ArticleOriginal scientific text

Title

Pairs of additive forms and Artin's conjecture

Authors 1, 2

Affiliations

  1. Departamento de Matemática, UnB, Brasília, DF, Brasil, 70910-900
  2. Instituto de Matemática, UFRS, Porto Alegre, RS, Brasil, 91509-900

Bibliography

  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.
  2. [ABC] O. D. Atkinson, J. Brüdern and R. J. Cook, Simultaneous additive congruences to a large prime modulus, Mathematika 39 (1992), 1-9.
  3. [DL1] H. Davenport and D. J. Lewis, Cubic equations of additive type, Philos. Trans. Roy. Soc. London Ser. A 261 (1966), 97-136.
  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=2l, J. Number Theory 46 (1994), 391-408.
  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.
Pages:
203-216
Main language of publication
English
Received
1997-07-28
Accepted
1999-03-30
Published
1999
Exact and natural sciences