Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with reference-request
Search options not deleted
user 10365
This tag is used if a reference is needed in a paper or textbook on a specific result.
4
votes
2
answers
470
views
On the natural density of almost perfect numbers
This question is pretty basic, so I apologize in advance if it is unsuitable for MO. If so, please do let me know and I will migrate it over to MSE.
Essentially, by work of Kanold, we know that the …
2
votes
References for Yang-Mills Theory
You could start with Terence Tao's Local well-posedness of the Yang-Mills equation in the Temporal Gauge below the energy norm, available online via the arXiv.
A second paper by Tao and Gang Tian on …
2
votes
1
answer
319
views
Reference request: Research done on whether the Euler prime can be the largest factor of an ...
(Note: This was cross-posted from MSE.) I posted the following reference request in MSE three (3) days ago, but was unable to elicit any responses. I am cross-posting it to MO, hoping that it is app …
2
votes
0
answers
485
views
On Descartes / spoof odd perfect numbers
Descartes, Frenicle, and subsequently Sorli, conjectured that $k = 1$, if $N = {q^k}{n^2}$ is an odd perfect number given in Eulerian form (i.e., $q$ is prime with $q \equiv k \equiv 1 \pmod 4$ and $\ …
0
votes
Accepted
Reference Request - Sharp Estimates for a Logarithmic Sum
Rather than multiplying, we sum $\forall i \in {1, 2, \ldots \omega(N)}$ to get:
$$\sum_{j = 1}^{\omega(N)}\frac{{{q_j}^{\beta_j}}{\sigma({q_j}^{\beta_j})}}{N} \le \frac{2\omega(N)}{3}$$
Following N …
1
vote
Accepted
Existence of Solutions to an Equation Involving the Sum-of-Divisors Function [Reference Requ...
(Thanks to Luis H Gallardo for pointing out the parity condition on $n$.)
(Edited on March 12, 2015)
I was actually trying to (initially) rule out the condition $\sigma(n) = q^k$ for an odd perfect …
1
vote
0
answers
452
views
Reference Request - Jakob Weisblat's "The Search for the Odd Perfect Number" [closed]
Hi All!
I am currently trying to locate an online copy of Jakob Weisblat's paper titled "The Search for the Odd Perfect Number". I could only get hold of the abstract:
"A perfect number is a number …
1
vote
On odd perfect numbers and a GCD
Here is a conditional proof that
$$G = \gcd(\sigma(q^k),\sigma(n^2)) = i(q) = \gcd(n^2, \sigma(n^2)).$$
As derived in the OP, we have
$$G = \gcd\bigg(\frac{n^2}{i(q)}, i(q)\bigg).$$
This is e …
1
vote
On odd perfect numbers and a GCD
It turns out that
$$G \text{ is a square } \iff i(q) \text{ is a square.}$$
The proof is essentially contained in this answer to a closely related MSE question.
Thus, we have the implication
$$G \te …
1
vote
1
answer
445
views
Existence of Solutions to an Equation Involving the Sum-of-Divisors Function [Reference Requ...
Let $\sigma(x) = \sigma_1(x)$ denote the sum of all the positive divisors of $x$.
If $n \in \mathbb{N}$ is odd and $\gcd(n, \sigma(n)) = 1$, then do there exist any solutions to the following equatio …
2
votes
1
answer
655
views
Reference Request - Sharp Estimates for a Logarithmic Sum
Can anybody suggest a good (e.g. "non-technical") introduction to estimating bounds for logarithmic sums of the form
$$\sum_{i=1}^{r}{{\alpha_i}{\log(q_i)}}$$
where the $$\alpha_i$$ are positive int …
1
vote
0
answers
460
views
A question on (odd) perfect numbers
I have asked this question in MSE a few weeks back, but did not receive any responses. I have cross-posted it to MO, hoping that it is appropriate for this site.
Let $\sigma(x)$ be the (classical) s …
1
vote
1
answer
235
views
If $N = {q^k}{n^2}$ is an odd perfect number given in Eulerian form, is $n$ squarefree?
(I have asked a similar question in MSE around a week ago, but did not receive any responses. I have therefore cross-posted it to this site, hoping to get some answers.)
An odd perfect number $N$ is …
4
votes
1
answer
334
views
If $N = {q^k}{n^2}$ is an odd perfect number given in Eulerian form, is $n$ a square?
(I have asked a similar question in MSE four days ago, but did not receive any answers. I have therefore cross-posted it to this site, hoping to get some responses.)
An odd perfect number $N$ is sai …
16
votes
1
answer
2k
views
On J. T. Condict's Senior Thesis on Odd Perfect Numbers
I am trying to locate a copy of J. T. Condict's senior thesis on odd perfect numbers:
J. Condict, On an odd perfect number's largest prime divisor, Senior Thesis, Middlebury College (1978).
I am sur …