From global class field concepts and modular representations to the conjectures of Shimura-Taniyama-Weil,Birch-Swinnerton-Dyer and Riemann

Abstract

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.

arXiv comment70 pages

References in corpus (2)

• Algebraic quantum theory
• n-Dimensional global correspondences of Langlands

Cited by in corpus (4)

• GL(2)-structures of the Langlands global program
• The Goldbach conjecture resulting from global-local cuspidal representations and deformations of Galois representations
• Random matrices and Riemann hypothesis
• Generalized modular forms including the weak Maass forms,the Ramanujan's Theta functions and the Tau function