Landquist, Eric; Scheidler, Renate; Stein, Andreas Class number and regulator computation in cubic function fields. arXiv:1601.03309 Preprint, arXiv:1601.03309 [math.NT] (2016). MSC: 11R16 11R58 11R29 11Y16 11Y40 14H05 14Q05 BibTeX Cite \textit{E. Landquist} et al., ``Class number and regulator computation in cubic function fields'', Preprint, arXiv:1601.03309 [math.NT] (2016) Full Text: arXiv OA License
Jacobson, M. J. jun.; Lee, Y.; Scheidler, R.; Williams, H. C. Construction of all cubic function fields of a given square-free discriminant. (English) Zbl 1390.11134 Int. J. Number Theory 11, No. 6, 1839-1885 (2015). MSC: 11Y40 11R58 11R16 11R11 PDFBibTeX XMLCite \textit{M. J. Jacobson jun.} et al., Int. J. Number Theory 11, No. 6, 1839--1885 (2015; Zbl 1390.11134) Full Text: DOI
Rozenhart, Pieter; Jacobson, Michael jun.; Scheidler, Renate Tabulation of cubic function fields via polynomial binary cubic forms. (English) Zbl 1290.11154 Math. Comput. 81, No. 280, 2335-2359 (2012). Reviewer: Andreas Stein (Oldenburg) MSC: 11R58 11Y40 11R16 PDFBibTeX XMLCite \textit{P. Rozenhart} et al., Math. Comput. 81, No. 280, 2335--2359 (2012; Zbl 1290.11154) Full Text: DOI arXiv
Landquist, E.; Rozenhart, P.; Scheidler, R.; Webster, J.; Wu, Q. An explicit treatment of cubic function fields with applications. (English) Zbl 1213.14053 Can. J. Math. 62, No. 4, 787-807 (2010). Reviewer: Vasyl I. Andriychuk (Lviv) MSC: 14H05 11R58 14H45 11G20 11G30 11R16 11R29 14G50 PDFBibTeX XMLCite \textit{E. Landquist} et al., Can. J. Math. 62, No. 4, 787--807 (2010; Zbl 1213.14053) Full Text: DOI
Wu, Qingquan; Scheidler, Renate An explicit treatment of biquadratic function fields. (English) Zbl 1239.11134 Contrib. Discrete Math. 2, No. 1, 43-60 (2007). MSC: 11R58 11R16 PDFBibTeX XMLCite \textit{Q. Wu} and \textit{R. Scheidler}, Contrib. Discrete Math. 2, No. 1, 43--60 (2007; Zbl 1239.11134)
Scheidler, R. Algorithmic aspects of cubic function fields. (English) Zbl 1125.11363 Buell, Duncan (ed.), Algorithmic number theory. 6th international symposium, ANTS-VI, Burlington, VT, USA, June 13–18, 2004. Proceedings. Berlin: Springer (ISBN 3-540-22156-5/pbk). Lecture Notes in Computer Science 3076, 395-410 (2004). MSC: 11Y40 11R58 11R16 11R27 PDFBibTeX XMLCite \textit{R. Scheidler}, Lect. Notes Comput. Sci. 3076, 395--410 (2004; Zbl 1125.11363) Full Text: DOI
Lee, Y.; Scheidler, R.; Yarrish, C. Computation of the fundamental units and the regulator of a cyclic cubic function field. (English) Zbl 1064.11082 Exp. Math. 12, No. 2, 211-225 (2003). Reviewer: Michael Pohst (Berlin) MSC: 11Y40 11R58 11R27 11R16 PDFBibTeX XMLCite \textit{Y. Lee} et al., Exp. Math. 12, No. 2, 211--225 (2003; Zbl 1064.11082) Full Text: DOI Euclid EuDML
Scheidler, Renate Reduction in purely cubic function fields of unit rank one. (English) Zbl 1035.11057 Bosma, Wieb (ed.), Algorithmic number theory. 4th international symposium. ANTS-IV, Leiden, the Netherlands, July 2–7, 2000. Proceedings. Berlin: Springer (ISBN 3-540-67695-3). Lect. Notes Comput. Sci. 1838, 515-532 (2000). Reviewer: Robert F. Lax (Baton Rouge) MSC: 11R58 11Y16 11R16 14H05 PDFBibTeX XMLCite \textit{R. Scheidler}, Lect. Notes Comput. Sci. 1838, 515--532 (2000; Zbl 1035.11057)
Scheidler, R. Purely cubic complex function fields with small units. (English) Zbl 1160.11363 Acta Arith. 95, No. 4, 289-304 (2000). MSC: 11R58 11R16 11R27 14H05 PDFBibTeX XMLCite \textit{R. Scheidler}, Acta Arith. 95, No. 4, 289--304 (2000; Zbl 1160.11363) Full Text: DOI EuDML Link
Scheidler, R.; Stein, A. Voronoi’s algorithm in purely cubic congruence function fields of unit rank 1. (English) Zbl 1042.11068 Math. Comput. 69, No. 231, 1245-1266 (2000). MSC: 11R16 11R27 11R58 11-04 PDFBibTeX XMLCite \textit{R. Scheidler} and \textit{A. Stein}, Math. Comput. 69, No. 231, 1245--1266 (2000; Zbl 1042.11068) Full Text: DOI
Scheidler, R. Purely cubic function fields with short periods. (English) Zbl 0968.11040 Publ. Math. Debr. 54, No. 3-4, 497-511 (1999). MSC: 11R58 11Y65 11R16 11R27 PDFBibTeX XMLCite \textit{R. Scheidler}, Publ. Math. Debr. 54, No. 3--4, 497--511 (1999; Zbl 0968.11040)
Scheidler, Renate; Stein, Andreas Unit computation in purely cubic function fields of unit rank 1. (English) Zbl 0935.11051 Buhler, J. P. (ed.), Algorithmic number theory. 3rd international symposium, ANTS-III, Portland, OR, USA, June 21-25, 1998. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1423, 592-606 (1998). Reviewer: Claus Fieker (Berlin) MSC: 11Y40 11R27 11R16 11R58 PDFBibTeX XMLCite \textit{R. Scheidler} and \textit{A. Stein}, Lect. Notes Comput. Sci. 1423, 592--606 (1998; Zbl 0935.11051)