%T On the Worst Case of Three Algorithms for Computing the Jacobi Symbol %A Jeffrey Shallit %R Technical Report PCS-TR89-140 %I Dartmouth College, Computer Science %C Hanover, NH %D 1989 %U http://www.cs.dartmouth.edu/reports/TR89-140.pdf %X We study the worst-case behavior of three iterative algorithms- Eisenstein's algorithm, Lebesgue's algorithm, and the "ordinary" Jacobi symbol algorithm - for computing the Jacobi symbol. Each algorithm is similar in format to the Euclidean algorithm for computing gcd (u,v).