Additive combinatorics and multiplicative functions — NSF Award to University of Kentucky Research Foundation (KY, $288,480)
This project will advance fundamental mathematical knowledge by developing new tools to understand the deep connections between addition and multiplication within number systems. It bridges two major areas of pure mathematics: additive combinatorics, which studies patterns formed by adding numbers, and multiplicative n
| Award title | Additive combinatorics and multiplicative functions |
|---|---|
| Award ID | 2452462 |
| Awardee | University of Kentucky Research Foundation |
| City | LEXINGTON |
| State | KY |
| Amount obligated | $288,480 |
| Principal investigator | Xuancheng Shao |
| Program | ALGEBRA,NUMBER THEORY,AND COM, MSPA-INTERDISCIPLINARY |
| Start date | 08/15/2025 |
| Abstract | This project will advance fundamental mathematical knowledge by developing new tools to understand the deep connections between addition and multiplication within number systems. It bridges two major areas of pure mathematics: additive combinatorics, which studies patterns formed by adding numbers, and multiplicative number theory, which focuses on properties related to multiplying numbers, especially prime numbers. The PI will create novel techniques to solve complex problems where these additi |
| Source | NSF Awards |
$799/mo
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