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Sep
17 |
awarded | Nice Question |
Sep
18 |
comment |
What are all positive integers n for which the congruence $a^{n+1} \equiv a (mod n)$ holds?
so do you fix a? |
Sep
18 |
comment |
Decomposition of symmetric homogeneous polynomials
"Someone else" is most likely Krein |
Aug
31 |
awarded | Yearling |
Jun
29 |
comment |
Fixed points of $x\mapsto 2^{2^{2^{2^x}}} \mod p$
In fact, for one exponent, one can use quantitate Roth to improve the bound to p/\log\log p |
May
2 |
awarded | Scholar |
May
2 |
comment |
Modern reference request concerning Efimov's “On dyadic spaces”
Thanks a lot, Rafael! |
May
2 |
accepted | Modern reference request concerning Efimov's “On dyadic spaces” |
May
1 |
comment |
Modern reference request concerning Efimov's “On dyadic spaces”
A space $X$ is called dyadic if it is a continuous image of the space $\{0,1\}^I$ for some set $I$. Compact metric spaces and compact topological groups are among dyadic spaces. I would really appreciate if you can scan the paper for me. |
May
1 |
asked | Modern reference request concerning Efimov's “On dyadic spaces” |
Apr
12 |
awarded | Citizen Patrol |
Mar
13 |
comment |
A sumset inequality
well, with high probability random set is Sidon, so it is not surprising that the inequality holds. Have you tried looking at the extremal examples in Feiman 3n-3 theorem? |
Mar
5 |
comment |
Fourier inversion
Everything you are asking for can be found in Katznelson book on Harmonic analysis, which is I believe available online. |
Feb
14 |
comment |
$ 2|f^{'}(0)| = \sup_{z, w \in D} |f(z)-f(w)|$ if and only if $f$ is linear
Out of curiosity, would not it be simpler to give a direct proof to the fact rather than looking for the reference? |
Dec
29 |
comment |
Estimate the sum $\sum_{k=1}^n \frac{2^k}{k}$
take a look at the sum $\int_1^x(1+t+t^2+...t^{n-1})dt$ |
Dec
27 |
comment |
When is the product $(1+1)(1+4)…(1+n^2)$ a perfect square?
In fact, the first to improve Chebushev's result was Nagell (reference [4] from Cilleruelo paper), who showed that the largest prime factor of the product $\prod f(j)$ is $\ge n\log n.$ Ciruello's proof goes along Nigell's one by making the estimate precise and using computer search for small $n.$ |
Dec
22 |
comment |
cyclotomic polynomials of given degree
This arxiv.org/pdf/math/0404116v3.pdf paper of Contini, Croot and Shparlinki produces a polynomial time algorithm to compute $n$ for "almost all d" (the authors also give complexity for all $d.$) |
Dec
15 |
answered | Accurate bounds for derivatives of Legendre polynomials |
Dec
4 |
comment |
Irreducible polynomials with a root modulo almost all primes
In fact even more is true. One can prove that if $f$ is irreducible, then $f$ has roots for roughly $1/deg f$ primes. |
Nov
6 |
answered | The equation $x^m-1=y^n+y^{n-1}+…+1$ in prime powers $x,y$ |