Sumsets in quadratic residues

• Autorzy: I. D. Shkredov
• Języki publikacji: EN

Abstrakty

EN

We describe all sets $A ⊆ 𝔽_p$ which represent the quadratic residues $R ⊆ 𝔽_p$ in the sense that R = A + A or R = A ⨣ A. Also, we consider the case of an approximate equality R ≈ A + A and R ≈ A ⨣ A and prove that A is then close to a perfect difference set.

Kategorie tematyczne

• 11B75: Other combinatorial number theory
• 11B13: Additive bases, including sumsets
• 11B50: Sequences (mod m )

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2014
• Tom: 164
• Numer: 3
• Strony: 221-243

Daty

wydano

2014

Twórcy

autor

I. D. Shkredov

• Division of Algebra and Number Theory, Steklov Mathematical Institute, Gubkina St. 8, Moscow, Russia 119991
• Delone Laboratory of Discrete and Computational Geometry, Yaroslavl' State University, Sovetskaya St. 14, Yaroslavl', Russia 150000

Identyfikatory

DOI

10.4064/aa164-3-2