| EPSRC Reference: |
EP/V050362/1 |
| Title: |
Sumsets in sets of positive density |
| Principal Investigator: |
Robertson, Dr D |
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| Department: |
Mathematics |
| Organisation: |
University of Manchester, The |
| Scheme: |
Standard Research - NR1 |
| Starts: |
01 July 2021 |
Ends: |
30 June 2022 |
Value (£): |
20,248
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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A central theme in the mathematical field of arithmetic combinatorics is the extent to which size alone can guarantee additive structure. A typical question along these lines is: for which arithmetic patterns is it the case that any large enough collection of numbers is guaranteed to contain a copy of the pattern? The goal of the proposed research is to push towards a new and exciting result in the field: that every set of natural numbers that constitutes a positive proportion of all natural numbers contains the sum of any finite number of infinite sets.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.man.ac.uk |