| dc.contributor.author | Ali, Asra | |
| dc.contributor.author | Mani, Nitya | |
| dc.date.accessioned | 2021-09-20T17:16:58Z | |
| dc.date.available | 2021-09-20T17:16:58Z | |
| dc.date.issued | 2018-01-06 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/131415 | |
| dc.description.abstract | Abstract
Using explicit constructions of the Weierstrass mock modular form and Eisenstein series coefficients, we obtain closed formulas for the generating functions of values of shifted convolution L-functions associated to certain elliptic curves. These identities provide a surprising relation between weight 2 newforms and shifted convolution L-values when the underlying elliptic curve has modular degree 1 with conductor N such that
$$\text {genus}(X_0(N)) = 1$$
genus
(
X
0
(
N
)
)
=
1
. | en_US |
| dc.publisher | Springer International Publishing | en_US |
| dc.relation.isversionof | https://doi.org/10.1007/s00013-017-1112-6 | en_US |
| dc.rights | Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. | en_US |
| dc.source | Springer International Publishing | en_US |
| dc.title | Shifted convolution L-series values for elliptic curves | en_US |
| dc.type | Article | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | |
| dc.eprint.version | Author's final manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dc.date.updated | 2020-09-24T21:09:47Z | |
| dc.language.rfc3066 | en | |
| dc.rights.holder | Springer International Publishing AG, part of Springer Nature | |
| dspace.embargo.terms | Y | |
| dspace.date.submission | 2020-09-24T21:09:47Z | |
| mit.license | PUBLISHER_POLICY | |
| mit.metadata.status | Authority Work and Publication Information Needed | |
