Corpus ID: 11163174

Automorphic ^-Functions and Functoriality

  title={Automorphic ^-Functions and Functoriality},
  author={Freydoon Shahidi},
  journal={arXiv: Number Theory},
  • F. Shahidi
  • Published 2002
  • Mathematics
  • arXiv: Number Theory
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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