| dc.contributor.author | Dickson, M | en_US |
| dc.contributor.author | Pitale, A | en_US |
| dc.contributor.author | Saha, A | en_US |
| dc.contributor.author | Schmidt, R | en_US |
| dc.date.accessioned | 2019-02-13T11:26:30Z | |
| dc.date.available | 2019-02-04 | en_US |
| dc.identifier.issn | 0025-5645 | en_US |
| dc.identifier.uri | https://qmro.qmul.ac.uk/xmlui/handle/123456789/55308 | |
| dc.description.abstract | We formulate an explicit refinement of B\"ocherer's conjecture for Siegel modular forms of degree 2 and squarefree level, relating weighted averages of Fourier coefficients with special values of L-functions. To achieve this, we compute the relevant local integrals that appear in the refined global Gan-Gross-Prasad conjecture for Bessel periods as proposed by Yifeng Liu. We note several consequences of our conjecture to arithmetic and analytic properties of L-functions and Fourier coefficients of Siegel modular forms. | en_US |
| dc.publisher | Mathematical Society of Japan | en_US |
| dc.relation.ispartof | Journal of the Mathematical Society of Japan | en_US |
| dc.rights | This is a pre-copyedited, author-produced version of an article accepted for publication in Journal of the Mathematical Society of Japan following peer review. | |
| dc.subject | math.NT | en_US |
| dc.subject | math.NT | en_US |
| dc.title | Explicit refinements of Böcherer's conjecture for Siegel modular forms of squarefree level | en_US |
| dc.type | Article | |
| dc.rights.holder | © Mathematical Society of Japan 2019 | |
| pubs.notes | Not known | en_US |
| pubs.publication-status | Accepted | en_US |
| dcterms.dateAccepted | 2019-02-04 | en_US |
| rioxxterms.funder | Default funder | en_US |
| rioxxterms.identifier.project | Default project | en_US |
