Result: Some Problems in Combinatorial Number Theory

Title:
Some Problems in Combinatorial Number Theory
Authors:
Chang, Mei-Chu
Publisher Information:
Zenodo
Publication Year:
2008
Collection:
Zenodo
Document Type:
Academic journal text
Language:
unknown
Relation:
https://zenodo.org/communities/integersjournal/; https://zenodo.org/records/10084402; oai:zenodo.org:10084402; https://doi.org/10.5281/zenodo.10084402
DOI:
10.5281/zenodo.10084402
Availability:
https://doi.org/10.5281/zenodo.10084402
https://zenodo.org/records/10084402
Rights:
Creative Commons Attribution 4.0 International ; cc-by-4.0 ; https://creativecommons.org/licenses/by/4.0/legalcode
Accession Number:
edsbas.3C99A32
Database:
BASE

Further Information

We state and discuss various problems in the general area of arithmetic combinatorics and recent developments related to the 'sum-product phenomenon' in the ring of integers, the real and complex numbers and finite fields. In particular, we discuss applications and connections to the theory of exponential sums, Burgess' estimate, the subspace theorem and to SzemerediTrotter type results.