ON SUM SETS OF SIDON SETS .1.

[摘要] A (finite or infinite) set A of positive integers is said to be a Sidon set if the sums a + a' with a is-an-element-of A, a' is-an-element-of A, a less-than-or-equal-to a' are distinct. Denote the sum set A + A of a Sidon set A by J(A) = {s1, s2, ...}. The size of the gaps s(i+1) - s(i), the length of the blocks of consecutive integers in J(A), and the number of solutions of s less-than-or-equal-to n, s - d is-an-element-of A, s is-an-element-of A are studied. (C) 1994 Academic Press, Inc.

[发布日期] 1994-06-01