Oblivious signature ensures users select from the specified candidates. However, users can choose only one candidate. This paper proposes a generalized oblivious signature scheme with proxy function. The scheme can be applied to many applications such as multichoice e-voting or e-lottery. Since there have been many applied research studies on e-voting, in this paper, we decided to apply this scheme to e-lottery, which is fair, secure, efficient, multiselect, and agent-based. In the lottery system, the server cannot cheat after a user makes a choice, and no one even the proxy can get any benefits. The signature scheme along with the lottery system is proved secure in the random oracle model. The lottery system is also implemented on Android smartphones. To the best of our knowledge, this is the first work done on a generalized proxy oblivious signature along with a fair and secure multiple-choice e-lottery system.