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

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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

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  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

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