Published September 12, 2017
| Version Submitted
Discussion Paper
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Nonstandard Methods in Ramsey Theory and Combinatorial Number Theory
Abstract
The goal of this present manuscript is to introduce the reader to the nonstandard method and to provide an overview of its most prominent applications in Ramsey theory and combinatorial number theory.
Additional Information
The collaboration between the authors first began when they participated in an American Institute of Mathematics (AIM) Structured Quartet Research Ensemble (or SQuaRE) program together with Renling Jin, Steven Leth, and Karl Mahlburg. We thus want to thank AIM for all of their support during our three year participation in the SQuaRE program as well as their encouragement to organize a larger workshop on the subject. A preliminary version of this manuscript was distributed during that workshop and we want to thank the participants for their valuable comments. In particular, Steven Leth and Terence Tao gave us a tremendous amount of feedback and for that we want to give them an extra expression of gratitude.Attached Files
Submitted - 1709.04076.pdf
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1709.04076.pdf
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Additional details
Identifiers
- Eprint ID
- 85714
- Resolver ID
- CaltechAUTHORS:20180410-085158733
Related works
- Describes
- https://arxiv.org/abs/1709.04076 (URL)
Dates
- Created
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2018-04-10Created from EPrint's datestamp field
- Updated
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2023-06-02Created from EPrint's last_modified field