CEU Electronic Theses and Dissertations, 2014
| Author | Maga, Péter |
|---|---|
| Title | Subconvexity and shifted convolution sums over number fields |
| Summary | In this dissertation, we prove three results in the analytic theory of automorphic forms over arbitrary number elds. First we establish the spectral decomposition of shifted convolution sums of two irreducible cuspidal representations. Secondly, as an application of the previous one, we prove a Burgess type subconvex bound for twisted L-functions. Thirdly, we work out a semi-adelic Kuznetsov formula. |
| Supervisor | Harcos, Gergely |
| Department | Mathematics PhD |
| Full text | https://www.etd.ceu.edu/2014/maga_peter.pdf |
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