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arXiv math/0608084math.RTmath.NT

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

Christian Pierre

英文摘要:

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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