Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772487 | Journal of Number Theory | 2018 | 22 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Goran DjankoviÄ, Rizwanur Khan,