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Intersections of shifts of multiplicative subgroups

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Publication:509058
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DOI10.1134/S0001434616070154zbMath1370.11024OpenAlexW2513804554MaRDI QIDQ509058

I. V. V'yugin, E. V. Solodkova, Ilya D. Shkredov

Publication date: 8 February 2017

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434616070154

zbMATH Keywords

finite fieldmultiplicative subgroupStepanov's method


Mathematics Subject Classification ID

Arithmetic combinatorics; higher degree uniformity (11B30)


Related Items

On the additive energy of the Heilbronn subgroup, Differences of subgroups in subgroups, A bound for the number of preimages of a polynomial mapping, Any small multiplicative subgroup is not a sumset



Cites Work

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  • Wronskians and linear independence in fields of prime characteristic
  • Fermat curves over finite fields
  • On additive decompositions of the set of primitive roots modulo \(p\)
  • Die Wronskische Determinante in beliebigen differenzierbaren Funktionenkörpern
  • On additive shifts of multiplicative subgroups
  • On additive decompositions of the set of quadratic residues modulo p
  • New bounds for Gauss sums derived from KTH powers, and for Heilbronn's exponential sum
  • Additive Decompositions of Subgroups of Finite Fields
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