Certain Implications of the Multiplier Conjecture

K. T. Arasu1, D. L. Stewart1
1Department of Mathematics and Statistics Wright State University Dayton, Ohio 45435 USA,

Abstract

Some interesting implications of the multiplier conjecture are pointed out in this paper. We show the nonexistence of seven unknown difference sets, assuming the multiplier conjecture. If any of those difference sets is found by other means, it would, therefore, disprove the multiplier conjecture. These difference sets correspond to seven missing entries in Lander’s table.