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

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

2006-08-03

arxiv.org/abs/math/0608084v1

Mathematics

Representation Theory

70 pages

Scientific paper

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.

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