compact groups |
May 25 |
reviewed | Leave Open Numbers represented by inhomogeneous forms |
May 23 |
reviewed | Close $\mathcal S'(\mathbb R^d)$ is separable |
May 22 |
reviewed | Leave Closed What questions should -ologists of mathematics ask, in order to improve maths researcher training? |
May 20 |
reviewed | Leave Open Resolvent operator of fractional Laplacian |
May 19 |
comment |
Non-standard Gauss sums
Yes indeed! I forgot about my comment! |
May 19 |
comment |
Non-standard Gauss sums
Isn't Elkies's answer about ruling out the maximal size $2\sqrt{p}$ for Kloosterman sums, rather than zero? |
May 19 |
reviewed | No Action Needed Upper bound of the waiting time of a sum process |
May 17 |
reviewed | Leave Closed What are some examples of colorful language in serious mathematics papers? |
May 16 |
comment |
A question on the bounds of the $n$-th composite $c_n$
@user170039: It looks like I was right the first time, and miscalculated the second time. I agree with Gerhard Paseman's answer below, and your question is indeed closely related to the (wrong) Hardy-Littlewood conjecture. |
May 15 |
comment |
Important open problems that have already been reduced to a finite but infeasible amount of computation
Konyagin not Kolyvagin |
May 15 |
reviewed | Close How can we solve the TSP problem using game theory? |
May 15 |
reviewed | Approve Last term of repeating continued fraction expansion |
May 15 |
awarded | Reviewer |