Elliptic modules

The notion of elliptic module is introduced, generalizing the concept of an elliptic curve, and an analog of the theory of elliptic and modular curves is constructed. Here the role of the group $GL(2,Q)$ is played by $GL(2,k)$, where $k$ is a function field. A theorem on the coincidence of $L$-functions of modular curves and Jacquet–Langlands $L$-functions corresponding to $k$ is proved.
Bibliography: 14 titles.