On additive decompositions of the set of primitive roots modulo \(p\)

DOI10.1007/s00605-011-0360-yzbMath1287.11119OpenAlexW1992403957MaRDI QIDQ1942322

Cécile Dartyge, András Sárközy

Publication date: 18 March 2013

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-011-0360-y

zbMATH Keywords

primitive rootsadditive decompositionsumsetinverse theorem

Mathematics Subject Classification ID

Inverse problems of additive number theory, including sumsets (11P70) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (11)

Additive decompositions of sets with restricted prime factors ⋮ СУММЫ ХАРАКТЕРОВ НА СДВИНУТЫХ СТЕПЕНЯХ ⋮ On additive decompositions of primitive elements in finite fields ⋮ On sumsets involving \(k\)th powers of finite fields ⋮ On the reducibility of large sets of residues modulo \(p\) ⋮ Differences of subgroups in subgroups ⋮ Counting additive decompositions of quadratic residues in finite fields ⋮ Intersections of shifts of multiplicative subgroups ⋮ Any small multiplicative subgroup is not a sumset ⋮ Difference sets are not multiplicatively closed ⋮ The sum of digits function in finite fields

Cites Work

• A superadditivity and submultiplicativity property for cardinalities of sumsets
• Equations over finite fields. An elementary approach
• On additive decompositions of the set of quadratic residues modulo p
• The inverse Goldbach problem
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