Automorphic L-functions and functoriality

Freydoon Shahidi

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arXiv · math/0304329

Automorphic L-functions and functoriality

Freydoon Shahidi

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Abstract

This is a report on the global aspects of the Langlands-Shahidi method which in conjunction with converse theorems of Cogdell and Piatetski-Shapiro has recently been instrumental in establishing a significant number of new and surprising cases of Langlands Functoriality Conjecture over number fields. They have led to striking new estimates towards Ramanujan and Selberg conjectures.

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Freydoon Shahidi. 2003-04-22. Automorphic L-functions and functoriality. https://arxiv.org/abs/math/0304329

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