Petit, Valentin Non-divisible point on a two-parameter family of elliptic curves. (English) Zbl 07456314 Res. Number Theory 8, No. 1, Paper No. 6, 16 p. (2022). Reviewer: Andrej Dujella (Zagreb) MSC: 11G05 11G50 PDF BibTeX XML Cite \textit{V. Petit}, Res. Number Theory 8, No. 1, Paper No. 6, 16 p. (2022; Zbl 07456314) Full Text: DOI arXiv OpenURL
Louboutin, Stéphane R. On Ennola’s conjecture on non-Galois cubic number fields with exceptional units. (English) Zbl 1480.11138 Mosc. Math. J. 21, No. 4, 789-805 (2021). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11R16 11R27 PDF BibTeX XML Cite \textit{S. R. Louboutin}, Mosc. Math. J. 21, No. 4, 789--805 (2021; Zbl 1480.11138) Full Text: Link OpenURL
Louboutin, Stéphane R. On the order generated by the conjugates of an algebraic integer. (English) Zbl 1460.11122 Gładki, Paweł (ed.) et al., Algebra, logic and number theory. Proceedings of the 5th joint conferences, Będlewo, Poland, June 24–29, 2018. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 121, 107-124 (2020). MSC: 11R04 11R16 11R20 PDF BibTeX XML Cite \textit{S. R. Louboutin}, Banach Cent. Publ. 121, 107--124 (2020; Zbl 1460.11122) Full Text: DOI OpenURL
Daniels, Harris B.; Lozano-Robledo, Álvaro; Wallace, Erik Bounds of the rank of the Mordell-Weil group of Jacobians of hyperelliptic curves. (English. French summary) Zbl 1475.11120 J. Théor. Nombres Bordx. 32, No. 1, 231-258 (2020). Reviewer: Ana María Botero (Regensburg) MSC: 11G10 14K15 PDF BibTeX XML Cite \textit{H. B. Daniels} et al., J. Théor. Nombres Bordx. 32, No. 1, 231--258 (2020; Zbl 1475.11120) Full Text: DOI arXiv OpenURL
Chinis, Jake Computing the average root number of an elliptic surface. (English) Zbl 1476.11088 J. Number Theory 194, 83-116 (2019). Reviewer: Kazuma Morita (Sapporo) MSC: 11G05 11G40 PDF BibTeX XML Cite \textit{J. Chinis}, J. Number Theory 194, 83--116 (2019; Zbl 1476.11088) Full Text: DOI arXiv OpenURL
Bettin, Sandro; David, Chantal; Delaunay, Christophe Non-isotrivial elliptic surfaces with non-zero average root number. (English) Zbl 1456.11100 J. Number Theory 191, 1-84 (2018). MSC: 11G05 11G40 PDF BibTeX XML Cite \textit{S. Bettin} et al., J. Number Theory 191, 1--84 (2018; Zbl 1456.11100) Full Text: DOI arXiv Link OpenURL
Gładki, Paweł; Marshall, Murray Witt equivalence of function fields over global fields. (English) Zbl 1394.11034 Trans. Am. Math. Soc. 369, No. 11, 7861-7881 (2017). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11E81 12J20 11E04 11E12 PDF BibTeX XML Cite \textit{P. Gładki} and \textit{M. Marshall}, Trans. Am. Math. Soc. 369, No. 11, 7861--7881 (2017; Zbl 1394.11034) Full Text: DOI arXiv OpenURL
Sarnak, Peter; Shin, Sug Woo; Templier, Nicolas Families of \(L\)-functions and their symmetry. (English) Zbl 1417.11078 Müller, Werner (ed.) et al., Families of automorphic forms and the trace formula. Proceedings of the Simons symposium, Puerto Rico, January 26 – February 1, 2014. Cham: Springer. Simons Symp., 531-578 (2016). MSC: 11F66 11F70 PDF BibTeX XML Cite \textit{P. Sarnak} et al., in: Families of automorphic forms and the trace formula. Proceedings of the Simons symposium, Puerto Rico, January 26 -- February 1, 2014. Cham: Springer. 531--578 (2016; Zbl 1417.11078) Full Text: DOI arXiv OpenURL
Balady, Steve Families of cyclic cubic fields. (English) Zbl 1414.11132 J. Number Theory 167, 394-406 (2016). MSC: 11R16 11R27 PDF BibTeX XML Cite \textit{S. Balady}, J. Number Theory 167, 394--406 (2016; Zbl 1414.11132) Full Text: DOI arXiv OpenURL
Galateau, Aurélien Small height in fields generated by singular moduli. (English) Zbl 1383.11088 Proc. Am. Math. Soc. 144, No. 7, 2771-2786 (2016). MSC: 11G50 11G05 14H52 14G40 PDF BibTeX XML Cite \textit{A. Galateau}, Proc. Am. Math. Soc. 144, No. 7, 2771--2786 (2016; Zbl 1383.11088) Full Text: DOI Link OpenURL
David, Chantal; Huynh, Duc Khiem; Parks, James One-level density of families of elliptic curves and the Ratios Conjecture. (English) Zbl 1378.11066 Res. Number Theory 1, Paper No. 6, 37 p. (2015). MSC: 11G05 11G40 PDF BibTeX XML Cite \textit{C. David} et al., Res. Number Theory 1, Paper No. 6, 37 p. (2015; Zbl 1378.11066) Full Text: DOI arXiv OpenURL
Cho, Peter J.; Kim, Henry H. Dihedral and cyclic extensions with large class numbers. (English. French summary) Zbl 1275.11145 J. Théor. Nombres Bordx. 24, No. 3, 583-603 (2012). Reviewer: Bouchaïb Sodaïgui (Valenciennes) MSC: 11R29 11R32 11R42 11R21 PDF BibTeX XML Cite \textit{P. J. Cho} and \textit{H. H. Kim}, J. Théor. Nombres Bordx. 24, No. 3, 583--603 (2012; Zbl 1275.11145) Full Text: DOI Link OpenURL
Foster, Kurt HT90 and “simplest” number fields. (English) Zbl 1300.12004 Ill. J. Math. 55, No. 4, 1621-1655 (2011). Reviewer: Richard Massy (Valenciennes) MSC: 12E10 11R09 11R11 12F10 12F12 PDF BibTeX XML Cite \textit{K. Foster}, Ill. J. Math. 55, No. 4, 1621--1655 (2011; Zbl 1300.12004) Full Text: arXiv Euclid OpenURL
Hoshi, Akinari On correspondence between solutions of a family of cubic Thue equations and isomorphism classes of the simplest cubic fields. (English) Zbl 1258.11054 J. Number Theory 131, No. 11, 2135-2150 (2011). Reviewer: Günter Lettl (Graz) MSC: 11D59 11D25 11R16 PDF BibTeX XML Cite \textit{A. Hoshi}, J. Number Theory 131, No. 11, 2135--2150 (2011; Zbl 1258.11054) Full Text: DOI arXiv OpenURL
Louboutin, Stéphane R. Efficient computation of root numbers and class numbers of parametrized families of real abelian number fields. (English) Zbl 1109.11065 Math. Comput. 76, No. 257, 455-473 (2007). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11Y40 11R16 11R20 11R29 11R42 PDF BibTeX XML Cite \textit{S. R. Louboutin}, Math. Comput. 76, No. 257, 455--473 (2007; Zbl 1109.11065) Full Text: DOI OpenURL
Louboutin, Stéphane R. On the use of explicit bounds on residues of Dedekind zeta functions taking into account the behavior of small primes. (English) Zbl 1091.11039 J. Théor. Nombres Bordx. 17, No. 2, 559-573 (2005). Reviewer: Tauno Metsänkylä (Turku) MSC: 11R29 11R16 11R18 11R42 PDF BibTeX XML Cite \textit{S. R. Louboutin}, J. Théor. Nombres Bordx. 17, No. 2, 559--573 (2005; Zbl 1091.11039) Full Text: DOI Numdam Numdam EuDML OpenURL
Conrad, B.; Conrad, K.; Helfgott, H. Root numbers and ranks in positive characteristic. (English) Zbl 1113.11033 Adv. Math. 198, No. 2, 684-731 (2005). Reviewer: Roberto Dvornicich (Pisa) MSC: 11G05 11G40 14G25 PDF BibTeX XML Cite \textit{B. Conrad} et al., Adv. Math. 198, No. 2, 684--731 (2005; Zbl 1113.11033) Full Text: DOI arXiv OpenURL
Vulakh, L. Ya. Units in some families of algebraic number fields. (English) Zbl 1055.11065 Trans. Am. Math. Soc. 356, No. 6, 2325-2348 (2004). Reviewer: Thomas Schmidt (Corvallis) MSC: 11R27 11J70 11R16 11R80 PDF BibTeX XML Cite \textit{L. Ya. Vulakh}, Trans. Am. Math. Soc. 356, No. 6, 2325--2348 (2004; Zbl 1055.11065) Full Text: DOI OpenURL
Kishi, Yasuhiro A family of cyclic cubic polynomials whose roots are systems of fundamental units. (English) Zbl 1034.11060 J. Number Theory 102, No. 1, 90-106 (2003); erratum ibid. 103, No. 1, 132-133 (2003). (2003). Reviewer: Veikko Ennola (Turku) MSC: 11R16 11R27 11R29 PDF BibTeX XML Cite \textit{Y. Kishi}, J. Number Theory 102, No. 1, 90--106 (2003); erratum ibid. 103, No. 1, 132--133 (2003). (2003; Zbl 1034.11060) Full Text: DOI OpenURL
Kim, Hyun Kwang; Kim, Jung Soo Evaluation of zeta function of the simplest cubic field at negative odd integers. (English) Zbl 1034.11069 Math. Comput. 71, No. 239, 1243-1162 (2002); errata ibid. 78, No. 265 (2009). Reviewer: Michael Pohst (Berlin) MSC: 11Y40 11R42 11R16 PDF BibTeX XML Cite \textit{H. K. Kim} and \textit{J. S. Kim}, Math. Comput. 71, No. 239, 1243--1162 (2002; Zbl 1034.11069) Full Text: DOI OpenURL
Louboutin, Stéphane The exponent three class group problem for some real cyclic cubic number fields. (English) Zbl 0999.11068 Proc. Am. Math. Soc. 130, No. 2, 353-361 (2002). Reviewer: Franz Lemmermeyer (San Marcos) MSC: 11R16 11R29 11R42 PDF BibTeX XML Cite \textit{S. Louboutin}, Proc. Am. Math. Soc. 130, No. 2, 353--361 (2002; Zbl 0999.11068) Full Text: DOI OpenURL
Kida, Masanari Good reduction of elliptic curves over imaginary quadratic fields. (English) Zbl 1125.11329 J. Théor. Nombres Bordx. 13, No. 1, 201-209 (2001). MSC: 11G05 PDF BibTeX XML Cite \textit{M. Kida}, J. Théor. Nombres Bordx. 13, No. 1, 201--209 (2001; Zbl 1125.11329) Full Text: DOI Numdam EuDML EMIS OpenURL
Kim, Jung Soo Efficient computation of rank of elliptic curves using hyperelliptic curves associated with the simplest cubic fields. (English) Zbl 0974.11025 Proc. Japan Acad., Ser. A 76, No. 9, 129-131 (2000). Reviewer: Amílcar Pacheco (Rio de Janeiro) MSC: 11G05 11R16 PDF BibTeX XML Cite \textit{J. S. Kim}, Proc. Japan Acad., Ser. A 76, No. 9, 129--131 (2000; Zbl 0974.11025) Full Text: DOI OpenURL
Byeon, Dongho Quadratic twists of elliptic curves associated to the simplest cubic fields. (English) Zbl 0914.11032 Proc. Japan Acad., Ser. A 73, No. 10, 185-186 (1997). MSC: 11G05 14H52 11R16 11R29 14G05 PDF BibTeX XML Cite \textit{D. Byeon}, Proc. Japan Acad., Ser. A 73, No. 10, 185--186 (1997; Zbl 0914.11032) Full Text: DOI OpenURL
Byeon, Dongho A note on class numbers of the simplest cubic fields. (English) Zbl 0879.11063 J. Number Theory 65, No. 1, 175-178 (1997). Reviewer: H.Yokoi (Iwasaki) MSC: 11R29 11R16 PDF BibTeX XML Cite \textit{D. Byeon}, J. Number Theory 65, No. 1, 175--178 (1997; Zbl 0879.11063) Full Text: DOI Link OpenURL
Lemmermeyer, Franz; Pethö, Attila Simplest cubic fields. (English) Zbl 0851.11059 Manuscr. Math. 88, No. 1, 53-58 (1995). Reviewer: V.Ennola (Turku) MSC: 11R16 PDF BibTeX XML Cite \textit{F. Lemmermeyer} and \textit{A. Pethö}, Manuscr. Math. 88, No. 1, 53--58 (1995; Zbl 0851.11059) Full Text: DOI EuDML OpenURL
Nomura, Akito On the class numbers of certain Hilbert class fields. (English) Zbl 0806.11053 Manuscr. Math. 79, No. 3-4, 379-390 (1993). Reviewer: C.Parry (Blacksburg) MSC: 11R37 11R32 12F10 11R20 11R29 PDF BibTeX XML Cite \textit{A. Nomura}, Manuscr. Math. 79, No. 3--4, 379--390 (1993; Zbl 0806.11053) Full Text: DOI EuDML OpenURL
Kawachi, Mayumi; Nakano, Shin The 2-class groups of cubic fields and 2-descents on elliptic curves. (English) Zbl 0770.11049 Tôhoku Math. J., II. Ser. 44, No. 4, 557-565 (1992). Reviewer: S.Nakano (Nagoya) MSC: 11R29 11G05 11R16 PDF BibTeX XML Cite \textit{M. Kawachi} and \textit{S. Nakano}, Tohoku Math. J. (2) 44, No. 4, 557--565 (1992; Zbl 0770.11049) Full Text: DOI OpenURL