A note on Nahm's conjecture in rank 2 case

作者：Huang An^*; Lee Chul Hee

来源：Communications in Number Theory and Physics, 2010, 4(4): 609-622.

The aim of this paper is to get a complete list of positive definite symmetric matrices with integer entries [a b b d] such that all complex solutions to the system of equations
1 - x(1) = x(1)(a)x(2)(b),
1 - x(2) = x(1)(b)x(2)(d)
are real. This result is related to Nahm's conjecture in rank 2 case.

• 出版日期2010