On the number of popular differences

DOI10.1007/s11856-010-0029-6zbMath1210.11033OpenAlexW2057751510MaRDI QIDQ980505

Vsevolod F. Lev, Sergei V. Konyagin

Publication date: 29 June 2010

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-010-0029-6

zbMATH Keywords

Graham's conjecturepartition into arithmetic progressionsrepresentation as a difference

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Additive bases, including sumsets (11B13)

Related Items

On the number of popular differences in \(\mathbb{Z} / p \mathbb{Z} \) ⋮ Unnamed Item ⋮ Translation invariance in groups of prime order

Cites Work

• Unnamed Item
• Linear equations over \(\mathbb F_ p\) and moments of exponential sums.
• Structure theorem for multiple addition and the Frobenius problem
• Large sum-free sets in \(\mathbb Z/p\mathbb Z\)
• A Generalisation of the Theorem of Cauchy and Davenport
• The Rearrangement of Positive Fourier Coefficients
• On the addition of residue classes mod p
• An addition theorem modulo p