3 papers
math.NT2007
Sum-free subsets of finite abelian groups of type III
R. Balasubramanian, Gyan Prakash, D. S. Ramana
A finite abelian group of cardinality is said to be of type III if every prime divisor of is congruent to 1 modulo 3. We obtain a classification theorem for sum-free su…
math.NT2005
Asymptotic formula for sum-free sets in abelian groups
R. Balasubramanian, Gyan Prakash
Let A be a subset of a finite abelian group G. We say that A is sum-free if there is no solution of the equation x + y = z, with x, y, z belonging to the set A. Let SF(G) denotes t…
math.NT2005
Sum-free set in finite abelian groups
R. Balasubramanian, Gyan Prakash
Let A be a subset of a finite abelian group G. We say that A is sum-free if there is no solution of the equation x + y = z, with x, y, z belonging to the set A. In this paper we sh…