Pairs of additive forms and Artin's conjecture

• Autorzy: H. Godinho , C. Ripoll
• Języki publikacji: EN

Kategorie tematyczne

• 11D79: Congruences in many variables
• 11D72: Equations in many variables

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1999
• Tom: 90
• Numer: 3
• Strony: 203-216

Daty

wydano

1999

otrzymano

1997-07-28

poprawiono

1999-03-30

Twórcy

autor

H. Godinho

• Departamento de Matemática, UnB, Brasília, DF, Brasil, 70910-900

autor

C. Ripoll

• Instituto de Matemática, UFRS, Porto Alegre, RS, Brasil, 91509-900

Bibliografia

• [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.
• [ABC] O. D. Atkinson, J. Brüdern and R. J. Cook, Simultaneous additive congruences to a large prime modulus, Mathematika 39 (1992), 1-9.
• [DL1] H. Davenport and D. J. Lewis, Cubic equations of additive type, Philos. Trans. Roy. Soc. London Ser. A 261 (1966), 97-136.
• [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.
• [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.