Additive decompositions of large multiplicative subgroups in finite fields
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Publication:6547203
DOI10.4064/AA230330-21-2zbMATH Open1545.11009MaRDI QIDQ6547203
Publication date: 30 May 2024
Published in: Acta Arithmetica (Search for Journal in Brave)
Polynomials over finite fields (11T06) Additive bases, including sumsets (11B13) Inverse problems of additive number theory, including sumsets (11P70) Arithmetic combinatorics; higher degree uniformity (11B30)
Cites Work
- Title not available (Why is that?)
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- A superadditivity and submultiplicativity property for cardinalities of sumsets
- Cauchy-Davenport theorem in group extensions.
- Counting additive decompositions of quadratic residues in finite fields
- A conjecture of Sárközy on quadratic residues
- Gauss sums and the maximum cliques in generalized Paley graphs of square order
- Any small multiplicative subgroup is not a sumset
- On the clique number of Paley graphs of prime power order
- Difference sets are not multiplicatively closed
- On reducible and primitive subsets of \(\mathbb F_{p}\). I.
- On additive decompositions of the set of quadratic residues modulo p
- ON REDUCIBLE AND PRIMITIVE SUBSETS OF 𝔽P, II
- QUADRATIC RESIDUES AND DIFFERENCE SETS: Table 1.
- Differences of subgroups in subgroups
- Refined estimates concerning sumsets contained in the roots of unity
- On the directions determined by Cartesian products and the clique number of generalized Paley graphs
- Sumsets in quadratic residues
- Estimates for character sums with various convolutions
- NEW RESULTS ON SUM‐PRODUCT TYPE GROWTH OVER FIELDS
- Additive Decompositions of Subgroups of Finite Fields
- Additive decompositions of cubes in finite fields
- On sumsets involving \(k\)th powers of finite fields
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