Negatively reduced ideals in orders of real quadratic fields: even discriminants

Franz Halter-Koch; Philip Leonard

Colloquium Mathematicae (1996)

  • Volume: 69, Issue: 1, page 147-153
  • ISSN: 0010-1354

How to cite

top

Halter-Koch, Franz, and Leonard, Philip. "Negatively reduced ideals in orders of real quadratic fields: even discriminants." Colloquium Mathematicae 69.1 (1996): 147-153. <http://eudml.org/doc/210318>.

@article{Halter1996,
author = {Halter-Koch, Franz, Leonard, Philip},
journal = {Colloquium Mathematicae},
keywords = {reduced ideals; real quadratic fields; even discriminant; Pell equation},
language = {eng},
number = {1},
pages = {147-153},
title = {Negatively reduced ideals in orders of real quadratic fields: even discriminants},
url = {http://eudml.org/doc/210318},
volume = {69},
year = {1996},
}

TY - JOUR
AU - Halter-Koch, Franz
AU - Leonard, Philip
TI - Negatively reduced ideals in orders of real quadratic fields: even discriminants
JO - Colloquium Mathematicae
PY - 1996
VL - 69
IS - 1
SP - 147
EP - 153
LA - eng
KW - reduced ideals; real quadratic fields; even discriminant; Pell equation
UR - http://eudml.org/doc/210318
ER -

References

top
  1. [1] P. G. L. Dirichlet und R. Dedekind, Vorlesungen über Zahlentheorie, Chelsea, 1968. 
  2. [2] P. Kaplan, Idéaux k-réduits des ordres des corps quadratiques réels, in preparation. 
  3. [3] P. Kaplan et P. A. Leonard, Idéaux négativement réduits d'un corps quadratique réel et un problème d'Eisenstein, Enseign. Math. 39 (1993), 195-210. 
  4. [4] P. Kaplan and K. S. Williams, The distance between ideals in the orders of a real quadratic field, ibid. 36 (1990), 321-358. Zbl0726.11024
  5. [5] H. Koch, Algebraic number fields, in: Number Theory II, A. N. Parshin and I. R. Shafarevich (eds.), Springer, 1992. Zbl0819.11044
  6. [6] Y. Mimura, On odd solutions of the equation X 2 - D Y 2 = 4 , in: Proc. Sympos. on Analytic Number Theory and Related Topics, Gakushuin University, Tokyo, 1992, 110-118. 
  7. [7] D. B. Zagier, Zetafunktionen und quadratische Körper, Springer, 1981. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.