An update on the sum-product problem
From MaRDI portal
Publication:5097479
DOI10.1017/S0305004121000633OpenAlexW3207409983MaRDI QIDQ5097479
Sophie Stevens, Michael Rudnev
Publication date: 24 August 2022
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.11145
Other combinatorial number theory (11B75) Additive bases, including sumsets (11B13) Arithmetic combinatorics; higher degree uniformity (11B30)
Related Items
Expanders on matrices over a finite chain ring, I ⋮ A sum-bracket theorem for simple Lie algebras ⋮ Query complexity and the polynomial Freiman-Ruzsa conjecture
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On sums of Szemerédi-Trotter sets
- New results on sums and products in \(\mathbb{R}\)
- Extremal problems in discrete geometry
- Bounding multiplicative energy by the sumset
- On sum sets of sets having small product set
- Some remarks on the Balog-Wooley decomposition theorem and quantities \(D^+\), \(D^\times\)
- On the energy variant of the sum-product conjecture
- On the few products, many sums problem
- On popular sums and differences for sets with small multiplicative doubling
- The distribution of integers with a divisor in a given interval
- A note on sum-product estimates
- Some new results on higher energies
- A low-energy decomposition theorem
- On Additive Doubling and Energy
- On Sumsets of Convex Sets
- On the number of sums and products
- On discrete values of bilinear forms
- Stronger sum-product inequalities for small sets
- On higher energy decompositions and the sum–product phenomenon
- Variations on the Sum-Product Problem
- Variations on the Sum-Product Problem II
- Few sums, many products
- On sums and products of integers
