Sur l'arithmétique des quaternions et des biquaternions

Gaston Benneton

Annales scientifiques de l'École Normale Supérieure (1943)

  • Volume: 60, page 173-214
  • ISSN: 0012-9593

How to cite

top

Benneton, Gaston. "Sur l'arithmétique des quaternions et des biquaternions." Annales scientifiques de l'École Normale Supérieure 60 (1943): 173-214. <http://eudml.org/doc/81572>.

@article{Benneton1943,
author = {Benneton, Gaston},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {Number fields, function fields},
language = {fre},
pages = {173-214},
publisher = {Elsevier},
title = {Sur l'arithmétique des quaternions et des biquaternions},
url = {http://eudml.org/doc/81572},
volume = {60},
year = {1943},
}

TY - JOUR
AU - Benneton, Gaston
TI - Sur l'arithmétique des quaternions et des biquaternions
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1943
PB - Elsevier
VL - 60
SP - 173
EP - 214
LA - fre
KW - Number fields, function fields
UR - http://eudml.org/doc/81572
ER -

References

top
  1. [1] L. EULER, Œuvres. 
  2. [2] J.-L. LAGRANGE, Œuvres, 3, Paris, 1869, p. 189. 
  3. [3] C. F. GAUSS, Disquisitiones arithmeticae, Leipzig, 1801. 
  4. [4] A.-M. LEGENDRE, Théorie des Nombres, 2, Paris, 1830, p. 144. JFM30.0201.03
  5. [5] C. G. JACOBI, Fundamenta nova, Königsberg, 1829, p. 106, 184 ; Werke, 1, Berlin, 1891, p. 239 ; Werke, 6, p. 245. 
  6. [6] A. CAYLEY, Philos. Trans. London, 148, 1858, p. 17 ; Math. Papers, 2, Cambridge, 1889, p. 475. 
  7. [7] A. CAYLEY, London Edinb. Dublin philos. mag., 26, 1845, p. 210 ; Math. Papers, 1, Cambridge, 1889, p. 127, 301. 
  8. [8] F. BRIOSCHI, J. reine angew. Math., 52, 1856, p. 133. 
  9. [9] C. JORDAN, Traité des substitutions, Paris, 1870, p. 156. Zbl0828.01011JFM02.0280.02
  10. [10] R. LIPSCHITZ, Untersuchungen über die Summen von Quadraten, Bonn, 1886 ; J. Math. pures et appl., (4), 2, 1886, p. 373. JFM18.0152.02
  11. [11] A. HURWITZ. Nachr. Ges. Göttingen, 1896, p. 313, 336 ; Vorlesungen über die Zahlentheorie der Quaternionen, Berlin, 1919. JFM47.0106.01
  12. [12] A. HURWITZ, Nachr. Ges. Göttingen, 1898, p. 309. JFM29.0177.01
  13. [13] G. FONTENÉ, Bull. Soc. math. France, 27, 1899, p. 171. JFM30.0350.02
  14. [14] E. DUBOIS, Intermédiaire des mathématiciens, 18, 1911, p. 55. 
  15. [15] L. E. DICKSON, Proc. of the London math. Soc., 1921, p. 225. JFM48.0130.06
  16. [16] C. R. Acad Sc., Paris, 212, 1941, p. 591, 637. 
  17. [17] C. R. Acad. Sc., Paris, 207, 1938, p. 108 ; 214, 1942, p. 406, 459 ; 216, 1943, p. 262. 

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.