An L-algebraic number is a number θ element (0, 1) which satisfies sum_(k = 0)^n c_k L(θ^k) = 0, where L(x) is the Rogers L-function and c_k are integers not all equal to 0. Loxton gives a slew of similar identities having rational coefficients sum_(k = 0)^n e_k/k L(θ^k) = 0 instead of integers.

dilogarithm | Rogers L-function | Watson's identities