On the Thickness of Infinite Generalized Sidon Sets, II

2026/07/26 by Kevin O'Bryant
Mathematics · #math.CO #math.NT

paper · pdf

Abstract

A set A of nonnegative integers is a B_h-set if the sums a₁+⋯+a_h with a₁≤⋯≤ a_h and a_i\inA are distinct; a B₂-set is a Sidon set. We prove that for every even h and every B_h-set A, \liminf_n→∞ \frac | A∩[0,n) | √[h]n/log n ≤ (\fracπlog 2 ⋅ \fracΓ(1+h/2)²Γ(1+1/h)^h)^1/h.

Citations

• On the Thickness of Infinite Generalized Sidon Sets, I

Cited by

• On the Thickness of Infinite Generalized Sidon Sets, I

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