@article{RSMUP_2011__126__47_0, author = {Veneziano, Francesco}, title = {Quadratic integral solutions to double {Pell} equations}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {47--61}, publisher = {Seminario Matematico of the University of Padua}, volume = {126}, year = {2011}, mrnumber = {2918198}, zbl = {1273.11056}, language = {en}, url = {http://archive.numdam.org/item/RSMUP_2011__126__47_0/} }
TY - JOUR AU - Veneziano, Francesco TI - Quadratic integral solutions to double Pell equations JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2011 SP - 47 EP - 61 VL - 126 PB - Seminario Matematico of the University of Padua UR - http://archive.numdam.org/item/RSMUP_2011__126__47_0/ LA - en ID - RSMUP_2011__126__47_0 ER -
%0 Journal Article %A Veneziano, Francesco %T Quadratic integral solutions to double Pell equations %J Rendiconti del Seminario Matematico della Università di Padova %D 2011 %P 47-61 %V 126 %I Seminario Matematico of the University of Padua %U http://archive.numdam.org/item/RSMUP_2011__126__47_0/ %G en %F RSMUP_2011__126__47_0
Veneziano, Francesco. Quadratic integral solutions to double Pell equations. Rendiconti del Seminario Matematico della Università di Padova, Tome 126 (2011), pp. 47-61. http://archive.numdam.org/item/RSMUP_2011__126__47_0/
[AH91] Abelian varieties and curves in , Compositio Math., 78, 2 (1991), pp. 227-238. | EuDML | Numdam | MR | Zbl
- ,[CZ03] On the number of integral points on algebraic curves, J. Reine Angew. Math., 565 (2003), pp. 27-42. | MR | Zbl
- ,[CZ04] On integral points on surfaces, Ann. of Math. (2), 160, 2 (2004), pp. 705-726. | MR | Zbl
- ,[DF93] Abelian varieties in and points of bounded degree on algebraic curves, Compositio Math., 88, 3 (1993), pp. 235-249. | EuDML | Numdam | MR | Zbl
- ,[EE93] Edited by B. Edixhoven - J.-H. Evertse, Diophantine approximation and abelian varieties, Lecture Notes in Mathematics, vol. 1566, Springer-Verlag, Berlin (1993), Introductory lectures, Papers from the conference held in Soesterberg, April 12-16, 1992. | MR | Zbl
[Eve95] The number of solutions of decomposable form equations, Invent. Math., 122, 3 (1995), pp. 559-601. | EuDML | MR | Zbl
,[HS91] Bielliptic curves and symmetric products, Proc. Amer. Math. Soc., 112, 2 (1991), pp. 347-356. | MR | Zbl
- ,[Mah35] On the lattice points on curves of genus 1, Proc. London Math. Soc., 39 (1935), pp. 431-466. | JFM
,[Mor69] Diophantine equations, Pure and Applied Mathematics, Vol. 30, Academic Press, London (1969). | MR | Zbl
,[NW02] Holomorphic curves and integral points off divisors, Math. Z., 239, 3 (2002), pp. 593-610. | MR | Zbl
- ,[Ser88] Algebraic groups and class fields, Graduate Texts in Mathematics, vol. 117, Springer-Verlag, New York (1988), Translated from the French. | MR | Zbl
,[Sil83] Integer points on curves of genus , J. London Math. Soc. (2), 28, 1 (1983), pp. 1-7. | MR | Zbl
,[Voj87] Diophantine approximations and value distribution theory, Lecture Notes in Mathematics, vol. 1239, Springer-Verlag, Berlin (1987). | MR | Zbl
,[Voj91] Arithmetic discriminants and quadratic points on curves, Arithmetic algebraic geometry (Texel, 1989), Progr. Math., vol. 89, Birkhäuser Boston, Boston, MA (1991), pp. 359-376. | MR | Zbl
,[Voj92] A generalization of theorems of Faltings and Thue-Siegel-Roth-Wirsing, J. Amer. Math. Soc., 5, 4 (1992), pp. 763-804. | MR | Zbl
,[Voj96] Integral points on subvarieties of semiabelian varieties. I, Invent. Math., 126, 1 (1996), pp. 133-181. | MR | Zbl
,[Wei07] Number theory, Modern Birkhäuser Classics, Birkhäuser Boston Inc., Boston, MA (2007), An approach through history from Hammurapi to Legendre, Reprint of the 1984 edition. | MR | Zbl
,