%0 Journal Article %T Quantum walks and elliptic integrals %A Norio Konno %J Mathematics %D 2009 %I arXiv %X Polya showed in his 1921 paper that the generating function of the return probability for a two-dimensional random walk can be written in terms of an elliptic integral. In this paper we present a similar expression for a one-dimensional quantum walk. %U http://arxiv.org/abs/0912.4678v3