Automorphic L-functions and functoriality

Details Automorphic L-functions and functoriality Automorphic L-functions and functoriality

2003-04-22

arxiv.org/abs/math/0304329v1

Proceedings of the ICM, Beijing 2002, vol. 2, 655--666

Mathematics

Number Theory

Scientific paper

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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