Distribution of residues in approximate subgroups of 𝔽_{𝕡}*

DOI10.1090/S0002-9939-2011-10866-9zbMath1262.11042arXiv1207.2648OpenAlexW2907222540MaRDI QIDQ5388779

François Hennecart, Norbert Hegyvári

Publication date: 20 April 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.2648

zbMATH Keywords

uniform distributionmultiplicative subgroupsapproximate subgroupadditive conbinatorics

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Finite fields and commutative rings (number-theoretic aspects) (11T99) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items

Double exponential sums with exponential functions ⋮ Note on character sums of Hilbert cubes

Cites Work

• Unnamed Item
• Unnamed Item
• Some remarks on multilinear exponential sums with an application
• On the distribution of the residues of small multiplicative subgroups of \(\mathbb F_p\)
• ON THE SOLVABILITY OF BILINEAR EQUATIONS IN FINITE FIELDS
• On sumsets of dissociated sets
• Explicit constructions of extractors and expanders
• Mordell’s exponential sum estimate revisited
• Freiman's theorem in an arbitrary abelian group
• On sums and products of residues modulo p
• ESTIMATES FOR THE NUMBER OF SUMS AND PRODUCTS AND FOR EXPONENTIAL SUMS IN FIELDS OF PRIME ORDER