Browsing by Author "Kravitz, Noah"

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    Combinatorics with a view towards number theory

    (Princeton, NJ : Princeton University, 2025) Kravitz, Noah; Alon, Noga; Mathematics Department

    We study several problems in arithmetic combinatorics, loosely grouped around the themes of "combinatorial number theory" and "higher-order Fourier analysis". The problems related to the former theme are the Lonely Runner Problem (from Diophantine approximation), questions about minimal additive complements, and a conjecture of Graham about rearrangements of subsets of F_p^\times. The problems related to the latter theme concern quantitative bounds for some instances of the Bergelson--Leibman Theorem (about subsets of N^d avoiding polynomial progressions).