𝐵_{ℎ}[𝑔]-sequences from 𝐵_{ℎ}-sequences

Bernt Lindström · Proceedings of the American Mathematical Society · 1999

A sequence A A of positive integers is called a B h [ g ] B_h[g] -sequence if every integer n n has at most g g representations n = a 1 + a 2 + ⋯ + a h ′ n=a_1+a_2+\cdots +a_{h’} with all a i a_i in A A and a 1 ≤ a 2 ≤ ⋯ ≤ a h a_1\le a_2\le \cdots \le a_h . A B h [ 1 ] B_h[1] -sequence is also called a B h B_h -sequence or Sidon sequence. The main result is the following Theorem. Let A A be a B h B_h -sequence and

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