  Based upon new global class field concepts leading to Langlands
two-dimensional global correspondences,a modular representation of cusp forms
is proposed in terms of global elliptic (bisemi)modules which are (truncated)
Fourier series over R.As application,the conjectures of
Shimura-Taniyama-Weil,Birch-Swinnerton-Dyer and Riemann are analyzed.
