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https://research.matf.bg.ac.rs/handle/123456789/901
Title: | A conjecture for the regularized fourth moment of Eisenstein series | Authors: | Đanković, Goran Khan, Rizwanur |
Affiliations: | Algebra and Mathematical Logic | Keywords: | Automorphic forms;Eisenstein series;Equidistribution;L-functions;L -norm 4;Quantum chaos;Random wave conjecture;Regularized inner products | Issue Date: | 1-Jan-2018 | Journal: | Journal of Number Theory | Abstract: | We formulate a version of the Random Wave Conjecture for the fourth moment of Eisenstein series which is based on Zagier's regularized inner product. We prove an asymptotic formula expressing the regularized fourth moment as a mean value of L-functions. This is an advantage over previous work in the literature, which has approached the fourth moment problem through truncated Eisenstein series and not yielded a suitable expression in terms of L-functions. |
URI: | https://research.matf.bg.ac.rs/handle/123456789/901 | ISSN: | 0022314X | DOI: | 10.1016/j.jnt.2017.06.012 |
Appears in Collections: | Research outputs |
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