Hyperelliptic Continued Fractions and Generalized Jacobians: Minicourse Given by Umberto Zannier

THESE ARE NOTES from the minicourse given by Umberto Zannier (Scuola Normale Superiore di Pisa). The notes were worked out by Laura Capuano, Peter Jossen,¹ Christina Karolus, and Francesco Veneziano. Most of the material of these lectures, except for the numerical examples which were added by us, is already available in [45]. The authors wish to thank Umberto Zannier for the lively discussions in Alpbach, and Olaf Merkert for providing computations of the examples 3.17, 3.28, 3.29, 3.33, and 3.25. Let d be an integer. The Pell equation, bearing John Pell’s (1611–1685) name somewhat by mistake, is the Diophantine