On sum sets of sidon sets, I

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Abstract

A (finite or infinite) set A of positive integers is said to be a Sidon set if the sums a + a′ with a ∈ A, a′ ∈ A, a ≤ a′ are distinct. Denote the sum set A + A of a Sidon set A by JA = {s1, s2, …}. The size of the gaps si + 1 - si, the length of the blocks of consecutive integers in JA, and the number of solutions of s ≤ n, s - d ∉ A, s ∈ A are studied.

Original languageEnglish
Pages (from-to)329-347
Number of pages19
JournalJournal of Number Theory
Volume47
Issue number3
DOIs
Publication statusPublished - Jun 1994

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ASJC Scopus subject areas

  • Algebra and Number Theory

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