## Title data

Stoll, Michael ; Yang, Tonghai:

**On the L-function of the curves y² = x⁵ + A.**

*In:* Journal of the London Mathematical Society.
Vol. 68
(2003)
Issue 2
.
- pp. 273-287.

ISSN 1469-7750

DOI: https://doi.org/10.1112/S0024610703004460

## Abstract in another language

Let CA/Q be the curve y^2 = x^5 + A, and let L(s, J_A) denote the L-series of its Jacobian. Under the assumption that the sign in the functional equation for L(s, J_A) is +1, the critical value L(1, J_A) is evaluated in terms of the value of a theta series for Q(sqrt(5)) depending on A at a complex multiplication point coming from Q(ζ5).

## Further data

Item Type: | Article in a journal |
---|---|

Refereed: | Yes |

Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II (Computer Algebra) Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II (Computer Algebra) > Chair Mathematics II (Computer Algebra) - Univ.-Prof. Dr. Michael Stoll Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics |

Result of work at the UBT: | No |

DDC Subjects: | 500 Science > 510 Mathematics |

Date Deposited: | 03 Feb 2015 07:17 |

Last Modified: | 26 Jul 2022 11:20 |

URI: | https://eref.uni-bayreuth.de/id/eprint/6222 |