{"id":307,"date":"2023-03-23T16:45:13","date_gmt":"2023-03-23T15:45:13","guid":{"rendered":"https:\/\/franckleprevost.com\/?page_id=307"},"modified":"2023-05-04T08:36:04","modified_gmt":"2023-05-04T07:36:04","slug":"articles-in-mathematics","status":"publish","type":"page","link":"https:\/\/franckleprevost.com\/en\/articles-in-mathematics\/","title":{"rendered":"Articles in Mathematics"},"content":{"rendered":"
    \n
  1. On the computation of class polynomials with \u201cThetanullwerte\u201d and its applications to the unit group\u00a0computation.
    With O. Uzunkohl, M. Pohst, Journal of Experimental Mathematics, <\/em>20<\/strong> (3), 271-281 (2011).<\/li>\n\n\n\n
  2. Jacobians of genus 2 curves with a rational point of order 11.
    With N. Bernard, M. Pohst. Journal of Experimental Mathematics, <\/em>18<\/strong> (1), 65-70 (2009).<\/li>\n\n\n\n
  3. Units in some parametric families of quartic fields.
    With M. Pohst, A. Sch\u00f6pp. Acta Arithmetica <\/em>127<\/strong>, 205-216 (2007).<\/li>\n\n\n\n
  4. Generating Anomalous Elliptic Curves.
    With J. Monnerat, S. Varrette, S. Vaudenay. Journal: Information Processing Letters <\/em>93<\/strong> (5), 225-230 (2005).<\/li>\n\n\n\n
  5. Rational torsion of J<\/em>0<\/sub>(N<\/em>) for hyperelliptic modular curves and families of Jacobians of genus 2 and genus 3 curves with rational point of order 5, 7 or 10.
    With M. Pohst , A. Sch\u00f6pp. Abh. Math. Sem. Univ. Hamburg <\/em>74<\/strong>, 193-203 (2004).<\/li>\n\n\n\n
  6. Familles de polyn\u00f4mes li\u00e9es aux courbes modulaires X<\/em>1<\/sub>(l<\/em>) unicursales et points rationnels non-triviaux de courbes elliptiques quotient.
    With M. Pohst, A. Sch\u00f6pp. Acta Artithmetica <\/em>110<\/strong>, 401-410 (2003).<\/li>\n\n\n\n
  7. Empirical evidence for the Birch and Swinnerton-Dyer conjectures for the modular Jacobians of genus 2 curves.
    With E.V. Flynn, E.F. Schaefer, W. Stein, M. Stoll, J.L. Wetherell. Mathematics of Computation,<\/em> 70<\/strong>, No. 236, 1675-1697 (2001).<\/li>\n\n\n\n
  8. Five torsion points on curves of genus two.
    With John Boxall, David Grant. Journal of the London Mathematical Society <\/em>64<\/strong> (1), 29-43 (2001).<\/li>\n\n\n\n
  9. Large torsion subgroups of split Jacobians of curves of genus two or three.
    With Everett Howe, Bj\u00f6rn Poonen. Forum Mathematicum, <\/em>12<\/strong>, 315-364 (2000).<\/li>\n\n\n\n
  10. An infinite tower of genus 2 curves related to the Kowalewski top.
    With Dimitri Markushevich. Journal f\u00fcr die reine und angewandte Mathematik, <\/em>514<\/strong>, 103-111 (1999).<\/li>\n\n\n\n
  11. Sur certaines surfaces elliptiques et courbes elliptiques de Mordell de rang non-nul associ\u00e9es \u00e0 des discriminants de polyn\u00f4mes cubiques ou quartiques.
    Journal of Number Theory, <\/em>78<\/strong>, 149-160 (1999).<\/li>\n\n\n\n
  12. Appendice\u00a0: quelques donn\u00e9es statistiques.
    With Stefane Fermigier, Claus Fieker. Journal of Number Theory, <\/em>78<\/strong>, 160-165 (1999).<\/li>\n\n\n\n
  13. The modular points of a genus 2 quotient of X<\/em>0<\/sub>(67).
    Proceeding of the Finite Field Conference of the American Mathematical Society<\/em>. Contemporary Mathematics, <\/em>245<\/strong>, 181-187 (1999).<\/li>\n\n\n\n
  14. Rev\u00eatements de courbes elliptiques \u00e0 multiplication complexe par des courbes hyperelliptiques et sommes de caract\u00e8res.
    With Fran\u00e7ois Morain. Journal of Number Theory. <\/em>64<\/strong> (2), 165-182 (1997).<\/li>\n\n\n\n
  15. Une caract\u00e9risation diff\u00e9rentielle des points de Weierstra\u00df g\u00e9n\u00e9ralis\u00e9s d\u2019une surface de Riemann compacte de genre g \u2265 2.
    Journal de Math\u00e9matiques Pures et Appliqu\u00e9es, <\/em>76<\/strong>, 801-80 (1997).<\/li>\n\n\n\n
  16. Sur certains sous-groupes de torsion de Jacobiennes de courbes hyperelliptiques de genre g \u2265 1.
    Manuscripta Mathematica, <\/em>92<\/strong> (1), 47-63 (1997).<\/li>\n\n\n\n
  17. Sous-groupes de torsion d\u2019ordres \u00e9lev\u00e9s de Jacobiennes d\u00e9composables de courbes de genre 2.
    With Everett Howe, Bj\u00f6rn Poonen. C.R. Acad. Sci. Paris, <\/em>323<\/strong>, S\u00e9rie 1, No 9, 1031-1034 (1996).<\/li>\n\n\n\n
  18. Sur une conjecture sur les points de torsion rationnels des Jacobiennes de courbes.
    Journal f\u00fcr die reine und angewandte Mathematik. <\/em>473<\/strong>, 59-68 (1996).<\/li>\n\n\n\n
  19. Jacobiennes des certaines courbes de genre 2 : torsion et simplicit\u00e9.
    Journal de Th\u00e9orie des Nombres de Bordeaux, <\/em>7<\/strong>, 283-306, \u00ab Actes des Journ\u00e9es Arithm\u00e9tiques 1993 \u00bb <\/em>(1995).<\/li>\n\n\n\n
  20. Courbes modulaires et 11-rang de corps quadratiques.
    Experimental Mathematics. <\/em>2<\/strong>, No 2, 137-146 (1993).<\/li>\n\n\n\n
  21. Points rationnels de torsion de Jacobiennes de certaines courbes de genre 2.
    C.R. Acad. Sci. Paris, <\/em>316<\/strong>, s\u00e9rie 1, 819-821 (1993).<\/li>\n\n\n\n
  22. Famille de courbes hyperelliptiques de genre g munies d\u2019une classe de diviseurs rationnels d\u2019ordre 2g2 +4g +1.
    S\u00e9minaire de Th\u00e9orie des Nombres de Paris, Progress in Math., Birkh\u00e4user, <\/em>116<\/strong>,107-119 (1991-1992).<\/li>\n\n\n\n
  23. Torsion sur des familles de courbes de genre g.
    Mauscripta Mathematica, <\/em>75<\/strong>, 303-326 (1992).<\/li>\n\n\n\n
  24. Familles de courbes de genres 2 munies d\u2019une classe de diviseurs rationnels d\u2019ordre 15, 17, 19 ou 21.
    C.R. Acad. Sci. Paris, <\/em>313<\/strong>, s\u00e9rie 1, 771-774 (1991).<\/li>\n\n\n\n
  25. Famille de courbes de genre 2 munies d\u2019une classe de diviseurs rationnels d\u2019ordre 13.
    C.R. Acad. Sci. Paris, <\/em>313<\/strong>, s\u00e9rie 1, 451-545 (1991).<\/li>\n<\/ol>","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-307","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/franckleprevost.com\/en\/wp-json\/wp\/v2\/pages\/307","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/franckleprevost.com\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/franckleprevost.com\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/franckleprevost.com\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/franckleprevost.com\/en\/wp-json\/wp\/v2\/comments?post=307"}],"version-history":[{"count":5,"href":"https:\/\/franckleprevost.com\/en\/wp-json\/wp\/v2\/pages\/307\/revisions"}],"predecessor-version":[{"id":1094,"href":"https:\/\/franckleprevost.com\/en\/wp-json\/wp\/v2\/pages\/307\/revisions\/1094"}],"wp:attachment":[{"href":"https:\/\/franckleprevost.com\/en\/wp-json\/wp\/v2\/media?parent=307"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}