Sum-product type estimates for subsets of finite valuation rings

DOI10.4064/aa170418-12-12zbMath1440.11009arXiv1701.08101OpenAlexW2964023360WikidataQ129739840 ScholiaQ129739840MaRDI QIDQ4963271

Esen Aksoy Yazici

Publication date: 1 November 2018

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.08101

zbMATH Keywords

graphsum-productfinite valuation ring

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (6)

Covering sumsets of a prime field and class numbers ⋮ Expanders on matrices over a finite chain ring, I ⋮ On three-variable expanders over finite valuation rings ⋮ Moderate expanders over rings ⋮ Four-variable expanders over the prime fields ⋮ A note on sum-product estimates over finite valuation rings

Cites Work

• New sum-product type estimates over finite fields
• Bounding multiplicative energy by the sumset
• Some combinatorial number theory problems over finite valuation rings
• An Improved Sum–Product Inequality in Fields of Prime Order
• The sum-product phenomenon in arbitrary rings

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