Cha, Byungchul; Fiorilli, Daniel; Jouve, Florent Prime number races for elliptic curves over function fields. (Bias de Chebyshev pour les courbes elliptiques sur les corps de fonctions.) (English. French summary) Zbl 1367.11085 Ann. Sci. Éc. Norm. Supér. (4) 49, No. 5, 1239-1277 (2016); erratum ibid. 54, No. 5, 1353-1362 (2021). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11T55 11M41 11N13 11G05 PDF BibTeX XML Cite \textit{B. Cha} et al., Ann. Sci. Éc. Norm. Supér. (4) 49, No. 5, 1239--1277 (2016; Zbl 1367.11085) Full Text: DOI arXiv Link OpenURL
Pomerance, Carl; Shparlinski, Igor E. Rank statistics for a family of elliptic curves over a function field. (English) Zbl 1200.14060 Pure Appl. Math. Q. 6, No. 1, 21-40 (2010). Reviewer: Vasyl I. Andriychuk (Lviv) MSC: 14H52 14H05 11N25 11R37 PDF BibTeX XML Cite \textit{C. Pomerance} and \textit{I. E. Shparlinski}, Pure Appl. Math. Q. 6, No. 1, 21--40 (2010; Zbl 1200.14060) Full Text: DOI arXiv OpenURL
Berger, Lisa Towers of surfaces dominated by products of curves and elliptic curves of large rank over function fields. (English) Zbl 1204.11098 J. Number Theory 128, No. 12, 3013-3030 (2008). MSC: 11G40 11G05 11R58 PDF BibTeX XML Cite \textit{L. Berger}, J. Number Theory 128, No. 12, 3013--3030 (2008; Zbl 1204.11098) Full Text: DOI OpenURL
Ulmer, Douglas \(L\)-functions with large analytic rank and abelian varieties with large algebraic rank over function fields. (English) Zbl 1110.11019 Invent. Math. 167, No. 2, 379-408 (2007). Reviewer: Noriko Yui (Kingston) MSC: 11G40 14G05 11G05 11G10 11G30 14G10 14G25 14K12 14K15 PDF BibTeX XML Cite \textit{D. Ulmer}, Invent. Math. 167, No. 2, 379--408 (2007; Zbl 1110.11019) Full Text: DOI arXiv OpenURL
Kato, Kazuya; Trihan, Fabien On the conjectures of Birch and Swinnerton-Dyer in characteristic \(p>0\). (English) Zbl 1046.11047 Invent. Math. 153, No. 3, 537-592 (2003). Reviewer: Amilcar Pacheco (Rio de Janeiro) MSC: 11G40 14G10 14F30 PDF BibTeX XML Cite \textit{K. Kato} and \textit{F. Trihan}, Invent. Math. 153, No. 3, 537--592 (2003; Zbl 1046.11047) Full Text: DOI OpenURL