Uniform subconvexity and symmetry breaking reciprocity
| Autor: | Rizwanur Khan, Valentin Blomer |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Pure mathematics
Mathematics - Number Theory 010102 general mathematics 01 natural sciences Fourth moment Reciprocity (electromagnetism) 0103 physical sciences FOS: Mathematics Number Theory (math.NT) 010307 mathematical physics Symmetry breaking 0101 mathematics Analysis Eigenvalues and eigenvectors Mathematics |
| Zdroj: | Journal of Functional Analysis. 276:2315-2358 |
| ISSN: | 0022-1236 |
| DOI: | 10.1016/j.jfa.2018.11.009 |
| Popis: | A non-symmetric reciprocity formula is established that expresses the fourth moment of automorphic L-functions of level q and primitive central character twisted by the l-th Hecke eigenvalue as a twisted mixed moment of automorphic L-functions of level l and trivial central character. As an application, uniform subconvexity bounds for L-functions in the level and the eigenvalue aspect are derived. Comment: 30 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect