Eine zahlentheoretische Anwendung der Graphentheorie.

DOI10.1515/crll.1970.243.171zbMath0199.36701OpenAlexW1854241961MaRDI QIDQ5597639

Helmut Plünnecke

Publication date: 1970

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/151032

zbMATH Keywords

density estimatesessential componentfinite basis of finite order

Mathematics Subject Classification ID

Enumeration in graph theory (05C30) Other combinatorial number theory (11B75) Additive bases, including sumsets (11B13) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (28)

Additive properties of fractal sets on the parabola ⋮ On the structure of large sum-free sets of integers ⋮ On the product decomposition conjecture for finite simple groups ⋮ A lattice point problem and additive number theory ⋮ Multidimensional lower density versions of Plünnecke's inequality ⋮ New upper bound for sums of dilates ⋮ Plünnecke inequalities for countable abelian groups ⋮ A question of Bukh on sums of dilates ⋮ Isoperimetric stability in lattices ⋮ Reverse Brunn-Minkowski and reverse entropy power inequalities for convex measures ⋮ Characterisation of Meyer sets via the Freiman-Ruzsa theorem ⋮ On the volume of the Minkowski sum of zonoids ⋮ Bounds on 10th moments of (𝑥,𝑥³) for ellipsephic sets ⋮ Plünnecke inequalities for measure graphs with applications ⋮ Erdős and the integers ⋮ Growth and expansion in algebraic groups over finite fields ⋮ Isoperimetry in integer lattices ⋮ New proofs of Plünnecke-type estimates for product sets in groups ⋮ Arithmetical progressions and the number of sums ⋮ On sums and products in \(\mathbb C[x\)] ⋮ A Plünnecke-Ruzsa inequality in compact abelian groups ⋮ Plünnecke’s Theorem for asymptotic densities ⋮ Iterated sumsets and Hilbert functions ⋮ Plünnecke's Inequality ⋮ An additive problem for powers of primes ⋮ Products of Differences over Arbitrary Finite Fields ⋮ Additive properties for sets of polynomial values ⋮ Growth in groups: ideas and perspectives

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