Quadratic residue patterns, algebraic curves and a K3 surface
Quadratic residue patterns, algebraic curves and a K3 surface
Quadratic residue patterns modulo a prime are studied since 19th century. In the first part we extend existing results on the number of consecutive $\ell$-tuples of quadratic residues, studying corresponding algebraic curves and their jacobians, which happen to be products of jacobians of hyperelliptic curves. In the second part we …