# Pairs of additive forms and Artin's conjecture

Acta Arithmetica (1999)

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

## Access Full Article

top## How to cite

topH. 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- [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
- [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
- [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
- [DL2] H. Davenport and D. J. Lewis, Two additive equations, Proc. Sympos. Pure Math. 12 (1967), 74-98.
- [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).
- [G1] H. Godinho, A pair of additive quartic forms, Ph.D. thesis, University of Michigan, 1992.
- [G2] H. Godinho, Additive forms of degree $k={2}^{l}$, J. Number Theory 46 (1994), 391-408. Zbl0797.11039
- [G3] H. Godinho, On p-adic zeros of additive forms of even degree, ibid., to appear.
- [W] T. D. Wooley, On simultaneous additive equations II, J. Reine Angew. Math. 419 (1991), 141-198. Zbl0721.11011

## NotesEmbed ?

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