Asian Journal of Mathematics

Volume 24 (2020)

Number 2

Critical $L$-values for some quadratic twists of Gross curves

Pages: 257 – 266

DOI: https://dx.doi.org/10.4310/AJM.2020.v24.n2.a4

Authors

Andrzej Dąbrowski (Institute of Mathematics, University of Szczecin, Poland)

Tomasz Jędrzejak (Institute of Mathematics, University of Szczecin, Poland)

Lucjan Szymaszkiewicz (Institute of Mathematics, University of Szczecin, Poland)

Keywords

Gross curve, critical $L$-value, Birch and Swinnerton–Dyer conjecture, Tate–Shafarevich group

2010 Mathematics Subject Classification

11G05, 11G40, 11Y40

Received 26 February 2019

Accepted 22 May 2019

Published 8 September 2020