Difference sets and positive exponential sums. I: General properties

DOI10.1007/s00041-013-9299-9zbMath1354.11017arXiv1207.1781OpenAlexW2002590457MaRDI QIDQ485211

Imre Z. Ruzsa, Máté Matolcsi

Publication date: 9 January 2015

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.1781

zbMATH Keywords

difference setsDelsarte's constantpositive exponential sums

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Sequences (mod (m)) (11B50) Inverse problems of additive number theory, including sumsets (11P70)

Related Items (6)

On the existence of flat orthogonal matrices ⋮ Delsarte’s extremal problem and packing on locally compact Abelian groups ⋮ Difference sets and positive exponential sums. II: Cubic residues in cyclic groups ⋮ Finite projective planes and the Delsarte LP-bound ⋮ An Improvement on the Delsarte-Type LP-Bound with Application to MUBs ⋮ Dual bounds for the positive definite functions approach to mutually unbiased bases

Uses Software

• LPbook

Cites Work

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• Turán's extremal problem on locally compact abelian groups
• Ruzsa's problem on sets of recurrence
• Counting sets with small sumset, and the clique number of random Cayley graphs
• TURÁN'S EXTREMAL PROBLEM FOR POSITIVE DEFINITE FUNCTIONS ON GROUPS
• Linear problems in combinatorial number theory
• New upper bounds on the rate of a code via the Delsarte-MacWilliams inequalities
• Repeated communication and Ramsey graphs
• On a combinatorial conjecture of Erdös
• Linear programming. Foundations and extensions
• On the optimum of Delsarte's linear program

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