@TechReport{Dartmouth:TR89-140, author = {Jeffrey Shallit}, title = {{On the Worst Case of Three Algorithms for Computing the Jacobi Symbol}}, institution = {Dartmouth College, Computer Science}, address = {Hanover, NH}, number = {PCS-TR89-140}, year = {1989}, URL = {http://www.cs.dartmouth.edu/reports/TR89-140.pdf}, abstract = { 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). } }