- Bib ID:
- 3284409
- Format:
- Book and Microform
- Author:
- Venkatesh, Akshay
- Description:
- 168 p.
- ISBN:
- 0493783695
- Summary:
-
We carry out the first nontrivial cases of the limiting process proposed by Langlands in his manuscript Beyond Endoscopy, with technical variations that enable us to treat the limit unconditionally. This gives an elementary proof, on GL(2), of the classification of forms such that the symmetric square L-function has a pole (including, implicitly, the construction of these forms). The result of this may be seen as one of the simplest cases of the "pipe-dream" Langlands proposes. We also apply similar methods to derive a converse theorem, and to produce a result that generalizes Duke's estimate on the dimension of weight 1 forms to arbitrary number fields--but is sharper, even over Q , than Duke's original estimate.
- Notes:
-
- (UnM)AAI3062525
- Source: Dissertation Abstracts International, Volume: 63-08, Section: B, page: 3753.
- Adviser: Peter Sarnak.
- Thesis (Ph.D.)--Princeton University, 2002.
- Reproduction:
- Microfiche. Ann Arbor, Mich.: University Microfilms International.
- Subject:
- Mathematics
- Other authors/contributors:
- Princeton University
- Copyright:
-
In Copyright
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Copyright status was determined using the following information:
- Material type:
- Literary Dramatic Musical
- Published status:
- Unpublished
- Creation date:
- 2002
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