Tricki
a repository of mathematical know-how
Add article
Navigate
Tags
Search
Forums
Help
Top level
›
Different kinds of Tricki article
›
Front pages for different areas of mathematics
›
Combinatorics front page
View
Edit
Revisions
Additive combinatorics front page
Title:
*
Area of mathematics:
*
A comma-separated list of areas of mathematics to which this article applies. Use ">" to tag in a subcategory. Example: Analysis > Harmonic analysis, Combinatorics
Keywords:
A comma-separated list of keywords associated with this article. Example: free group
Used in:
A comma-separated list of examples of where this technique is used. Example: Cauchy-Schwarz inequality
Parent articles:
Order
-1
0
1
-1
0
1
Body:
[QUICK DESCRIPTION] Additive combinatorics is a difficult area to define. The basic object of study could be said to be finite subsets of Abelian groups, but the subject is characterized more by its techniques than by its subject matter. These techniques are a blend of ideas from combinatorics, harmonic analysis, ergodic theory, and analytic number theory. [note article incomplete] This page has a long way to go, but isn't quite a stub any more. [/note] [[If your problem can be expressed in terms of convolutions and inner products then take the Fourier transform]] [[If a result is true for random-like sets and true for structured sets, then it may well be true for all sets]] [[Important counterexamples in additive combinatorics]]
This is a stub
A stub is an article that is not sufficiently complete to be interesting.
Notifications
File attachments
Changes made to the attachments are not permanent until you save this post. The first "listed" file will be included in RSS feeds.
Attach new file:
Images are larger than
640x480
will be resized. The maximum upload size is
1 MB
. Only files with the following extensions may be uploaded:
jpg jpeg gif png svg
.
Revision information
Log message:
An explanation of the additions or updates being made to help other authors understand your motivations.
Search this site:
Recent articles
View a list of all articles.
Littlewood-Paley heuristic for derivative
Geometric view of Hölder's inequality
Diagonal arguments
Finding an interval for rational numbers with a high denominator
Try to prove a stronger result
Use self-similarity to get a limit from an inferior or superior limit.
Prove a consequence first
Active forum topics
Plenty of LaTeX errors
Tutorial
A different kind of article?
Countable but impredicative
Tricki Papers
more
Recent comments
I don't think this statement
choice of the field
Incorrect Image
Article classification
Higher dimensional analogues
more