ArticleOriginal scientific text

Title

Counting solutions of decomposable form equations

Authors 1, 2

Affiliations

  1. School of Mathematics, University of East Anglia, Norwich, Norfolk NR4 7TJ, U.K.
  2. Institute of Mathematics and Informatics, Lajos Kossuth University, H-4010 Debrecen, Pf 12, Hungary

Bibliography

  1. G. R. Everest, Diophantine approximation and the distribution of normal integral generators, J. London Math. Soc. 28 (1983), 227-237.
  2. G. R. Everest, A 'Hardy-Littlewood' approach to the norm form equation, Math. Proc. Cambridge Philos. Soc. 104 (1988), 421-427.
  3. G. R. Everest, On the solution of the norm-form equation, Amer. J. Math. 114 (1992), 667-681.
  4. G. R. Everest, Mean values of algebraic linear forms, Proc. London Math. Soc. 70 (1995), 529-555.
  5. J.-H. Evertse and K. Győry, The number of families of solutions of decomposable form equations, Acta Arith., to appear.
  6. K. Győry, Sur une classe des corps de nombres algébriques et ses applications, Publ. Math. Debrecen 22 (1975), 151-175.
  7. K. Győry, On the numbers of families of solutions of systems of decomposable form equations, Publ. Math. Debrecen 42 (1993), 65-101.
  8. K. Győry und A. Pethő, Über die Verteilung der Lösungen von Normformen Gleichungen II, Acta Arith. 32 (1977), 349-363.
  9. K. Győry und A. Pethő, Über die Verteilung der Lösungen von Normformen Gleichungen III, Acta Arith. 37 (1980), 143-165.
  10. G. Karpilovsky, Unit Groups of Classical Rings, Oxford University Press, 1988.
  11. W. M. Schmidt, Norm form equations, Ann. of Math. 96 (1972), 526-551.
  12. S. Sehgal, Topics in Group Rings, Dekker, New York, 1978
Pages:
173-191
Main language of publication
English
Received
1996-09-17
Published
1997
Exact and natural sciences