Pairs of additive forms and Artin's conjecture

H. Godinho; C. Ripoll

Acta Arithmetica (1999)

  • Volume: 90, Issue: 3, page 203-216
  • ISSN: 0065-1036

How to cite

top

H. Godinho, and C. Ripoll. "Pairs of additive forms and Artin's conjecture." Acta Arithmetica 90.3 (1999): 203-216. <http://eudml.org/doc/207324>.

@article{H1999,
author = {H. Godinho, C. Ripoll},
journal = {Acta Arithmetica},
keywords = {pairs of additive forms; Artin's conjecture; diagonal forms; common -adic zero},
language = {eng},
number = {3},
pages = {203-216},
title = {Pairs of additive forms and Artin's conjecture},
url = {http://eudml.org/doc/207324},
volume = {90},
year = {1999},
}

TY - JOUR
AU - H. Godinho
AU - C. Ripoll
TI - Pairs of additive forms and Artin's conjecture
JO - Acta Arithmetica
PY - 1999
VL - 90
IS - 3
SP - 203
EP - 216
LA - eng
KW - pairs of additive forms; Artin's conjecture; diagonal forms; common -adic zero
UR - http://eudml.org/doc/207324
ER -

References

top
  1. [AC] O. D. Atkinson and R. J. Cook, Pairs of additive congruences to a large prime modulus, J. Austral. Math. Soc. Ser. A 46 (1989), 438-455. Zbl0676.10014
  2. [ABC] O. D. Atkinson, J. Brüdern and R. J. Cook, Simultaneous additive congruences to a large prime modulus, Mathematika 39 (1992), 1-9. Zbl0774.11016
  3. [DL1] H. Davenport and D. J. Lewis, Cubic equations of additive type, Philos. Trans. Roy. Soc. London Ser. A 261 (1966), 97-136. Zbl0227.10038
  4. [DL2] H. Davenport and D. J. Lewis, Two additive equations, Proc. Sympos. Pure Math. 12 (1967), 74-98. 
  5. [D] V. B. Demyanov, Pairs of quadratic forms over a complete field with discrete norm with finite residue class field, Izv. Akad. Nauk SSSR 20 (1956), 307-324 (in Russian). 
  6. [G1] H. Godinho, A pair of additive quartic forms, Ph.D. thesis, University of Michigan, 1992. 
  7. [G2] H. Godinho, Additive forms of degree k = 2 l , J. Number Theory 46 (1994), 391-408. Zbl0797.11039
  8. [G3] H. Godinho, On p-adic zeros of additive forms of even degree, ibid., to appear. 
  9. [W] T. D. Wooley, On simultaneous additive equations II, J. Reine Angew. Math. 419 (1991), 141-198. Zbl0721.11011

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.